Otro
Green functions of the Dirac equation with magnetic-solenoid field
Registro en:
Journal of Mathematical Physics. Melville: Amer Inst Physics, v. 45, n. 5, p. 1873-1886, 2004.
0022-2488
10.1063/1.1699483
WOS:000220875800013
WOS000220875800013.pdf
Autor
Gavrilov, S. P.
Gitman, D. M.
Smirnov, A. A.
Resumen
Various Green functions of the Dirac equation with a magnetic-solenoid field (the superposition of the Aharonov-Bohm field and a collinear uniform magnetic field) are constructed and studied. The problem is considered in 2+1 and 3+1 dimensions for the natural extension of the Dirac operator (the extension obtained from the solenoid regularization). Representations of the Green functions as proper time integrals are derived. The nonrelativistic limit is considered. For the sake of completeness the Green functions of the Klein-Gordon particles are constructed as well. (C) 2004 American Institute of Physics.