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  1. Valia Allori (2013). Review of "Do We Really Understand Quantum Mechanics?&Quot; by Franck Laloë. [REVIEW] Notre Dame Philosophical Review.
  2. A. P. Balachandran, Anosh Joseph & Pramod Padmanabhan (2010). Causality and Statistics on the Groenewold–Moyal Plane. Foundations of Physics 40 (7):692-702.
    Quantum theories constructed on the noncommutative spacetime called the Groenewold–Moyal plane exhibit many interesting properties such as Lorentz and CPT noninvariance, causality violation and twisted statistics. We show that such violations lead to many striking features that may be tested experimentally. These theories predict Pauli forbidden transitions due to twisted statistics, anisotropies in the cosmic microwave background radiation due to correlations of observables in spacelike regions and Lorentz and CPT violations in scattering amplitudes.
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  3. William Band & James L. Park (1979). Comments on “The Density Matrix of Scattered Particles”. Foundations of Physics 9 (11-12):937-938.
    This note, in rejoinder to a paper by Newton critical of our analysis of certain limitations of quantum scattering theory, seeks to acknowledge and to clarify the disparate interests of the two conflicting articles.
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  4. William Band & James L. Park (1978). Some Fundamental Difficulties with Quantum Mechanical Collision Theory. Foundations of Physics 8 (9-10):677-694.
    When quantum scattering theory is applied strictly from the point of view that the state of a system is completely described by the density matrix, whether pure or mixed, it is not possible to assume that colliding particles are at all times individually in pure states. Exact results are significantly different from conventionally accepted approximations. In particular, it turns out that the cross section as ordinarily defined in theS-matrix formalism is an adequate parameter for deciding the outcome of interactions only (...)
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  5. Gian Paolo Beretta (1987). Quantum Thermodynamics of Nonequilibrium. Onsager Reciprocity and Dispersion-Dissipation Relations. Foundations of Physics 17 (4):365-381.
    A generalized Onsager reciprocity theorem emerges as an exact consequence of the structure of the nonlinear equation of motion of quantum thermodynamics and is valid for all the dissipative nonequilibrium states, close and far from stable thermodynamic equilibrium, of an isolated system composed of a single constituent of matter with a finite-dimensional Hilbert space. In addition, a dispersion-dissipation theorem results in a precise relation between the generalized dissipative conductivity that describes the mutual interrelation between dissipative rates of a pair of (...)
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  6. Ph Blanchard & A. Jadczyk (1996). Relativistic Quantum Events. Foundations of Physics 26 (12):1669-1681.
    Standard quantum theory is inadequate to explain the mechanisms by which potential becomes actual. It is inadequate and therefore unable to describe generation of events. Niels Bohr emphasized long ago that the classical part of the world is necessary. John Bell stressed the same point: that “measurement≓ cannot even be defined within the standard quantum theory, and he sought a solution within hidden variable theories and his concept of “beables.≓Today it is customary to try to explain emergence of the classical (...)
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  7. D. I. Blokhint͡sev (1968). The Philosophy of Quantum Mechanics. New York, Humanities.
  8. Peter Braun, Sven Gnutzmann, Fritz Haake, Marek Kuś & Karol Życzkowski (2001). Level Dynamics and Universality of Spectral Fluctuations. Foundations of Physics 31 (4):613-622.
    The spectral fluctuations of quantum (or wave) systems with a chaotic classical (or ray) limit are mostly universal and faithful to random-matrix theory. Taking up ideas of Pechukas and Yukawa we show that equilibrium statistical mechanics for the fictitious gas of particles associated with the parametric motion of levels yields spectral fluctuations of the random-matrix type. Previously known clues to that goal are an appropriate equilibrium ensemble and a certain ergodicity of level dynamics. We here complete the reasoning by establishing (...)
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  9. Giorgio Brida, Maria Bondani, Ivo P. Degiovanni, Marco Genovese, Matteo G. A. Paris, Ivano Ruo Berchera & Valentina Schettini (2011). On the Discrimination Between Classical and Quantum States. Foundations of Physics 41 (3):305-316.
    With the purpose of introducing a useful tool for researches concerning foundations of quantum mechanics and applications to quantum technologies, here we address three quantumness quantifiers for bipartite optical systems: one is based on sub-shot-noise correlations, one is related to antibunching and one springs from entanglement determination. The specific cases of parametric downconversion seeded by thermal, coherent and squeezed states are discussed in detail.
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  10. V. Buonomano & A. F. Prado de Andrade (1988). Stochastic Processes for Indirectly Interacting Particles and Stochastic Quantum Mechanics. Foundations of Physics 18 (4):401-426.
    This work has two objectives. The first is to begin a mathematical formalism appropriate to treating particles which only interact with each otherindirectly due to hypothesized memory effects in a stochastic medium. More specifically we treat a situation in which a sequence of particles consecutively passes through a region (e.g., a measuring apparatus) in such a way that one particle leaves the region before the next one enters. We want to study a situation in which a particle may interact with (...)
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  11. Paul Busch, Gianni Cassinelli & Pekka J. Lahti (1990). On the Quantum Theory of Sequential Measurements. Foundations of Physics 20 (7):757-775.
    The quantum theory of sequential measurements is worked out and is employed to provide an operational analysis of basic measurement theoretical notions such as coexistence, correlations, repeatability, and ideality. The problem of the operational definition of continuous observables is briefly revisited, with a special emphasis on the localization observable. Finally, a brief overview is given of possible applications of the theory to various fields and problems in quantum physics.
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  12. Craig Callender & Robert Weingard (1996). Time, Bohm's Theory, and Quantum Cosmology. Philosophy of Science 63 (3):470-474.
    Onc of thc problems of quantnun cosmology follows from thc fact that thc Hamiltonian H of classical general relativity equals zero. Quantizing canonically in thc Schrodinger picture, thc Schrodinger equation for thc wave function *1* of thc universe is thcreforc thc so-called Whcelc:r—DeWitt..
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  13. M. Carmeli & S. Malin (1987). Field Theory onR×S 3 Topology. VI: Gravitation. [REVIEW] Foundations of Physics 17 (4):407-417.
    We extend to curved space-time the field theory on R×S3 topology in which field equations were obtained for scalar particles, spin one-half particles, the electromagnetic field of magnetic moments, an SU2 gauge theory, and a Schrödinger-type equation, as compared to ordinary field equations that are formulated on a Minkowskian metric. The theory obtained is an angular-momentum representation of gravitation. Gravitational field equations are presented and compared to the Einstein field equations, and the mathematical and physical similarity and differences between them (...)
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  14. Jordi Cat (2000). Must the Microcausality Condition Be Interpreted Causally? Theoria 15 (1):59-85.
    The ’microcausality’ condition in quantum field theory is typically presented and justified on the basis of general principles of physical causality. I explore in detail a number of alternative causal interpretations of this condition. I conclude that none is fully satisfactory, independent of further and controversial assumptions about the object and scope of quantum field theories. In particular the stronger causalreadings require a fully reductionist and fundamentalist attitude to quantum field theory. I argue, in a deflationary spirit, for a reading (...)
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  15. D. C. Cole & A. Rueda (1996). The Quantum Dice: An Introduction to Stochastic Electrodynamics. Foundations of Physics 26:1559-1562.
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  16. Peter D. B. Collins & Euan J. Squires (1993). Time in a Quantum Universe. Foundations of Physics 23 (6):913-921.
    The relevance of observations in introducing time dependence into quantum cosmology is discussed, some of the important features being illustrated by a simple example. Although the concept of time arises in a natural way even with a constant wave function, there are some conceptual difficulties in understanding how arguments which are familiar in classical cosmology translate to the quantum case.
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  17. J. R. Croca (2004). De Broglie Tired Light Model and the Reality of the Quantum Waves. Foundations of Physics 34 (12):1929-1954.
    In the early 1960s of the 20th century de Broglie was able to explain the cosmological observable red shift, without ad hoc assumptions. Starting from basic quantum considerations he developed his tired light model for the photon. This model explains in a single and beautiful causal way the cosmological redshift without need of assuming the Big Bang and consequently a beginning for the universe. Evidence coming from Earth sciences seems also to confirm these ideas and furthermore concrete proposal of laboratorial (...)
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  18. Michael E. Cuffaro & Wayne C. Myrvold (2013). On the Debate Concerning the Proper Characterization of Quantum Dynamical Evolution. Philosophy of Science 80 (5):1125-1136.
    There has been a long-standing and sometimes passionate debate between physicists over whether a dynamical framework for quantum systems should incorporate not completely positive (NCP) maps in addition to completely positive (CP) maps. Despite the reasonableness of the arguments for complete positivity, we argue that NCP maps should be allowed, with a qualification: these should be understood, not as reflecting ‘not completely positive’ evolution, but as linear extensions, to a system’s entire state space, of CP maps that are only partially (...)
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  19. Stephen DeBerry (1993). Quantum Psychology: Steps to a Postmodern Ecology of Being. Praeger.
  20. E. del Giudice (2004). The Psycho-Emotional-Physical Unity of Living Organisms as an Outcome of Quantum Physics. In Gordon G. Globus, Karl H. Pribram & Giuseppe Vitiello (eds.), Brain and Being. John Benjamins.
  21. Matthew Donald, Book Review. [REVIEW]
    In “Quantum Evolution”, Johnjoe McFadden makes far-reaching claims for the importance of quantum physics in the solution of problems in biological science. In this review, I shall discuss the relevance of unitary wavefunction dynamics to biological systems, analyse the inverse quantum Zeno effect, and argue that McFadden’s use of quantum theory is deeply flawed.
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  22. Walter M. Elsasser (1951). Quantum Mechanics, Amplifying Processes, and Living Matter. Philosophy of Science 18 (4):300-326.
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  23. John R. Fanchi (2003). Relativistic Dynamical Theory of Particle Decay and Application to K-Mesons. Foundations of Physics 33 (8):1189-1205.
    The theoretical description of particle decay by a single particle theory requires the use of a probability density in time that is not present in conventional theories. The problem of single particle decay is consistently described here within the context of a single particle, relativistic dynamical theory. We derive experimentally testable differences between the standard model and Relativistic Dynamics for a two-state system: the neutral K-meson (K 0) system. We show that the estimate of mass difference between the two states (...)
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  24. John R. Fanchi (2000). Quantum Potential in Relativistic Dynamics. Foundations of Physics 30 (8):1161-1189.
    The experimental confirmation of nonlocality has renewed interest in Bohm's quantum potential. The construction of quantum potentials for relativistic systems has encountered difficulties which do not arise in a parametrized formulation of relativistic quantum mechanics known as Relativistic Dynamics. The purpose of this paper is to show how to construct a quantum potential in the relativistic domain by deriving a relativistically invariant quantum potential using Relativistic Dynamics. The formalism is applied to three relativistic scalar particle models: a single particle interacting (...)
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  25. John R. Fanchi (1998). The Mass Operator and Neutrino Oscillations. Foundations of Physics 28 (10):1521-1528.
    Recent work in parametrized relativistic quantum theory (PRQT) has shown that oscillations between mass states are predicted by an alternative formulation of relativistic quantum theory that uses an invariant evolution parameter. A PRQT model of flavor transitions is compared to the standard model. The resulting PRQT expression for the probability of survival of an incident neutrino differs significantly from the standard neutrino oscillation model. Neutrino oscillation measurements provide an experimental testing ground for two theories that are based on fundamentally different (...)
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  26. John R. Fanchi (1994). Evaluating the Validity of Parametrized Relativistic Wave Equations. Foundations of Physics 24 (4):543-562.
    We wish to determine the correct partial differential equation(s) for describing a relativistic particle. A physical foundation is presented for using a parametrized wave equation with the general form $$i\frac{{\partial \psi }}{{\partial s}} = K\psi$$ where s is the invariant evolution parameter. Several forms have been proposed for the generator K of evolution parameter translations. Of the proposed generators, only the generator K 2 which is proportional to the inner product P μ P μ of fourmomentum operators can be derived (...)
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  27. John R. Fanchi (1981). Resolution of the Klein Paradox for Spin-1/2 Particles. Foundations of Physics 11 (5-6):493-498.
    The problem of a relativistic spin-1/2 particle scattering from a step potential is solved within the theoretical framework of relativistic dynamics. This treatment avoids the Klein paradox. An experiment for testing the theory is suggested.
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  28. M. Ferrero & T. W. Marshall (1991). The Compatibility Between Quantum Mechanics and Local Realist Theories in Atomic Cascade Experiments. Foundations of Physics 21 (4):403-415.
    We show that the divergence between the predictions of quantum optics and the local realist theory known as stochastic optics, for the extended type of photon-coincidence experiment described recently by de Caro, is of the same order of magnitude as for Aspect-type experiments. This means that, in such new experiments, as in those so far performed, counting statistics will have to be greatly improved before a discrimination between the two theories becomes possible.We also show that the outstanding difference between the (...)
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  29. Miguel Ferrero & T. W. Marshall (1991). Quantum Optical Predictions inQ Representation for Bell's Type Experiments. Foundations of Physics 21 (11):1315-1321.
    Using the Q representation, we study the disagreement between quantum optical formalism and local realism and we show that the phenomenon of enhancement, first revealed by the local realist analysis, could receive a simple explanation if we use this particular version of the quantum formalism. Nevertheless, some fundamental difficulties remain.
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  30. John J. Fleming (1964). Sub-Quantum Entities. Philosophy of Science 31 (3):271-274.
    The possibility of a sub-quantum mechanical realm has been investigated in recent years by DeBroglie, Bohm, Vigier, and others. It is felt that what is needed in this investigation is some simple and direct resolution of the problem as to whether sub-quantum entities exist or not. By restricting attention to quanta of light energy there is presented a theoretical expression for a sub-quantum or micro-photon which has proven to be testable. It is possible by this development to bridge the particle-wave (...)
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  31. W. Gans, Alexander Blumen & A. Amann (eds.) (1991). Large-Scale Molecular Systems: Quantum and Stochastic Aspects--Beyond the Simple Molecular Picture. Plenum Press.
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  32. Shan Gao, Meaning of the Wave Function.
    We investigate the meaning of the wave function by analyzing the mass and charge density distributions of a quantum system. According to protective measurement, a charged quantum system has effective mass and charge density distributing in space, proportional to the square of the absolute value of its wave function. In a realistic interpretation, the wave function of a quantum system can be taken as a description of either a physical field or the ergodic motion of a particle. The essential difference (...)
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  33. Shan Gao, The Wave Function and Its Evolution.
    The meaning of the wave function and its evolution are investigated. First, we argue that the wave function in quantum mechanics is a description of random discontinuous motion of particles, and the modulus square of the wave function gives the probability density of the particles being in certain locations in space. Next, we show that the linear non-relativistic evolution of the wave function of an isolated system obeys the free Schrödinger equation due to the requirements of spacetime translation invariance and (...)
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  34. Shan Gao, Derivation of the Schrödinger Equation.
    It is shown that the heuristic "derivation" of the Schrödinger equation in quantum mechanics textbooks can be turned into a real derivation by resorting to spacetime translation invariance and relativistic invariance.
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  35. Sheldon Goldstein, Topological Factors Derived From Bohmian Mechanics.
    We derive for Bohmian mechanics topological factors for quantum systems with a multiply-connected configuration space Q. These include nonabelian factors corresponding to what we call holonomy-twisted representations of the fundamental group of Q. We employ wave functions on the universal covering space of Q. As a byproduct of our analysis, we obtain an explanation, within the framework of Bohmian mechanics, of the fact that the wave function of a system of identical particles is either symmetric or anti-symmetric.
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  36. 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 in terms (...)
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  37. Stanley Gudder (1992). Quantum Stochastic Models. Foundations of Physics 22 (6):839-852.
    Quantum stochastic models are developed within the framework of a measure entity. An entity is a structure that describes the tests and states of a physical system. A measure entity endows each test with a measure and equips certain sets of states as measurable spaces. A stochastic model consists of measurable realvalued function on the set of states, called a generalized action, together with measures on the measurable state spaces. This structure is then employed to compute quantum probabilities of test (...)
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  38. Stanley Gudder (1990). Quantum Stochastic Processes. Foundations of Physics 20 (11):1345-1363.
    We first define a class of processes which we call regular quantum Markov processes. We next prove some basic results concerning such processes. A method is given for constructing quantum Markov processes using transition amplitude kernels. Finally we show that the Feynman path integral formalism can be clarified by approximating it with a quantum stochastic process.
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  39. W. Guz (1984). Stochastic Phase Spaces, Fuzzy Sets, and Statistical Metric Spaces. Foundations of Physics 14 (9):821-848.
    This paper is devoted to the study of the notion of the phase-space representation of quantum theory in both the nonrelativisitic and the relativisitic cases. Then, as a derived concept, the stochastic phase space is introduced and its connections with fuzzy set theory and probabilistic topological (in particular, metric) spaces are discussed.
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  40. Hans Halvorson (2004). On Information-Theoretic Characterizations of Physical Theories. Studies in History and Philosophy of Science Part B 35 (2):277-293.
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  41. Michał Heller (1994). Dalszy Ciąg Ważnej Debaty [Recenzja] Quantum Cosmology and the Laws of Nature - Scientific Perspectives on Divine Action, Red.: R.J. Russel, N. Murphy, C. J. Isham, 1993. [REVIEW] Zagadnienia Filozoficzne W Nauce 16.
  42. Carl W. Helstrom (1974). “Simultaneous Measurement” From the Standpoint of Quantum Estimation Theory. Foundations of Physics 4 (4):453-463.
    The purpose of the simultaneous measurement of noncommuting quantum observables can be viewed as the joint estimation of parameters of the density operator of the quantum system. Joint estimation involves the application of a multiply parameterized operator-valued measure. An example related to the simultaneous estimation of the position and velocity of a particle is given. Conceptual difficulties attending simultaneous measurement of noncommuting observables are avoided by this formation.
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  43. Marj Jibu & Kunio Yasue (1995). Quantum Brain Dynamics and Consciousness: An Introduction. John Benjamins.
    The book is the first to give a systematic account, founded in fundamental quantum physical principles, of how the brain functions as a unified system.
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  44. Christian Thomas Kohl (2008). Buddhism and Quantum Physics. Concepts of Physics 8 (3):517-519.
    What is reality? The mindsets of the modern world provide four answers to that question and oscillate between these answers.
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  45. Christian Edward Mortensen & J. M. Csavas (2003). In the Beginning. Erkenntnis 59 (2):141 - 156.
    In this paper, a survey is made of some of the contributions to the interpretation of Hartle and Hawking's theory of the wave function of the universe and its beginning. It is argued that there are considerable difficulties with the interpretation of the theory, but that there is at least one interpretation hitherto not found in the literature which survives existing philosophical objections.
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  46. F. A. Muller & M. P. Seevinck (2009). Discerning Elementary Particles. Philosophy of Science 76 (2):179-200.
    We maximally extend the quantum‐mechanical results of Muller and Saunders ( 2008 ) establishing the ‘weak discernibility’ of an arbitrary number of similar fermions in finite‐dimensional Hilbert spaces. This confutes the currently dominant view that ( A ) the quantum‐mechanical description of similar particles conflicts with Leibniz’s Principle of the Identity of Indiscernibles (PII); and that ( B ) the only way to save PII is by adopting some heavy metaphysical notion such as Scotusian haecceitas or Adamsian primitive thisness. We (...)
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  47. Wayne C. Myrvold (2010). From Physics to Information Theory and Back. In Alisa Bokulich & Gregg Jaeger (eds.), Philosophy of Quantum Information and Entanglement. Cambridge University Press. 181--207.
    Quantum information theory has given rise to a renewed interest in, and a new perspective on, the old issue of understanding the ways in which quantum mechanics differs from classical mechanics. The task of distinguishing between quantum and classical theory is facilitated by neutral frameworks that embrace both classical and quantum theory. In this paper, I discuss two approaches to this endeavour, the algebraic approach, and the convex set approach, with an eye to the strengths of each, and the relations (...)
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