Again on coherent states in magnetic-solenoid field
Quantum Physics
2012-06-07 v1 High Energy Physics - Theory
Abstract
This article completes our study of coherent states in the so-called magnetic-solenoid field (a colinear combination of a constant uniform magnetic field and Aharonov-Bohm solenoid field) presented in JPA 2010 and 2011. Here we succeeded to prove nontrivial completeness relations for non-relativistic and relativistic coherent states in such a field. In addition, we solve here the relevant Stieltjes moment problem and present a comparative analysis of our coherent states and the well-known in the case of pure uniform magnetic field Malkin-Man'ko coherent states.
Keywords
Cite
@article{arxiv.1108.5089,
title = {Again on coherent states in magnetic-solenoid field},
author = {V. G. Bagrov and S. P. Gavrilov and D. M. Gitman and K. Gorska},
journal= {arXiv preprint arXiv:1108.5089},
year = {2012}
}
Comments
9 pages