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arXiv · 1108.5089

Again on coherent states in magnetic-solenoid field

V. G. Bagrov·S. P. Gavrilov·D. M. Gitman·K. Gorska
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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.

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V. G. Bagrov, S. P. Gavrilov, D. M. Gitman, K. Gorska. 2011-08-25. Again on coherent states in magnetic-solenoid field. https://doi.org/10.1088/1751-8113/45/24/244008

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