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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/39295
Title: 
Dirac equation in magnetic-solenoid field
Author(s): 
Institution: 
  • Universidade Estadual Paulista (UNESP)
  • Universidade de São Paulo (USP)
ISSN: 
1434-6044
Sponsorship: 
  • Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
  • Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
  • Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
Sponsorship Process Number: 
FAPESP: 02/11321-8
Abstract: 
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.
Issue Date: 
1-Jul-2004
Citation: 
European Physical Journal C. New York: Springer, v. 32, p. S119-S142, 2004.
Time Duration: 
S119-S142
Publisher: 
Springer
Source: 
http://dx.doi.org/10.1140/epjcd/s2003-01-009-1
URI: 
Access Rights: 
Acesso restrito
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/39295
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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