Partial symplectic quantum tomography schemes. Observables, evolution equations, and stationary states equations
Abstract
Partial symplectic conditional and joint probability representations of quantum mechanics are considered. The correspondence rules for most interesting physical operators are found and the expressions of the dual symbols of operators are derived. Calculations were made by use of general formalism of quantizers and dequantizers determining the star product quantization scheme in these representations. Taking the Gaussian functions as the distributions of the tomographic parameters the examples of joint probability representations were considered. Evolution equations and stationary states equations for partial symplectic conditional and joint probability distributions are obtained.
Cite
@article{arxiv.2406.06554,
title = {Partial symplectic quantum tomography schemes. Observables, evolution equations, and stationary states equations},
author = {Ya. A. Korennoy and V. I. Man'ko},
journal= {arXiv preprint arXiv:2406.06554},
year = {2024}
}
Comments
9 pages. arXiv admin note: substantial text overlap with arXiv:1610.06962