Relativistic coherent states and charge structure of the coordinate and momentum operators

B. I. Lev; A. A. Semenov; C. V. Usenko; J. R. Klauder

doi:10.1103/PhysRevA.66.022115

Relativistic coherent states and charge structure of the coordinate and momentum operators

B. I. Lev, A. A. Semenov, C. V. Usenko, and J. R. Klauder

Phys. Rev. A 66, 022115 – Published 27 August 2002

Abstract

We consider relativistic coherent states for a spin-0 charged particle that satisfy the next additional requirements: (i) the expected values of the standard coordinate and momentum operators are uniquely related to the real and imaginary parts of the coherent state parameter $α;$ (ii) these states contain only one charge component. Three cases are considered: free particle, relativistic rotator, and particle in a constant homogeneous magnetic field. For the rotational motion of the two latter cases, such a description leads to the appearance of the so-called nonlinear coherent states.

Received 19 April 2002

DOI:https://doi.org/10.1103/PhysRevA.66.022115

Authors & Affiliations

B. I. Lev^* and A. A. Semenov^†

Institute of Physics, National Academy of Sciences of Ukraine, 46 Nauky pr, Kiev 03028, Ukraine

C. V. Usenko^‡

Physics Department, Taras Shevchenko Kiev University, 6 Academician Glushkov pr, Kiev 03127, Ukraine

J. R. Klauder^§

Departments of Physics and Mathematics, University of Florida, Gainesville, Florida 32611

^*Also at Physics Department, Taras Shevchenko Kiev University, Kiev 03127, Ukraine. Electronic address: lev@iop.kiev.ua
^†Electronic address: sem@iop.kiev.ua
^‡Electronic address: usenko@ups.kiev.ua
^§Electronic address: klauder@phys.ufl.edu

References (Subscription Required)

Click to Expand

Issue

Vol. 66, Iss. 2 — August 2002

Reuse & Permissions

Access Options

Author publication services for translation and copyediting assistance advertisement

Physical Review A

covering atomic, molecular, and optical physics and quantum information