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QUANTUM DEFORMATIONS OF QUANTUM MECHANICS
Modern Physics Letters A, 1993Based on a deformation of the quantum mechanical phase space we study q-deformations of quantum mechanics for qk=1 and 0<q<1. After defining a q-analog of the scalar product on the function space we discuss and compare the time evolution of operators in both cases.
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Quantum Mechanics and Computation
Foundations of Science, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D'Hooghe, Bart, Pykacz, Jaroslaw
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Physical Review A, 1987
Euclidean quantum mechanics is not limited to an analytical continuation in time from the Schr\"odinger equation to the heat equation. It is a new classical statistical theory founded on a new probabilistic interpretation of the heat equation and constitutes the closest classical analogy of quantum mechanics.
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Euclidean quantum mechanics is not limited to an analytical continuation in time from the Schr\"odinger equation to the heat equation. It is a new classical statistical theory founded on a new probabilistic interpretation of the heat equation and constitutes the closest classical analogy of quantum mechanics.
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A REFORMULATION OF QUANTUM MECHANICS
Modern Physics Letters A, 1991We show that the phenomena explained by quantum mechanics can alternatively be explained as a breakdown of probability theory without the need for wave-particle duality or the idea that a particle does not have a unique path in space. The single-particle Lagrangian consistent with the reformulated quantum mechanics is derived and specialized to the ...
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Physical Review D, 1991
The quantum theory of a type of generally covariant field theory, that has no local degrees of freedom, is described. Physical observables that capture topological properties of the manifold are identified and a representation of their Poisson algebra is constructed to obtain the quantum theory.
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The quantum theory of a type of generally covariant field theory, that has no local degrees of freedom, is described. Physical observables that capture topological properties of the manifold are identified and a representation of their Poisson algebra is constructed to obtain the quantum theory.
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Fractals and quantum mechanics
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2000A new application of a fractal concept to quantum physics has been developed. The fractional path integrals over the paths of the Lévy flights are defined. It is shown that if fractality of the Brownian trajectories leads to standard quantum mechanics, then the fractality of the Lévy paths leads to fractional quantum mechanics.
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2010
These matrices are both Hermetian and unitary. Further, any two Pauli matrices anticommute.
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These matrices are both Hermetian and unitary. Further, any two Pauli matrices anticommute.
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Generalization of Quantum Mechanics
Physical Review, 1960The possibility of generalizing quantum mechanics in such a way as to retain its predictive results, while comprehending additional solutions, is examined. It is found that this can be done through a perfected formal correspondence with Hamilton-Jacobi mechanics, by which one is led to consider generalizations of the Heisenberg postulate of the form ...
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Zitterbewegung in Quantum Mechanics
Foundations of Physics, 2009This interesting paper contains a research program investigating implications of the real Dirac equation for the interpretation and extension of quantum mechanics. The possibility that zitterbewegung opens a window to particle substructure in quantum mechanics is explored by constructing a particle model with some features inherent in the well known ...
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Physical Review A, 1987
It is pointed out that both classical Wheeler-Feynman electrodynamics and its finite quantized generalization inevitably lead to microscopic causality violation. As there is some evidence for such effects in proton Compton scattering, there is possibly reason to prefer such absorber theories of action at a distance over field theories as the more ...
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It is pointed out that both classical Wheeler-Feynman electrodynamics and its finite quantized generalization inevitably lead to microscopic causality violation. As there is some evidence for such effects in proton Compton scattering, there is possibly reason to prefer such absorber theories of action at a distance over field theories as the more ...
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