Search results for 'matrix mechanics' (try it on Scholar)

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  1.  28
    Slobodan Perovic (2008). Why Were Matrix Mechanics and Wave Mechanics Considered Equivalent? Studies in History and Philosophy of Science Part B 39 (2):444-461.
    A recent rethinking of the early history of Quantum Mechanics deemed the late 1920s agreement on the equivalence of Matrix Mechanics and Wave Mechanics, prompted by Schrödinger's 1926 proof, a myth. Schrödinger supposedly failed to prove isomorphism, or even a weaker equivalence (“Schrödinger-equivalence”) of the mathematical structures of the two theories; developments in the early 1930s, especially the work of mathematician von Neumann provided sound proof of mathematical equivalence. The alleged agreement about the Copenhagen Interpretation, predicated (...)
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  2.  41
    Slobodan Perovic (2008). Why Were Two Theories (Matrix Mechanics and Wave Mechanics) Deemed Logically Distinct, and yet Equivalent, in Quantum Mechanics? In Christopher Lehrer (ed.), First Annual Conference in the Foundations and History of Quantum Physics. Max Planck Institute for History of Science
    A recent rethinking of the early history of Quantum Mechanics deemed the late 1920s agreement on the equivalence of Matrix Mechanics and Wave Mechanics, prompted by Schrödinger’s 1926 proof, a myth. Schrödinger supposedly failed to achieve the goal of proving isomorphism of the mathematical structures of the two theories, while only later developments in the early 1930s, especially the work of mathematician John von Neumman (1932) provided sound proof of equivalence. The alleged agreement about the Copenhagen (...)
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  3. Michel Janssen, Van Vleck and Slater: Two Americans on the Road to Matrix Mechanics.
    I relate the story of how matrix mechanics grew out of the treatment of optical dispersion in the old quantum theory, paying special attention to the contributions of the American theoretical physicists John H. Van Vleck and John C. Slater. Van Vleck shares the credit with Max Born for being the first to publish a full derivation of the crucial Kramers dispersion formula using Bohr’s correspondence principle. Slater was one of the architects of the short-lived but influential Bohr-Kramers-Slater (...)
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  4. John Hendry (1986). Jagdish Mehra & Helmut Rechenberg. The Historical Development of Quantum Theory. Volume 1, The Quantum Theory of Planck, Einstein, Bohr and Sommerfeld: Its Foundations and the Rise of its Difficulties 1900–1925. Volume 2, The Discovery of the Quantum Mechanics 1925. Volume 3, The Formulation of Matrix Mechanics and its Modifications 1925–1926. Volume 4, The Fundamental Equations of Quantum Mechanics 1925–1926 and The Reception of the New Quantum Mechanics 1925–1926. New York, Heidelberg and Berlin: Springer-Verlag, 1982. Volume 1 in Two Parts, Pp. Xlvii + 372, Vi + 506. ISBN 3-540-90642-8, 3-540-90667-3. DM 75, DM 85. Volume 2, Pp. Vii + 355. ISBN 3-540-90674-6. DM 65. Volume 3, Pp. Vii + 334. ISBN 3-540-90675-4. DM 75. Volume 4, Pp. Viii + 322. ISBN 3-540-90680-0. DM 75.Andrew Pickering. Constructing Quarks. A Sociological History of Particle Physics. Edinburgh: Edinburgh University Press, 1984. Pp. Xi + 468. ISBN 0-85224-458-4 £20. [REVIEW] British Journal for the History of Science 19 (2):206.
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  5. Slobodan Perovic (2008). Why Were Matrix Mechanics and Wave Mechanics Considered Equivalent? Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (2):444-461.
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  6.  6
    Authur A. Frost (1975). Matrix Formulation of Special Relativity in Classical Mechanics and Electromagnetic Theory. Foundations of Physics 5 (4):619-641.
    The two-component spinor theory of van der Waerden is put into a convenient matrix notation. The mathematical relations among various types of matrices and the rule for forming covariant expressions are developed. Relativistic equations of classical mechanics and electricity and magnetism are expressed in this notation. In this formulation the distinction between time and space coordinates in the four-dimensional space-time continuum falls out naturally from the assumption that a four-vector is represented by a Hermitian matrix. The indefinite (...)
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  7.  67
    Gui Lu Long, Yi-Fan Zhou, Jia-Qi Jin, Yang Sun & Hai-Woong Lee (2006). Density Matrix in Quantum Mechanics and Distinctness of Ensembles Having the Same Compressed Density Matrix. Foundations of Physics 36 (8):1217-1243.
    We clarify different definitions of the density matrix by proposing the use of different names, the full density matrix for a single-closed quantum system, the compressed density matrix for the averaged single molecule state from an ensemble of molecules, and the reduced density matrix for a part of an entangled quantum system, respectively. We show that ensembles with the same compressed density matrix can be physically distinguished by observing fluctuations of various observables. This is in (...)
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  8.  25
    Gabriele Brandstettter (2005). The Code of Terpsichore the Dance Theory of Carlo Blasis: Mechanics as the Matrix of Grace. Topoi 24 (1):67-79.
    The essay examines both the dances and the dance notation of renowned nineteenth century choreographer Carlo Blasis. It looks in detail at Blasis major treatise The Code of Terpsichore in an effort to evaluate how Blasis linked a science of movement to a conception of the body oriented around the prevailing aesthetics informing all of the fine arts. Identifying Blasis as both a philosopher and a mechanist, this essay analyzes his approach to teaching basic ballet vocabulary, and in particular the (...)
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  9.  2
    Robert Englman & Asher Yahalom (2015). Open Systems’ Density Matrix Properties in a Time Coarsened Formalism. Foundations of Physics 45 (6):673-690.
    The concept of time-coarsened density matrix for open systems has frequently featured in equilibrium and non-equilibrium statistical mechanics, without being probed as to the detailed consequences of the time averaging procedure. In this work we introduce and prove the need for a selective and non-uniform time-sampling, whose form depends on the properties of the bath. It is also applicable when an open microscopic sub-system is coupled to another finite system. By use of a time-periodic minimal coupling model between (...)
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  10.  26
    Detlef Dürr, Sheldon Goldstein, Roderich Tumulka & Nino Zanghí (2005). On the Role of Density Matrices in Bohmian Mechanics. Foundations of Physics 35 (3):449-467.
  11. August Stern (1992). Matrix Logic and Mind: A Probe Into a Unified Theory of Mind and Matter. Distributors for the U.S. And Canada, Elsevier Science Pub. Co..
    In this revolutionary work, the author sets the stage for the science of the 21st Century, pursuing an unprecedented synthesis of fields previously considered unrelated. Beginning with simple classical concepts, he ends with a complex multidisciplinary theory requiring a high level of abstraction. The work progresses across the sciences in several multidisciplinary directions: Mathematical logic, fundamental physics, computer science and the theory of intelligence. Extraordinarily enough, the author breaks new ground in all these fields. In the field of fundamental physics (...)
     
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  12.  7
    L. De la Peña, A. Valdés-Hernández & A. M. Cetto (2009). Quantum Mechanics as an Emergent Property of Ergodic Systems Embedded in the Zero-Point Radiation Field. Foundations of Physics 39 (11):1240-1272.
    The present paper reveals (non-relativistic) quantum mechanics as an emergent property of otherwise classical ergodic systems embedded in a stochastic vacuum or zero-point radiation field (zpf). This result provides a theoretical basis for understanding recent numerical experiments in which a statistical analysis of an atomic electron interacting with the zpf furnishes the quantum distribution for the ground state of the H atom. The action of the zpf on matter is essential within the present approach, but it is the ergodic (...)
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  13.  68
    F. A. Muller (1997). The Equivalence Myth of Quantum Mechanics —Part I. Studies in History and Philosophy of Science Part B 28 (1):35-61.
    The author endeavours to show two things: first, that Schrödingers (and Eckarts) demonstration in March (September) 1926 of the equivalence of matrix mechanics, as created by Heisenberg, Born, Jordan and Dirac in 1925, and wave mechanics, as created by Schrödinger in 1926, is not foolproof; and second, that it could not have been foolproof, because at the time matrix mechanics and wave mechanics were neither mathematically nor empirically equivalent. That they were is the Equivalence (...)
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  14.  66
    F. A. Muller (1997). The Equivalence Myth of Quantum Mechanics—Part II. Studies in History and Philosophy of Science Part B 28 (2):219-247.
    The author endeavours to show two things: first, that Schrödingers (and Eckarts) demonstration in March (September) 1926 of the equivalence of matrix mechanics, as created by Heisenberg, Born, Jordan and Dirac in 1925, and wave mechanics, as created by Schrödinger in 1926, is not foolproof; and second, that it could not have been foolproof, because at the time matrix mechanics and wave mechanics were neither mathematically nor empirically equivalent. That they were is the Equivalence (...)
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  15. D. Bohm & B. J. Hiley (1996). Statistical Mechanics and the Ontological Interpretation. Foundations of Physics 26 (6):823-846.
    To complete our ontological interpretation of quantum theory we have to conclude a treatment of quantum statistical mechanics. The basic concepts in the ontological approach are the particle and the wave function. The density matrix cannot play a fundamental role here. Therefore quantum statistical mechanics will require a further statistical distribution over wave functions in addition to the distribution of particles that have a specified wave function. Ultimately the wave function of the universe will he required, but (...)
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  16.  71
    O. Costa de Beauregard (1988). On the Zigzagging Causility Model of EPR Correlations and on the Interpretation of Quantum Mechanics. Foundations of Physics 18 (9):913-938.
    Being formalized inside the S-matrix scheme, the zigzagging causility model of EPR correlations has full Lorentz and CPT invariance. EPR correlations, proper or reversed, and Wheeler's smoky dragon metaphor are respectively pictured in spacetime or in the momentum-energy space, as V-shaped, A-shaped, or C-shaped ABC zigzags, with a summation at B over virtual states |B〉 〈B|. An exact “correspondence” exists between the Born-Jordan-Dirac “wavelike” algebra of transition amplitudes and the 1774 Laplace algebra of conditional probabilities, where the intermediate summations (...)
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  17.  69
    Orly R. Shenker (1999). Is - Ktr(Ln) the Entropy in Quantum Mechanics. British Journal for the Philosophy of Science 50 (1):33-48.
    In quantum mechanics, the expression for entropy is usually taken to be -kTr(ln), where is the density matrix. The convention first appears in Von Neumann's Mathematical Foundations of Quantum Mechanics. The argument given there to justify this convention is the only one hitherto offered. All the arguments in the field refer to it at one point or another. Here this argument is shown to be invalid. Moreover, it is shown that, if entropy is -kTr(ln), then perpetual motion (...)
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  18.  44
    S. Bergia, F. Cannata, A. Cornia & R. Livi (1980). On the Actual Measurability of the Density Matrix of a Decaying System by Means of Measurements on the Decay Products. Foundations of Physics 10 (9-10):723-730.
    The density matrix ρ describing a decaying system can be expressed in terms of correlations among observables belonging to the subsystems. Due to this structure and to the difficulties in measuring higher rank tensors of decay products for a single decay event, it is found that the mean value of ρ cannot be determined, in general, from measurements on the decay products. We also discuss the consequences of this conclusion as far as tests of quantum mechanics are concerned.
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  19. Michael Silberstein, W. M. Stuckey & Michael Cifone, An Argument for 4d Blockworld From a Geometric Interpretation of Non-Relativistic Quantum Mechanics.
    We use a new, distinctly “geometrical” interpretation of non-relativistic quantum mechanics (NRQM) to argue for the fundamentality of the 4D blockworld ontology. We argue for a geometrical interpretation whose fundamental ontology is one of spacetime relations as opposed to constructive entities whose time-dependent behavior is governed by dynamical laws. Our view rests on two formal results: Kaiser (1981 & 1990), Bohr & Ulfbeck (1995) and Anandan, (2003) showed independently that the Heisenberg commutation relations of NRQM follow from the relativity (...)
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  20.  12
    L. S. F. Olavo (2015). Foundations of Quantum Mechanics: On Rotations by 4pi for Half-Integral Spin Particles. Foundations of Physics 45 (11):1483-1494.
    Rotations in Quantum Mechanics are a very well-known subject. When one is faced with rotations related to the SO group, for instance, all the underlying operators are well-known and built from their classical counterparts. However, when it comes to represent rotations related to the SU group, it is always argued that there is no classical counterpart from which the expressions for the quantum mechanical operators can be built. The approach is always done using matrix representation. In the way (...)
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  21.  22
    H. S. Green (1978). Quantum Mechanics of Space and Time. Foundations of Physics 8 (7-8):573-591.
    A formulation of relativistic quantum mechanics is presented independent of the theory of Hilbert space and also independent of the hypothesis of spacetime manifold. A hierarchy is established in the nondistributive lattice of physical ensembles, and it is shown that the projections relating different members of the hierarchy form a semigroup. It is shown how to develop a statistical theory based on the definition of a statistical operator. Involutions defined on the matrix representations of the semigroup are interpreted (...)
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  22.  13
    James Ax (1976). Group-Theoretic Treatment of the Axioms of Quantum Mechanics. Foundations of Physics 6 (4):371-399.
    This axiomatization is based on the observation that ifG is the group of automorphisms of the states (induced, e.g., by suitable evolutions), then we can define a spherical function by mapping each element ofG to the matrix of its transition probabilities. Starting from five physically conservative axioms, we utilize the correspondence between spherical functions and representations to apply the structure theory for compact Lie groups and their orbits in representation spaces to arrive at the standard complex Hilbert space structure (...)
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  23.  6
    M. Cini, M. De Maria, G. Mattioli & F. Nicolò (1979). Wave Packet Reduction in Quantum Mechanics: A Model of a Measuring Apparatus. [REVIEW] Foundations of Physics 9 (7-8):479-500.
    We investigate the problem of “wave packet reduction” in quantum mechanics by solving the Schrödinger equation for a system composed of a model measuring apparatusM interacting with a microscopic objects. The “instrument” is intended to be somewhat more realistic than others previously proposed, but at the same time still simple enough to lead to an explicit solution for the time-dependent density matrix. It turns out that,practically, everything happens as if the wave packet reduction had occurred. This is a (...)
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  24.  9
    L. Diósi (1990). Landau's Density Matrix in Quantum Electrodynamics. Foundations of Physics 20 (1):63-70.
    This paper is devoted to Landau's concept of the problem of damping in quantum mechanics. It shows that Landau's density matrix formalism should survive in the context of modern quantum electrodynamics. The correct generalized master equation has been derived for the reduced dynamics of the charges. The recent relativistic theory of spontaneous emission becomes reproducible.
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  25. George Birtwistle (1928). The New Quantum Mechanics. Cambridge [Eng.]University Press.
    George Birtwistle (1877–1929) published The New Quantum Mechanics in 1928. His stated aim was to give a detailed account of work which had brought the relatively new subject of quantum mechanics to the fore in the previous few years. The earlier chapters give a restatement of Alfred Landé's theory of multiplets which reconciles it with the new mechanics which follow. Later chapters present the matrix theory of Heisenberg, the q-number theory of Dirac and the wave (...) of Schroedinger, and synthesise new theories, statistics and controversies in the work of de Broglie, Bose, Einstein, Fermi and Dirac. The book gives a complete overview of the state of quantum mechanics at the end of the second decade of the twentieth century, making it a valuable benchmark for historians of science and mathematicians alike. (shrink)
     
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  26.  56
    Bert Schroer (2010). Localization and the Interface Between Quantum Mechanics, Quantum Field Theory and Quantum Gravity I. Studies in History and Philosophy of Science Part B 41 (2):104-127.
    It is shown that there are significant conceptual differences between QM and QFT which make it difficult to view the latter as just a relativistic extension of the principles of QM. At the root of this is a fundamental distiction between Born-localization in QM (which in the relativistic context changes its name to Newton–Wigner localization) and modular localization which is the localization underlying QFT, after one separates it from its standard presentation in terms of field coordinates. The first comes with (...)
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  27.  68
    Diego L. Rapoport (2011). Surmounting the Cartesian Cut Through Philosophy, Physics, Logic, Cybernetics, and Geometry: Self-Reference, Torsion, the Klein Bottle, the Time Operator, Multivalued Logics and Quantum Mechanics. [REVIEW] Foundations of Physics 41 (1):33-76.
    In this transdisciplinary article which stems from philosophical considerations (that depart from phenomenology—after Merleau-Ponty, Heidegger and Rosen—and Hegelian dialectics), we develop a conception based on topological (the Moebius surface and the Klein bottle) and geometrical considerations (based on torsion and non-orientability of manifolds), and multivalued logics which we develop into a unified world conception that surmounts the Cartesian cut and Aristotelian logic. The role of torsion appears in a self-referential construction of space and time, which will be further related to (...)
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  28.  7
    Ashot S. Gevorkyan (2011). Nonrelativistic Quantum Mechanics with Fundamental Environment. Foundations of Physics 41 (3):509-515.
    Spontaneous transitions between bound states of an atomic system, “Lamb Shift” of energy levels and many other phenomena in real nonrelativistic quantum systems are connected within the influence of the quantum vacuum fluctuations (fundamental environment (FE)) which are impossible to consider in the limits of standard quantum-mechanical approaches. The joint system “quantum system (QS) + FE” is described in the framework of the stochastic differential equation (SDE) of Langevin-Schrödinger (L-Sch) type, and is defined on the extended space R 3 ⊗ (...)
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  29.  5
    Carlos M. Madrid Casado (2011). Sr. Realista estructural, tenemos un problema: la carga ontológica de las matemáticas. Principia 14 (2):201-209.
    The aim of this note is to undermine structural realism by testing the soundness of its main claim. If scientific theories represent the structure of the world, structural realism needs a general account of representation. Representation is the crux of structural realism, because structure/ontology distinction collapses. Mathematical structures are ontologyladen. DOI:10.5007/1808-1711.2010v14n2p201.
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  30.  6
    C. Wetterich (2012). Probabilistic Time. Foundations of Physics 42 (11):1384-1443.
    The concept of time emerges as an ordering structure in a classical statistical ensemble. Probability distributions p τ (t) at a given time t obtain by integrating out the past and future. We discuss all-time probability distributions that realize a unitary time evolution as described by rotations of the real wave function $q_{\tau}(t)=\pm \sqrt{p_{\tau}(t)}$ . We establish a map to quantum physics and the Schrödinger equation. Suitable classical observables are mapped to quantum operators. The non-commutativity of the operator product is (...)
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  31.  10
    Leslie E. Ballentine (2016). Propensity, Probability, and Quantum Theory. Foundations of Physics 46 (8):973-1005.
    Quantum mechanics and probability theory share one peculiarity. Both have well established mathematical formalisms, yet both are subject to controversy about the meaning and interpretation of their basic concepts. Since probability plays a fundamental role in QM, the conceptual problems of one theory can affect the other. We first classify the interpretations of probability into three major classes: inferential probability, ensemble probability, and propensity. Class is the basis of inductive logic; deals with the frequencies of events in repeatable experiments; (...)
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  32.  26
    L. P. Horwitz & Y. Strauss (1998). Description of Unstable Systems in Relativistic Quantum Mechanics in the Lax-Phillips Theory. Foundations of Physics 28 (10):1607-1616.
    We discuss some of the experimental motivation for the need for semigroup decay laws and the quantum Lax-Phillips theory of scattering and unstable systems. In this framework, the decay of an unstable system is described by a semigroup. The spectrum of the generator of the semigroup corresponds to the singularities of the Lax-Phillips S-matrix. In the case of discrete (complex) spectrum of the generator of the semigroup, associated with resonances, the decay law is exactly exponential. The states corresponding to (...)
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  33.  7
    Pierre Kerszberg, On Kant's Transcendental Account of Newtonian Mechanics.
    Kant's account of Newtonian science in terms of a priori structures of the mind has been generally interpreted as too restrictive. If Newtonian science is an instantiation of the system of categories, then, in order to retain any value, they need to be dynamized in accordance with the development of science beyond Newton. This paper suggests that the restriction in best understood as Kant attempt to provide a primary matrix of sense for any possible natural science, inasmuch as it (...)
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  34. Henry Stapp (2009). Schrödinger's Cat. In Daniel Greenberger, Klaus Hentschel & Friedel Weinert (eds.), Compendium of Quantum Physics. Springer 685-689.
    Erwin Schrödinger and Werner Heisenberg were the originators of two approaches, known respectively as “wave mechanics” and “matrix mechanics”, to what is now called “quantum mechanics” or “quantum theory”. The two approaches appear to be extremely different, both in their technical forms, and in their philosophical underpinnings. Heisenberg arrived at his theory by effectively renouncing the idea of trying to represent a physical system, such as a hydrogen Bohr's atom model for example, as a structure in (...)
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  35.  24
    Thomas Pashby (forthcoming). Time and Quantum Theory: A History and A Prospectus. Studies in the History and Philosophy of Modern Physics.
    In this paper I am concerned with analyzing in detail how ideas and expectations regarding the role of time in quantum theory arose and evolved in the early years of quantum mechanics (from 1925-27). The general theme is that expectations which seemed reasonable from the point of view of matrix mechanics and Dirac's q-number formalism became implausible in light of Dirac-Jordan transformation theory, and were dashed by von Neumann's Hilbert space formalism which came to replace it. Nonetheless, (...)
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  36.  36
    Anthony Duncan & Michel Janssen, On the Verge of Umdeutung in Minnesota: Van Vleck and the Correspondence Principle.
    In October 1924, The Physical Review, a relatively minor journal at the time, published a remarkable two-part paper by John H. Van Vleck, working in virtual isolation at the University of Minnesota. Van Vleck used Bohr's correspondence principle and Einstein's quantum theory of radiation to find quantum formulae for the emission, absorption, and dispersion of radiation. The paper is similar but in many ways superior to the well-known paper by Kramers and Heisenberg published the following year that is widely credited (...)
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  37.  12
    Linda Wessels (1980). What Was Born's Statistical Interpretation? PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1980:187-200.
    The statistical interpretation introduced by Born in mid-1926 is not the interpretation now associated with his name. Born's own understanding of that interpretation is revealed by looking at some of its roots in Born's earlier work with Franck on collisions, his collaboration with Jordan on that topic, his contributions to matrix mechanics, his attempt in collaboration with Wiener at an operator formulation of quantum mechanics, and at the exposition of the interpretation in Born's first papers on a (...)
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  38.  84
    Eamonn Healy (2011). Heisenberg's Chemical Legacy: Resonance and the Chemical Bond. [REVIEW] Foundations of Chemistry 13 (1):39-49.
    Heisenberg’s explanation of how two coupled oscillators exchange energy represented a dramatic success for his new matrix mechanics. As matrix mechanics transmuted into wave mechanics, resulting in what Heisenberg himself described as …an extraordinary broadening and enrichment of the formalism of the quantum theory , the term resonance also experienced a corresponding evolution. Heitler and London’s seminal application of wave mechanics to explain the quantum origins of the covalent bond, combined with Pauling’s characterization of (...)
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  39.  52
    Alisa Bokulich, Three Puzzles About Bohr's Correspondence Principle.
    Niels Bohr’s “correspondence principle” is typically believed to be the requirement that in the limit of large quantum numbers (n→∞) there is a statistical agreement between the quantum and classical frequencies. A closer reading of Bohr’s writings on the correspondence principle, however, reveals that this interpretation is mistaken. Specifically, Bohr makes the following three puzzling claims: First, he claims that the correspondence principle applies to small quantum numbers as well as large (while the statistical agreement of frequencies is only for (...)
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  40.  10
    Maurice A. De Gosson (2014). Born–Jordan Quantization and the Equivalence of the Schrödinger and Heisenberg Pictures. Foundations of Physics 44 (10):1096-1106.
    The aim of the famous Born and Jordan 1925 paper was to put Heisenberg’s matrix mechanics on a firm mathematical basis. Born and Jordan showed that if one wants to ensure energy conservation in Heisenberg’s theory it is necessary and sufficient to quantize observables following a certain ordering rule. One apparently unnoticed consequence of this fact is that Schrödinger’s wave mechanics cannot be equivalent to Heisenberg’s more physically motivated matrix mechanics unless its observables are quantized (...)
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  41.  5
    Domenico Giulini, On Max Born's "Vorlesungen Ueber Atommechanik, Erster Band".
    A little more than half a year before Matrix Mechanics was born, Max Born finished his book "Vorlesungen ueber Atommechanik, Erster Band", which is a state-of-the-art presentation of Bohr-Sommerfeld quantisation. This book, which today seems almost forgotten, is remarkable for its epistemological as well as technical aspects. Here I wish to highlight one aspect in each of these two categories, the first being concerned with the role of axiomatisation in the heuristics of physics, the second with the problem (...)
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  42.  14
    Thomas Bonk (1994). Bemerkungen Zur Interpretation, Bestätigung Und Progressivität der Frühen Matrizenmechanik. Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 25 (1):1 - 15.
    Remarks on Interpretation, Confirmation and Progressiveness of Early Matrix Mechanics. Our note discusses a case study in view of questions of theory-choice. We examine the extent to which the first 'complete, consistent exposition' of matrix mechanics in 1925 can be claimed to be reasonably confirmed, well interpreted and fruitful. Various strategies, by means of deductions and otherwise, by Born, Jordan and Heisenberg to establish these claims are critically assessed. It is shown that the outcome of the (...)
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  43.  52
    Valia Allori (forthcoming). How to Make Sense of Quantum Mechanics : Fundamental Physical Theories and Primitive Ontology. In Ulf Edvinsson (ed.), The Mammoth Book of Quantum Mechanics Interpretations. Open Academic Press
    Quantum mechanics has always been regarded as, at best, puzzling, if not contradictory. The aim of the paper is to explore a particular approach to fundamental physical theories, the one based on the notion of primitive ontology. This approach, when applied to quantum mechanics, makes it a paradox-free theory.
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  44.  68
    Edward MacKinnon (2016). Why Interpret Quantum Mechanics. Open Journal of Philosophy 6:86-102.
    This article probes the question of what interpretations of quantum mechanics actually accomplish. In other domains, which are briefly considered, interpretations serve to make alien systematizations intelligible to us. This often involves clarifying the status of their implicit ontology. A survey of interpretations of non-relativistic quantum mechanics supports the evaluation that these interpretations make a contribution to philosophy, but not to physics. Interpretations of quantum field theory are polarized by the divergence between the Lagrangian field theory that led (...)
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  45. Mauro Dorato & Matteo Morganti (2013). Grades of Individuality. A Pluralistic View of Identity in Quantum Mechanics and in the Sciences. Philosophical Studies 163 (3):591-610.
    This paper offers a critical assessment of the current state of the debate about the identity and individuality of material objects. Its main aim, in particular, is to show that, in a sense to be carefully specified, the opposition between the Leibnizian ‘reductionist’ tradition, based on discernibility, and the sort of ‘primitivism’ that denies that facts of identity and individuality must be analysable has become outdated. In particular, it is argued that—contrary to a widespread consensus—‘naturalised’ metaphysics supports both the acceptability (...)
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    Charles T. Sebens & Sean M. Carroll (forthcoming). Self-Locating Uncertainty and the Origin of Probability in Everettian Quantum Mechanics. British Journal for the Philosophy of Science:axw004.
    A longstanding issue in attempts to understand the Everett (Many-Worlds) approach to quantum mechanics is the origin of the Born rule: why is the probability given by the square of the amplitude? Following Vaidman, we note that observers are in a position of self-locating uncertainty during the period between the branches of the wave function splitting via decoherence and the observer registering the outcome of the measurement. In this period it is tempting to regard each branch as equiprobable, but (...)
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  47. Valia Allori, Sheldon Goldstein, Roderich Tumulka & Nino Zanghi (2008). On the Common Structure of Bohmian Mechanics and the Ghirardi-Rimini-Weber Theory. British Journal for the Philosophy of Science 59 (3):353 - 389.
    Bohmian mechanics and the Ghirardi-Rimini-Weber theory provide opposite resolutions of the quantum measurement problem: the former postulates additional variables (the particle positions) besides the wave function, whereas the latter implements spontaneous collapses of the wave function by a nonlinear and stochastic modification of Schrödinger's equation. Still, both theories, when understood appropriately, share the following structure: They are ultimately not about wave functions but about 'matter' moving in space, represented by either particle trajectories, fields on space-time, or a discrete set (...)
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    Lawrence Sklar (1993). Physics and Chance: Philosophical Issues in the Foundations of Statistical Mechanics. Cambridge University Press.
    Statistical mechanics is one of the crucial fundamental theories of physics, and in his new book Lawrence Sklar, one of the pre-eminent philosophers of physics, offers a comprehensive, non-technical introduction to that theory and to attempts to understand its foundational elements. Among the topics treated in detail are: probability and statistical explanation, the basic issues in both equilibrium and non-equilibrium statistical mechanics, the role of cosmology, the reduction of thermodynamics to statistical mechanics, and the alleged foundation of (...)
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  49.  58
    Thomas William Barrett (2015). On the Structure of Classical Mechanics. British Journal for the Philosophy of Science 66 (4):801-828.
    The standard view is that the Lagrangian and Hamiltonian formulations of classical mechanics are theoretically equivalent. Jill North, however, argues that they are not. In particular, she argues that the state-space of Hamiltonian mechanics has less structure than the state-space of Lagrangian mechanics. I will isolate two arguments that North puts forward for this conclusion and argue that neither yet succeeds. 1 Introduction2 Hamiltonian State-space Has less Structure than Lagrangian State-space2.1 Lagrangian state-space is metrical2.2 Hamiltonian state-space is (...)
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  50. J. S. Bell (2004). Speakable and Unspeakable in Quantum Mechanics: Collected Papers on Quantum Philosophy. Cambridge University Press.
    This book comprises all of John Bell's published and unpublished papers in the field of quantum mechanics, including two papers that appeared after the first edition was published. It also contains a preface written for the first edition, and an introduction by Alain Aspect that puts into context Bell's great contribution to the quantum philosophy debate. One of the leading expositors and interpreters of modern quantum theory, John Bell played a major role in the development of our current understanding (...)
     
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