Tomographic Probability Representation for States of Charge moving in Varying Field

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.

12 pages, submitted to "Optics and Spectroscopy"

References in corpus (4)

• Magnetically Tunable Kondo - Aharonov-Bohm Effect in a Triangular Quantum Dot
• Tunneling through triple quantum dots with mirror symmetry
• Quantum transport properties of two-dimensional electron gases under high magnetic fields
• A pedagogical presentation of a $C^{\star }$-algebraic approach to quantum tomography

Cited by in corpus (4)

• Signatures of entanglement in an optical tomogram
• Energy and magnetic moment of a quantum charged particle in time dependent magnetic and electric fields of circular and plane solenoids
• A solvable model of Landau quantization breakdown
• Adiabatic amplification of energy and magnetic moment of a charged particle after the magnetic field inversion