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

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  1. Jeffrey Barrett (2011). Everett's Pure Wave Mechanics and the Notion of Worlds. European Journal for Philosophy of Science 1 (2):277-302.score: 240.0
    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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  2. 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: 240.0
    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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  3. 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: 240.0
    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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  4. Andrei P. Kirilyuk (1997). Universal Concept of Complexity by the Dynamic Redundance Paradigm: Causal Randomness, Complete Wave Mechanics, and the Ultimate Unification of Knowledge. Nauk. Dumka.score: 210.0
    Extended Abstract This book introduces and develops a new, universal method of the scientific comprehension of reality providing the objective, ...
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  5. Louis de Broglie (1930). An Introduction to the Study of Wave Mechanics. London, Methuen & Co. Ltd..score: 210.0
    Now, this is precisely the experimental law of the photo-electric effect in the form which has been verified in succession for all the radiations from the ultra ...
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  6. Jeffrey A. Barrett (2011). On the Faithful Interpretation of Pure Wave Mechanics. British Journal for the Philosophy of Science 62 (4):693-709.score: 180.0
    Given Hugh Everett III's understanding of the proper cognitive status of physical theories, his relative-state formulation of pure wave mechanics arguably qualifies as an empirically acceptable physical theory. The argument turns on the precise nature of the relationship that Everett requires between the empirical substructure of an empirically faithful physical theory and experience. On this view, Everett provides a weak resolution to both the determinate record and the probability problems encountered by pure wave mechanics, and does (...)
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  7. Hans-Jürgen Treder & Wilfried Schröder (1997). Magnetohydrodynamics Corresponding with Wave Mechanics. Foundations of Physics 27 (6):875-879.score: 180.0
    The gauge-invariant relativistic wave mechanics corresponds to relativistic magneto-hydrodynamics according to Planck's version of the correspondence principle.
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  8. Georges Lochak (1982). The Evolution of the Ideas of Louis de Broglie on the Interpretation of Wave Mechanics. Foundations of Physics 12 (10):931-953.score: 180.0
    This paper is devoted to an analysis of the intellectual itinerary of Louis de Broglie, from the discovery of wave mechanics, until today. Essential attention is paid to the fact that this itinerary is far from being linear, since after a first attempt to develop his own views on wave mechanics through the theory of singular waves, Louis de Broglie abandoned it for twenty five years, under the influence of the Copenhagen School (even embracing the conceptions (...)
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  9. Dan Censor (1980). Nonlinear Wave Mechanics and Particulate Self-Focusing. Foundations of Physics 10 (7-8):555-566.score: 180.0
    A previous model for treating electromagnetic nonlinear wave systems is examined in the context of wave mechanics. It is shown that nonlinear wave mechanics implies harmonic generation of new quasiparticle wave functions, which are absent in linear systems. The phenomenon is interpreted in terms of pair (and higher order ensembles) coherence of the interacting particles. The implications are far-reaching, and the present approach might contribute toward a common basis for diverse physical phenomena involving nonlinearity. (...)
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  10. Jagdish Mehra (1988). Erwin Schrödinger and the Rise of Wave Mechanics. III. Early Response and Applications. Foundations of Physics 18 (2):107-184.score: 180.0
    This article (Part III) deals with the early applications of wave mechanics to atomic problems—including the demonstration of the formal mathematical equivalence of wave mechanics with the quantum mechanics of Born, Heisenberg, and Jordan, and that of Dirac—by Schrödinger himself and others. The new theory was immediately accepted by the scientific community.
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  11. Louis de Broglie (1970). The Reinterpretation of Wave Mechanics. Foundations of Physics 1 (1):5-15.score: 180.0
    The author begins by recalling how he was led in 1923–24 to the ideas of wave mechanics in generalizing the ideas of Einstein's theory of light quanta. He made himself at that time a concrete physical picture of the coexistence of waves and particles and, in 1927, attempted to give them precise form in his “theory of the double solution.” As other ideas prevailed at the time, he abandoned the development of his conception. But for the past twenty (...)
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  12. Jagdish Mehra (1987). Erwin Schrödinger and the Rise of Wave Mechanics. I. Schrödinger's Scientific Work Before the Creation of Wave Mechanics. Foundations of Physics 17 (11):1051-1112.score: 180.0
    This article is in three parts. Part I gives an account of Erwin Schrödinger's growing up and studies in Vienna, his scientific work—first in Vienna from 1911 to 1920, then in Zurich from 1920 to 1925—on the dielectric properties of matter, atmospheric electricity and radioactivity, general relativity, color theory and physiological optics, and on kinetic theory and statistical mechanics. Part II deals with the creation of the theory of wave mechanics by Schrödinger in Zurich during the early (...)
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  13. Jagdish Mehra (1987). Erwin Schrödinger and the Rise of Wave Mechanics. II. The Creation of Wave Mechanics. Foundations of Physics 17 (12):1141-1188.score: 180.0
    This article (Part II) deals with the creation of the theory of wave mechanics by Erwin Schrödinger in Zurich during the early months of 1926; he laid the foundations of this theory in his first two communications toAnnalen der Physik. The background of Schrödinger's work on, and his actual creation of, wave mechanics are analyzed.
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  14. Nathan Rosen (1984). A Semiclassical Interpretation of Wave Mechanics. Foundations of Physics 14 (7):579-605.score: 174.0
    The single-particle wave function ψ=ReiS/h has been interpreted classically: At a given point the particle momentum is ▽S, and the relative particle density in an ensemble is R 2 . It is first proposed to modify this interpretation by assuming that physical variables undergo rapid fluctuations, so that ▽S is the average of the momentum over a short time interval. However, it appears that this is not enough. It seems necessary to assume that the density also fluctuates. The fluctuations (...)
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  15. Lev Vaidman (2005). The Reality in Bohmian Quantum Mechanics or Can You Kill with an Empty Wave Bullet? Foundations of Physics 35 (2):299-312.score: 168.0
    Several situations, in which an empty wave causes an observable effect, are reviewed. They include an experiment showing ‘‘surrealistic trajectories’’ proposed by Englert et al. and protective measurement of the density of the quantum state. Conditions for observable effects due to empty waves are derived. The possibility (in spite of the existence of these examples) of minimalistic interpretation of Bohmian quantum mechanics in which only Bohmian positions supervene on our experience is discussed.
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  16. L. Jánossy (1978). Wave Mechanics and the Tunnel Effect. Foundations of Physics 8 (1-2):119-122.score: 164.0
    It is shown that the nonconservation of energy to the extent given by the uncertainty relation can be interpreted also as the storing of inner energyQ by a wave mechanical system. The latter formalism is, apart from its terminology, identical with the accepted one.
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  17. L. Jánossy (1973). The Physical Interpretation of Wave Mechanics. I. Foundations of Physics 3 (2):185-202.score: 156.0
    Summarizing and extending the ideas of many authors and also of our own work, we try to show that the wave equation of the one-body problem can be transformed into a system of equations describing the motion of a deformable medium carrying charge and having permanent magnetic polarization. The wave equation and the system of transformed equations are connected by a strict one-to-one correspondence. The transformation which is not uniquely determined from a mathematical point of view can be (...)
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  18. Hans-Jürgen Treder & Horst-Heino von Borzeszkowski (1988). Interference and Interaction in Schrödinger's Wave Mechanics. Foundations of Physics 18 (1):77-93.score: 156.0
    Reminiscing on the fact that E. Schrödinger was rooted in the same physical tradition as M. Planck and A. Einstein, some aspects of his attitude to quantum mechanics are discussed. In particular, it is demonstrated that the quantum-mechanical paradoxes assumed by Einstein and Schrödinger should not exist, but that otherwise the epistemological problem of physical reality raised in this context by Einstein and Schrödinger is fundamental for our understanding of quantum theory. The nonexistence of such paradoxes just shows that (...)
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  19. L. Jánossy (1976). Wave Mechanics and Physical Reality. III. The Many-Body Problem. Foundations of Physics 6 (3):341-350.score: 156.0
    It is shown that the wave equation of anN-body problem can be transformed into a system of “hydrodynamical equations” in a3N-dimensional space. The projections of the hydrodynamical variables in three-dimensional space do not obey strict equations of motion. This is shown to be connected with the fact that the mathematically possible solutions of the wave equations are much more numerous than the states of the system that are usually realized in nature. It is pointed out that the many-body (...)
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  20. L. Jánossy (1974). The Physical Interpretation of Wave Mechanics. II. Foundations of Physics 4 (4):445-452.score: 152.0
    Continuing the considerations given in the first part of this series (I), we use the analysis of the Aharonov-Bohm effect to show that the hydrodynamical variables by which the quantum mechanical one-body problem can be represented are of direct physical significance. It is shown in a particular case that the final state of a system can be obtained from its initial state in a unique manner if both states are characterized by hydrodynamical variables.
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  21. Alwyn van der Merwe (1982). Editorial Postscript to “the Evolution of the Ideas of Louis de Broglie on the Interpretation of Wave Mechanics”. Foundations of Physics 12 (10):955-962.score: 150.0
  22. Wilfried Kuhn (1988). Analysis of the Development of Wave Mechanics: Aspects From the History of Physics and the Philosophy of Science. [REVIEW] Foundations of Physics 18 (3):379-399.score: 150.0
  23. Christian Joas & Christoph Lehner (2009). The Classical Roots of Wave Mechanics: Schrödinger's Transformations of the Optical-Mechanical Analogy. Studies in History and Philosophy of Science Part B 40 (4):338-351.score: 150.0
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  24. Linda Wessels (1979). Schrödinger's Route to Wave Mechanics. Studies in History and Philosophy of Science Part A 10 (4):311-340.score: 150.0
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  25. Georges Lochak (1987). Convergence and Divergence Between the Ideas of de Broglie and Schrödinger in Wave Mechanics. Foundations of Physics 17 (12):1189-1203.score: 150.0
  26. Oliver L. Reiser (1928). Light, Wave-Mechanics, and Consciousness. Journal of Philosophy 25 (12):309-317.score: 150.0
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  27. Ph Gueret & J. -P. Vigier (1982). De Broglie's Wave Particle Duality in the Stochastic Interpretation of Quantum Mechanics: A Testable Physical Assumption. [REVIEW] Foundations of Physics 12 (11):1057-1083.score: 150.0
    If one starts from de Broglie's basic relativistic assumptions, i.e., that all particles have an intrinsic real internal vibration in their rest frame, i.e., hv 0 =m 0 c 2 ; that when they are at any one point in space-time the phase of this vibration cannot depend on the choice of the reference frame, then, one can show (following Mackinnon (1) ) that there exists a nondispersive wave packet of de Broglie's waves which can be assimilated to the (...)
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  28. Dorothy Wrinch (1928). Aspects of Scientific Method: With Special Reference to Schrödinger's Wave Mechanics. Proceedings of the Aristotelian Society 29:95 - 122.score: 150.0
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  29. E. Schrödinger (2009). Wave Mechanics. In Guido Bacciagaluppi (ed.), Quantum Theory at the Crossroads: Reconsidering the 1927 Solvay Conference. Cambridge University Press.score: 150.0
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  30. Willem M. Muynck & Gidi P. Liempd (1986). On the Relation Between Indistinguishability of Identical Particles and (Anti)Symmetry of the Wave Function in Quantum Mechanics. Synthese 67 (3):477 - 496.score: 144.0
    Two different concepts of distinguishability are often mixed up in attempts to derive in quantum mechanics the (anti)symmetry of the wave function from indistinguishability of identical particles. Some of these attempts are analyzed and shown to be defective. It is argued that, although identical particles should be considered as observationally indistinguishable in (anti)symmetric states, they may be considered to be conceptually distinguishable. These two notions of (in)distinguishability have quite different physical origins, the former one being related to observations (...)
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  31. 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: 144.0
    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 (...)
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  32. V. K. Ignatovich (1978). Nonspreading Wave Packets in Quantum Mechanics. Foundations of Physics 8 (7-8):565-571.score: 144.0
    In this paper a nonspreading, unnormalizable wave packet satisfying the Schrödinger equation is constructed. A modification of the Schrödinger equation is considered which allows the normalization of the wave packet. The case is generalized for relativistic mechanics.
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  33. Lipo Wang & R. F. O'Connell (1988). Quantum Mechanics Without Wave Functions. Foundations of Physics 18 (10):1023-1033.score: 144.0
    The phase space formulation of quantum mechanics is based on the use of quasidistribution functions. This technique was pioneered by Wigner, whose distribution function is perhaps the most commonly used of the large variety that we find discussed in the literature. Here we address the question of how one can obtain distribution functions and hence do quantum mechanics without the use of wave functions.
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  34. Alyssa Ney & David Z. Albert (eds.) (2013). The Wave Function: Essays in the Metaphysics of Quantum Mechanics. Oxford University Press.score: 144.0
    This is a new volume of original essays on the metaphysics of quantum mechanics. The essays address questions such as: What fundamental metaphysics is best motivated by quantum mechanics? What is the ontological status of the wave function? What is the nature of the fundamental space (or space-time manifold) of quantum mechanics?
     
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  35. S. Kamefuchi (1998). Some Considerations on Quantum Mechanics—Matter Wave and Probability Wave. Foundations of Physics 28 (1):31-43.score: 126.0
    It is argued that the distinction between matter wave and probability wave is made clear when the problem is considered from the field-theory viewpoint. Interference can take place for each of these waves, and the similarity as well as dissimilarity between the two cases is discussed.
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  36. C. Dewdney, G. Horton, M. M. Lam, Z. Malik & M. Schmidt (1992). Wave-Particle Dualism and the Interpretation of Quantum Mechanics. Foundations of Physics 22 (10):1217-1265.score: 126.0
    The realist interpretations of quantum theory, proposed by de Broglie and by Bohm, are re-examined and their differences, especially concerning many-particle systems and the relativistic regime, are explored. The impact of the recently proposed experiments of Vigier et al. and of Ghose et al. on the debate about the interpretation of quantum mechanics is discussed. An indication of how de Broglie and Bohm would account for these experimental results is given.
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  37. David Albert Alyssa Ney (ed.) (2013). The Wave Function: Essays in the Metaphysics of Quantum Mechanics.score: 120.0
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  38. 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: 116.0
    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 (...)
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  39. Albert Solé (2013). Bohmian Mechanics Without Wave Function Ontology. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4):365-378.score: 112.0
  40. Fernando Birman (2009). Quantum Mechanics and the Plight of Physicalism. Journal for General Philosophy of Science 40 (2):207-225.score: 102.0
    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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  41. Valia Allori (2013). On the Metaphysics of Quantum Mechanics. In Soazig Lebihan (ed.), Precis de la Philosophie de la Physique. Vuibert.score: 102.0
    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 (...)
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  42. Roland Omnès (2011). Decoherence and Wave Function Collapse. Foundations of Physics 41 (12):1857-1880.score: 102.0
    The possibility of consistency between the basic quantum principles of quantum mechanics and wave function collapse is reexamined. A specific interpretation of environment is proposed for this aim and is applied to decoherence. When the organization of a measuring apparatus is taken into account, this approach leads also to an interpretation of wave function collapse, which would result in principle from the same interactions with environment as decoherence. This proposal is shown consistent with the non-separable character of (...)
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  43. P. A. M. Dirac (1930). The Principles of Quantum Mechanics. Oxford, the Clarendon Press.score: 96.0
    THE PRINCIPLE OF SUPERPOSITION. The need for a quantum theory Classical mechanics has been developed continuously from the time of Newton and applied to an ...
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  44. Patrick Sibelius (1990). The Mechanical and the Wave-Theoretical Aspects of Momentum Considering Discrete Action. Foundations of Physics 20 (9):1033-1059.score: 84.0
    The mechanical aspect of momentum, basically its role as a tangent vector of the trajectory of the particle, is related to properties of the momentum found in the contexts of Hamilton's optico-mechanical analogy, de Broglie's matter waves, and quantum mechanics. These properties are treated in a systematic way by considering an approximation of the particle mechanical action of the particle by a step function. A special method of discretizing partial differential equations is shown to be required. Using this method, (...)
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  45. Machiel Kleemans (2010). Kristian Camilleri: Heisenberg and the Interpretation of Quantum Mechanics—The Physicist as Philosopher. [REVIEW] Foundations of Physics 40 (11):1783-1787.score: 84.0
    The book Heisenberg and the Interpretation of Quantum Mechanics—The Physicist as Philosopher, by Kristian Camilleri is critically reviewed. The work details Heisenberg’s philosophical development from an early positivist commitment towards a later philosophy of language. It is of interest to researchers and graduate students in the history and philosophy of quantum mechanics.
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  46. J. P. Vigier (1994). Possible Test of the Reality of Superluminal Phase Waves and Particle Phase Space Motions in the Einstein-de Broglie-Bohm Causal Stochastic Interpretation of Quantum Mechanics. Foundations of Physics 24 (1):61-83.score: 84.0
    Recent double-slit type neutron experiments (1) and their theoretical implications (2) suggest that, since one can tell through which slit the individual neutrons travel, coherent wave packets remain nonlocally coupled (with particles one by one), even in the case of wide spatial separation. Following de Broglie's initial proposal, (3) this property can be derived from the existence of the persisting action of real superluminal physical phase waves considered as building blocks of the real subluminal wave field packets which (...)
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  47. Diederik Aerts, Jan Broekaert & Sonja Smets (1998). Inconsistencies in Constituent Theories of World Views: Quantum Mechanical Examples. [REVIEW] Foundations of Science 3 (2):313-340.score: 82.0
    We put forward the hypothesis that there exist three basic attitudes towards inconsistencies within world views: (1) The inconsistency is tolerated temporarily and is viewed as an expression of a temporary lack of knowledge due to an incomplete or wrong theory. The resolution of the inconsistency is believed to be inherent to the improvement of the theory. This improvement ultimately resolves the contradiction and therefore we call this attitude the ‘regularising’ attitude; (2) The inconsistency is tolerated and both contradicting elements (...)
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  48. 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: 78.0
  49. 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: 72.0
    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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  50. Sergio Hernández-Zapata & Ernesto Hernández-Zapata (2010). Classical and Non-Relativistic Limits of a Lorentz-Invariant Bohmian Model for a System of Spinless Particles. Foundations of Physics 40 (5):532-544.score: 72.0
    A completely Lorentz-invariant Bohmian model has been proposed recently for the case of a system of non-interacting spinless particles, obeying Klein-Gordon equations. It is based on a multi-temporal formalism and on the idea of treating the squared norm of the wave function as a space-time probability density. The particle’s configurations evolve in space-time in terms of a parameter σ with dimensions of time. In this work this model is further analyzed and extended to the case of an interaction with (...)
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