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Again on coherent states in magnetic-solenoid field

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.

preprint2011arXivOpen access
V. G. BagrovS. P. GavrilovD. M. GitmanK. Gorska
hep-thquant-ph
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V. G. BagrovS. P. GavrilovD. M. GitmanK. Gorska

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