Tomographic Probability Representation for States of Charge moving in Varying Field

TL;DR

This paper explores the quantum tomographic probability representation of charge states in a varying magnetic field, expressing coherent and Fock states as probability distributions with time-dependent parameters.

Contribution

It introduces a novel tomographic framework for describing charge states in varying magnetic fields, including explicit forms of tomograms for coherent and Fock states.

Findings

Coherent state tomograms are normal distributions with time-varying means and dispersions.

Fock state tomograms are expressed via multivariable Hermite polynomials with time-dependent arguments.

The approach provides a probabilistic description of quantum states in dynamic magnetic environments.

Abstract

The coherent and Fock states of a charge moving in varying homogeneous magnetic field are studied in the tomographic probability representation of quantum mechanics. The states are expressed in terms of quantum tomograms. The coherent states tomograms are shown to be described by normal distributions with varying dispersions and means. The Fock state tomograms are given in the form of probability distributions described by multivariable Hermite polynomials with time-dependent arguments.