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Open Quantum Systems Decoherence

Observables, evolution equation,and stationary states equation in the joint probability representation of quantum mechanics

arXiv

Authors: Ya. A. Korennoy, V. I. Man'ko

Year

2016

Paper ID

42806

Status

Preprint

Abstract Read

~2 min

Abstract Words

105

Citations

N/A

Abstract

Symplectic and optical joint probability representations of quantum mechanics are considered, in which the functions describing the states are the probability distributions with all random arguments (except the argument of time ). The general formalism of quantizers and dequantizers determining the star product quantization scheme in these representations is given. Taking the Gaussian functions as the distributions of the tomographic parameters the correspondence rules for most interesting physical operators are found and the expressions of the dual symbols of operators in the form of singular and regular generalized functions are derived. Evolution equations and stationary states equations for symplectic and optical joint probability distributions are obtained.

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Symplectic and optical joint probability representations of quantum mechanics are considered, in which the functions describing the states are the probability distributions...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1610.06962 [2] arXiv https://arxiv.org/abs/1610.06962 [3] Publisher https://arxiv.org/abs/1610.06962

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