| Full text | |
| Author(s): |
Bagrov, V. G.
;
Gavrilov, S. P.
;
Gitman, D. M.
;
Gorska, K.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Journal of Physics A-Mathematical and Theoretical; v. 45, n. 24, p. 11-pg., 2012-06-22. |
| Abstract | |
This paper completes our study of coherent states in the so-called magnetic-solenoid field (a collinear combination of a constant uniform magnetic field and Aharonov-Bohm solenoid field) presented in Bagrov et al (2010 J. Phys. A: Math. Theor. 43 354016, 2011 J. Phys. A: Math. Theor. 44 055301). Here, we succeeded in proving 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. (AU) | |
| FAPESP's process: | 10/15698-5 - Coherent states and semiclassical description of quantum dissipative systems, spinning systems, and quantum relativistic particles. |
| Grantee: | Katarzyna Górska |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |