Busca avançada
Ano de início
Entree


Dirac equation in magnetic-solenoid field

Texto completo
Autor(es):
Gavrilov, S. P. ; Gitman, D. M. ; Smirnov, A. A.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: EUROPEAN PHYSICAL JOURNAL C; v. 32, p. 24-pg., 2004-07-01.
Resumo

We consider the Dirac equation in the magnetic-solenoid field (the field of a solenoid and a collinear uniform magnetic field). For the case of Aharonov-Bohm solenoid, we construct self-adjoint extensions of the Dirac Hamiltonian using von Neumann's theory of deficiency indices. We find self-adjoint extensions of the Dirac Hamiltonian and boundary conditions at the AB solenoid. Besides, for the first time, solutions of the Dirac equation in the magnetic-solenoid field with a finite radius solenoid were found. We study the structure of these solutions and their dependence on the behavior of the magnetic field inside the solenoid. Then we exploit the latter solutions to specify boundary conditions for the magnetic-solenoid field with Aharonov-Bohm solenoid. (AU)

Processo FAPESP: 02/11321-8 - Serguei Gavrilov | Universidade de Tomsk - Rússia
Beneficiário:Jeferson de Lima Tomazelli
Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional