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

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  1. 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.score: 90.0
    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. 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.score: 90.0
    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.score: 60.0
    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. Authur A. Frost (1975). Matrix Formulation of Special Relativity in Classical Mechanics and Electromagnetic Theory. Foundations of Physics 5 (4):619-641.score: 48.0
    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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  5. 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.score: 45.0
    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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  6. Gabriele Brandstettter (2005). The Code of Terpsichore the Dance Theory of Carlo Blasis: Mechanics as the Matrix of Grace. Topoi 24 (1):67-79.score: 39.0
    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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  7. 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.score: 36.0
    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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  8. 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.score: 33.0
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  9. 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.score: 27.0
    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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  10. 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..score: 27.0
    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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  11. C. Wetterich (2012). Probabilistic Time. Foundations of Physics 42 (11):1384-1443.score: 24.0
    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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  12. Carlos M. Madrid Casado (2011). Sr. Realista estructural, tenemos un problema: la carga ontológica de las matemáticas. Principia 14 (2):201-209.score: 24.0
    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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  13. Michael Silberstein, W. M. Stuckey & Michael Cifone, An Argument for 4d Blockworld From a Geometric Interpretation of Non-Relativistic Quantum Mechanics.score: 21.0
    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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  14. D. Bohm & B. J. Hiley (1996). Statistical Mechanics and the Ontological Interpretation. Foundations of Physics 26 (6):823-846.score: 21.0
    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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  15. 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.score: 21.0
    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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  16. James Ax (1976). Group-Theoretic Treatment of the Axioms of Quantum Mechanics. Foundations of Physics 6 (4):371-399.score: 21.0
    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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  17. OR Shenker (1999). Is - Ktr(Ln) the Entropy in Quantum Mechanics. British Journal for the Philosophy of Science 50 (1):33-48.score: 21.0
    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. 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.score: 21.0
    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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  19. H. S. Green (1978). Quantum Mechanics of Space and Time. Foundations of Physics 8 (7-8):573-591.score: 21.0
    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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  20. O. J. E. Maroney (2005). The Density Matrix in the de Broglie--Bohm Approach. Foundations of Physics 35 (3):493-510.score: 21.0
    If the density matrix is treated as an objective description of individual systems, it may become possible to attribute the same objective significance to statistical mechanical properties, such as entropy or temperature, as to properties such as mass or energy. It is shown that the de Broglie--Bohm interpretation of quantum theory can be consistently applied to density matrices as a description of individual systems. The resultant trajectories are examined for the case of the delayed choice interferometer, for which Bell (...)
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  21. 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.score: 21.0
    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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  22. L. Diósi (1990). Landau's Density Matrix in Quantum Electrodynamics. Foundations of Physics 20 (1):63-70.score: 21.0
    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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  23. Ashot S. Gevorkyan (2011). Nonrelativistic Quantum Mechanics with Fundamental Environment. Foundations of Physics 41 (3):509-515.score: 21.0
    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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  24. Christopher Grau (2005). Bad Dreams, Evil Demons, and the Experience Machine: Philosophy and The Matrix. In , Philosophers Explore The Matrix. Oxford University Press.score: 18.0
  25. 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.score: 18.0
    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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  26. Alex Byrne & N. Hall (1999). Chalmers on Consciousness and Quantum Mechanics. Philosophy of Science 66 (3):370-90.score: 18.0
    The textbook presentation of quantum mechanics, in a nutshell, is this. The physical state of any isolated system evolves deterministically in accordance with Schrödinger's equation until a "measurement" of some physical magnitude M (e.g. position, energy, spin) is made. Restricting attention to the case where the values of M are discrete, the system's pre-measurement state-vector f is a linear combination, or "superposition", of vectors f1, f2,... that individually represent states that..
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  27. Gerhard Ernst & Andreas Hüttemann (eds.) (2010). Time, Chance and Reduction: Philosophical Aspects of Statistical Mechanics. Cambridge University Press.score: 18.0
    Statistical mechanics attempts to explain the behaviour of macroscopic physical systems in terms of the mechanical properties of their constituents. Although it is one of the fundamental theories of physics, it has received little attention from philosophers of science. Nevertheless, it raises philosophical questions of fundamental importance on the nature of time, chance and reduction. Most philosophical issues in this domain relate to the question of the reduction of thermodynamics to statistical mechanics. This book addresses issues inherent in (...)
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  28. Alastair Wilson (2012). Objective Probability in Everettian Quantum Mechanics. British Journal for the Philosophy of Science 64 (4):axs022.score: 18.0
    David Wallace has given a decision-theoretic argument for the Born Rule in the context of Everettian quantum mechanics (EQM). This approach promises to resolve some long-standing problems with probability in EQM, but it has faced plenty of resistance. One kind of objection (the ‘incoherence problem’) charges that the requisite notion of decision-theoretic uncertainty is unavailable in the Everettian picture, so that the argument cannot gain any traction; another kind of objection grants the proof’s applicability and targets the premises. In (...)
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  29. Henry P. Stapp (1993). Mind, Matter, and Quantum Mechanics. Springer-Verlag.score: 18.0
    In this book, which contains several of his key papers as well as new material, he focuses on the problem of consciousness and explains how quantum mechanics...
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  30. Nicholas Maxwell (1976). Towards a Micro Realistic Version of Quantum Mechanics, Part I. Foundations of Physics 6 (3):275-292.score: 18.0
    This paper investigates the possibiity of developing a fully micro realistic version of elementary quantum mechanics. I argue that it is highly desirable to develop such a version of quantum mechanics, and that the failure of all current versions and interpretations of quantum mechanics to constitute micro realistic theories is at the root of many of the interpretative problems associated with quantum mechanics, in particular the problem of measurement. I put forward a propensity micro realistic version (...)
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  31. Elias Okon & Craig Callender (2011). Does Quantum Mechanics Clash with the Equivalence Principle—and Does It Matter? European Journal for Philosophy of Science 1 (1):133-145.score: 18.0
    Does quantum mechanics clash with the equivalence principle—and does it matter? Content Type Journal Article Pages 133-145 DOI 10.1007/s13194-010-0009-z Authors Elias Okon, Philosophy Department, UC San Diego, 9500 Gilman Dr., La Jolla CA, 92093, USA Craig Callender, Philosophy Department, UC San Diego, 9500 Gilman Dr., La Jolla CA, 92093, USA Journal European Journal for Philosophy of Science Online ISSN 1879-4920 Print ISSN 1879-4912 Journal Volume Volume 1 Journal Issue Volume 1, Number 1.
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  32. Valia Allori & Nino Zanghi (2008). On the Classical Limit of Quantum Mechanics. Foundations of Physics 10.1007/S10701-008-9259-4 39 (1):20-32.score: 18.0
    Contrary to the widespread belief, the problem of the emergence of classical mechanics from quantum mechanics is still open. In spite of many results on the ¯h → 0 asymptotics, it is not yet clear how to explain within standard quantum mechanics the classical motion of macroscopic bodies. In this paper we shall analyze special cases of classical behavior in the framework of a precise formulation of quantum mechanics, Bohmian mechanics, which contains in its own (...)
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  33. Jeffrey Barrett (2011). Everett's Pure Wave Mechanics and the Notion of Worlds. European Journal for Philosophy of Science 1 (2):277-302.score: 18.0
    Everett (1957a, b, 1973) relative-state formulation of quantum mechanics has often been taken to involve a metaphysical commitment to the existence of many splitting worlds each containing physical copies of observers and the objects they observe. While there was earlier talk of splitting worlds in connection with Everett, this is largely due to DeWitt’s (Phys Today 23:30–35, 1970) popular presentation of the theory. While the thought of splitting worlds or parallel universes has captured the popular imagination, Everett himself favored (...)
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  34. Nicholas Maxwell (1976). Towards a Micro Realistic Version of Quantum Mechanics, Part II. Foundations of Physics 6 (6):661-676.score: 18.0
    In this paper, possible objections to the propensity microrealistic version of quantum mechanics proposed in Part I are answered. This version of quantum mechanics is compared with the statistical, particle microrealistic viewpoint, and a crucial experiment is proposed designed to distinguish between these to microrealistic versions of quantum mechanics.
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  35. Sheldon Goldstein (2010). Bohmian Mechanics and Quantum Information. Foundations of Physics 40 (4):335-355.score: 18.0
    Many recent results suggest that quantum theory is about information, and that quantum theory is best understood as arising from principles concerning information and information processing. At the same time, by far the simplest version of quantum mechanics, Bohmian mechanics, is concerned, not with information but with the behavior of an objective microscopic reality given by particles and their positions. What I would like to do here is to examine whether, and to what extent, the importance of information, (...)
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  36. Valia Allori (2013). On the Metaphysics of Quantum Mechanics. In Soazig Lebihan (ed.), Precis de la Philosophie de la Physique. Vuibert.score: 18.0
    What is quantum mechanics about? The most natural way to interpret quantum mechanics realistically as a theory about the world might seem to be what is called wave function ontology: the view according to which the wave function mathematically represents in a complete way fundamentally all there is in the world. Erwin Schroedinger was one of the first proponents of such a view, but he dismissed it after he realized it led to macroscopic superpositions (if the wave function (...)
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  37. Matthew J. Brown (2009). Relational Quantum Mechanics and the Determinacy Problem. British Journal for the Philosophy of Science 60 (4):679-695.score: 18.0
    Carlo Rovelli's relational interpretation of quantum mechanics holds that a system's states or the values of its physical quantities as normally conceived only exist relative to a cut between a system and an observer or measuring instrument. Furthermore, on Rovelli's account, the appearance of determinate observations from pure quantum superpositions happens only relative to the interaction of the system and observer. Jeffrey Barrett ([1999]) has pointed out that certain relational interpretations suffer from what we might call the ‘determinacy problem', (...)
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  38. Peter Bokulich (2005). Niels Bohr's Generalization of Classical Mechanics. Foundations of Physics 35 (3):347-371.score: 18.0
    We clarify Bohr’s interpretation of quantum mechanics by demonstrating the central role played by his thesis that quantum theory is a rational generalization of classical mechanics. This thesis is essential for an adequate understanding of his insistence on the indispensability of classical concepts, his account of how the quantum formalism gets its meaning, and his belief that hidden variable interpretations are impossible.
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  39. Dennis Dieks (2009). Objectivity in Perspective: Relationism in the Interpretation of Quantum Mechanics. [REVIEW] Foundations of Physics 39 (7):760-775.score: 18.0
    Pekka Lahti is a prominent exponent of the renaissance of foundational studies in quantum mechanics that has taken place during the last few decades. Among other things, he and coworkers have drawn renewed attention to, and have analyzed with fresh mathematical rigor, the threat of inconsistency at the basis of quantum theory: ordinary measurement interactions, described within the mathematical formalism by Schrödinger-type equations of motion, seem to be unable to lead to the occurrence of definite measurement outcomes, whereas the (...)
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  40. Maarten Van Dyck (2003). The Roles of One Thought Experiment in Interpreting Quantum Mechanics. Werner Heisenberg Meets Thomas Kuhn. Philosophica 72 (3):79-103.score: 18.0
    Recent years saw the rise of an interest in the roles and significance of thought experiments in different areas of human thinking. Heisenberg's gamma ray microscope is no doubt one of the most famous examples of a thought experiment in physics. Nevertheless, this particular thought experiment has not received much detailed attention in the philosophical literature on thought experiments up to date, maybe because of its often claimed inadequacies. In this paper, I try to do two things: to provide an (...)
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  41. Wayne C. Myrvold (forthcoming). Probabilities in Statistical Mechanics. In Christopher Hitchcock & Alan Hájek (eds.), The Oxford Handbook of Probability and Philosophy. Oxford University Press.score: 18.0
    This chapter will review selected aspects of the terrain of discussions about probabilities in statistical mechanics (with no pretensions to exhaustiveness, though the major issues will be touched upon), and will argue for a number of claims. None of the claims to be defended is entirely original, but all deserve emphasis. The first, and least controversial, is that probabilistic notions are needed to make sense of statistical mechanics. The reason for this is the same reason that convinced Maxwell, (...)
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  42. C. Lehner (1997). What It Feels Like to Be in a Superposition, and Why: Consciousness and the Interpretation of Everett's Quantum Mechanics. Synthese 110 (2):191-216.score: 18.0
    This paper attempts an interpretation of Everett's relative state formulation of quantum mechanics that avoids the commitment to new metaphysical entities like ‘worlds’ or ‘minds’. Starting from Everett's quantum mechanical model of an observer, it is argued that an observer's belief to be in an eigenstate of the measurement (corresponding to the observation of a well-defined measurement outcome) is consistent with the fact that she objectively is in a superposition of such states. Subjective states corresponding to such beliefs are (...)
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  43. Slobodan Perovic (2006). Schrödinger's Interpretation of Quantum Mechanics and the Relevance of Bohr's Experimental Critique. Studies in History and Philosophy of Science Part B 37 (2):275-297.score: 18.0
    E. Schrödinger's ideas on interpreting quantum mechanics have been recently re-examined by historians and revived by philosophers of quantum mechanics. Such recent re-evaluations have focused on Schrödinger's retention of space–time continuity and his relinquishment of the corpuscularian understanding of microphysical systems. Several of these historical re-examinations claim that Schrödinger refrained from pursuing his 1926 wave-mechanical interpretation of quantum mechanics under pressure from the Copenhagen and Göttingen physicists, who misinterpreted his ideas in their dogmatic pursuit of the complementarity (...)
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  44. Tomasz Bigaj (2007). Counterfactuals and Non-Locality of Quantum Mechanics: The Bedford–Stapp Version of the GHZ Theorem. [REVIEW] Foundations of Science 12 (1):85-108.score: 18.0
    In the paper, the proof of the non-locality of quantum mechanics, given by Bedford and Stapp (1995), and appealing to the GHZ example, is analyzed. The proof does not contain any explicit assumption of realism, but instead it uses formal methods and techniques of the Lewis calculus of counterfactuals. To ascertain the validity of the proof, a formal semantic model for counterfactuals is constructed. With the help of this model it can be shown that the proof is faulty, because (...)
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  45. Fernando Birman (2009). Quantum Mechanics and the Plight of Physicalism. Journal for General Philosophy of Science 40 (2):207-225.score: 18.0
    The literature on physicalism often fails to elucidate, I think, what the word physical in physical ism precisely means. Philosophers speak at times of an ideal set of fundamental physical facts, or they stipulate that physical means non-mental , such that all fundamental physical facts are fundamental facts pertaining to the non-mental. In this article, I will probe physicalism in the very much tangible framework of quantum mechanics. Although this theory, unlike “ideal physics” or some “final theory of non-mentality”, (...)
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  46. 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.score: 18.0
    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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  47. Sheldon R. Smith (2010). Elementary Classical Mechanics and the Principle of the Composition of Causes. Synthese 173 (3):353 - 373.score: 18.0
    In this paper, I explore whether elementary classical mechanics adheres to the Principle of Composition of Causes as Mill claimed and as certain contemporary authors still seem to believe. Among other things, I provide a proof that if one reads Mill’s description of the principle literally (as I think many do), it does not hold in any general sense. In addition, I explore a separate notion of Composition of Causes and note that it too does not hold in elementary (...)
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  48. M. Abraham, Dov M. Gabbay & U. Schild (2009). Analysis of the Talmudic Argumentum a Fortiori Inference Rule (Kal Vachomer) Using Matrix Abduction. Studia Logica 92 (3):281 - 364.score: 18.0
    We motivate and introduce a new method of abduction, Matrix Abduction, and apply it to modelling the use of non-deductive inferences in the Talmud such as Analogy and the rule of Argumentum A Fortiori. Given a matrix with entries in {0, 1}, we allow for one or more blank squares in the matrix, say a i , j =?. The method allows us to decide whether to declare a i , j = 0 or a i , (...)
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  49. Karsten Jensen, Ellen-Marie Forsberg, Christian Gamborg, Kate Millar & Peter Sandøe (2011). Facilitating Ethical Reflection Among Scientists Using the Ethical Matrix. Science and Engineering Ethics 17 (3):425-445.score: 18.0
    Several studies have indicated that scientists are likely to have an outlook on both facts and values that are different to that of lay people in important ways. This is one significant reason it is currently believed that in order for scientists to exercise a reliable ethical reflection about their research it is necessary for them to engage in dialogue with other stakeholders. This paper reports on an exercise to encourage a group of scientists to reflect on ethical issues without (...)
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  50. Valia Allori & Nino Zanghi (2004). What is Bohmian Mechanics. International Journal of Theoretical Physics 43:1743-1755.score: 18.0
    Bohmian mechanics is a quantum theory with a clear ontology. To make clear what we mean by this, we shall proceed by recalling first what are the problems of quantum mechanics. We shall then briefly sketch the basics of Bohmian mechanics and indicate how Bohmian mechanics solves these problems and clarifies the status and the role of of the quantum formalism.
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