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Quantum mechanics of history: The decoherence functional in quantum mechanics

Physical Review D, 1992
We study a formulation of quantum mechanics in which the central notion is that of a quantum-mechanical history---a sequence of events at a succession of times. The primary aim is to identify sets of ``decoherent'' (or ``consistent'') histories for the system. These are quantum-mechanical histories suffering negligible interference with each other, and,
, Dowker, , Halliwell
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QUANTUM DEFORMATIONS OF QUANTUM MECHANICS

Modern Physics Letters A, 1993
Based 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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Euclidean quantum mechanics

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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Quantum Mechanics and Computation

Foundations of Science, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D'Hooghe, Bart, Pykacz, Jaroslaw
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A REFORMULATION OF QUANTUM MECHANICS

Modern Physics Letters A, 1991
We 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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Topological quantum mechanics

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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Quantum mechanics

This is a brief review of the history and development of quantum theories. Starting from the experimental f indings and theoretical results which marked the crisis of the classical framework, I overview the rise of axiomatic quantum mechanics through matrix and wave mechanics.
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Quantum mechanical searching

Proceedings of the 1999 Congress on Evolutionary Computation-CEC99 (Cat. No. 99TH8406), 2003
It has recently been shown that the searching speed of computers based on quantum mechanics is far superior to their classical counterparts.
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