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Completeness for coherent states in a magnetic-solenoid field

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Autor(es):
Bagrov, V. G. ; Gavrilov, S. P. ; Gitman, D. M. ; Gorska, K.
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: Journal of Physics A-Mathematical and Theoretical; v. 45, n. 24, p. 11-pg., 2012-06-22.
Resumo

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)

Processo FAPESP: 10/15698-5 - Estados coerentes e descrição semiclássica de sistemas quânticos dissipativos, sistemas espinoriais, e partículas quânticas relativísticas
Beneficiário:Katarzyna Górska
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado