Relativistic coherent states and charge structure of the coordinate and momentum operators
Quantum Physics
2009-11-07 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
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; (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.
Keywords
Cite
@article{arxiv.quant-ph/0206180,
title = {Relativistic coherent states and charge structure of the coordinate and momentum operators},
author = {B. I. Lev and A. A. Semenov and C. V. Usenko and J. R. Klauder},
journal= {arXiv preprint arXiv:quant-ph/0206180},
year = {2009}
}
Comments
11 pages, 10 figures