9 found
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  1.  78
    The Quantum Potential and Signalling in the Einstein-Podolsky-Rosen Experiment.P. R. Holland & J. P. Vigier - 1988 - Foundations of Physics 18 (7):741-750.
    According to the causal interpretation of quantum mechanics, one can precisely define the state of an individual particle in a many-body system by its position, momentum, and spin. It is shown in the EPR spin experiment that the quantum torque brings about an instantaneous change in the state of one of the particles when the other undergoes a local interaction, but that such a transfer of “information” cannot be extracted by any experiment subject to the laws of quantum mechanics.
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  2.  87
    Trajectories and Causal Phase-Space Approach to Relativistic Quantum Mechanics.P. R. Holland, A. Kyprianidis & J. P. Vigier - 1987 - Foundations of Physics 17 (5):531-548.
    We analyze phase-space approaches to relativistic quantum mechanics from the viewpoint of the causal interpretation. In particular, we discuss the canonical phase space associated with stochastic quantization, its relation to Hilbert space, and the Wigner-Moyal formalism. We then consider the nature of Feynman paths, and the problem of nonlocality, and conclude that a perfectly consistent relativistically covariant interpretation of quantum mechanics which retains the notion of particle trajectory is possible.
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  3.  69
    Einstein-Podolsky-Rosen Constraints on Quantum Action at a Distance: The Sutherland Paradox. [REVIEW]N. Cufaro-Petroni, C. Dewdney, P. R. Holland, A. Kyprianidis & J. P. Vigier - 1987 - Foundations of Physics 17 (8):759-773.
    Assuming that future experiments confirm Aspect's discovery of nonlocal interactions between quantum pairs of correlated particles, we analyze the constraints imposed by the EPR reasoning on the said interactions. It is then shown that the nonlocal relativistic quantum potential approach plainly satisfies the Einstein causality criteria as well as the energy-momentum conservation in individual microprocesses. Furthermore, this approach bypasses a new causal paradox for timelike separated EPR measurements deduced by Sutherland in the frame of an approach by means of space-time (...)
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  4.  12
    New Trajectory Interpretation of Quantum Mechanics.P. R. Holland - 1998 - Foundations of Physics 28 (6):881-911.
    It was shown by de Broglie and Bohm that the concept of a deterministic particle trajectory is compatible with quantum mechanics. It is demonstrated by explicit construction that there exists another more general deterministic trajectory interpretation. The method exploits an internal angular degree of freedom that is implicit in the Schrödinger equation, in addition to the particle position. The de Broglie-Bohm model is recovered when the new theory is averaged over the internal freedom. The model exhibits a strong form of (...)
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  5.  14
    Geometry of Dislocated de Broglie Waves.P. R. Holland - 1987 - Foundations of Physics 17 (4):345-363.
    The geometrical structures implicit in the de Broglie waves associated with a relativistic charged scalar quantum mechanical particle in an external field are analyzed by employing the ray concept of the causal interpretation. It is shown how an osculating Finslerian metric tensor, a torsion tensor, and a tetrad field define respectively the strain, the dislocation density, and the Burgers vector in the “natural state” of the wave, which is a non-Riemannian space of distant parallelism. A quantum torque determined by the (...)
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  6. Kochen–Specker -Obstruction for Position and Momentum Using a Single Degree of Freedom.P. R. Holland - unknown
    The Bell–Kochen–Specker theorem shows that, in any Hilbert space of dimension of at least 3, it is impossible to assign noncontextual definite values to all observables in such a way that the quantum-mechanical predictions are reproduced. This leaves open the issue of what subsets of observables may be assigned definite values. Clifton has shown that, for a system of at least two continuous degrees of freedom, it is not possible to assign simultaneous noncontextual values to two coordinates and their conjugate (...)
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  7.  28
    The Dirac Equation in the de Broglie-Bohm Theory of Motion.P. R. Holland - 1992 - Foundations of Physics 22 (10):1287-1301.
    We discuss the application of the de Broglie-Bohm theory of relativistic spin-1/2 particles to the Klein paradox andzitterbewegung.
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  8. Generic Incomparability of Infinite-Dimensional Entangled States.P. R. Holland - unknown
    In support of a recent conjecture by Nielsen (1999), we prove that the phenomena of ‘incomparable entanglement’— whereby, neither member of a pair of pure entangled states can be transformed into the other via local operations and classical communication (LOCC)—is a generic feature when the states at issue live in an infinite-dimensional Hilbert space.  2002 Elsevier Science B.V. All rights reserved.
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  9.  7
    David Joseph Bohm: 1917–1992. [REVIEW]P. R. Holland & J. P. Vigier - 1993 - Foundations of Physics 23 (1):5-6.