Gavrilov, S. P.Gitman, D. M.Smirnov, A. A.2014-05-202014-05-202004-05-01Journal of Mathematical Physics. Melville: Amer Inst Physics, v. 45, n. 5, p. 1873-1886, 2004.0022-2488http://hdl.handle.net/11449/33150Various 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.1873-1886engGreen functions of the Dirac equation with magnetic-solenoid fieldArtigo10.1063/1.1699483WOS:000220875800013Acesso abertoWOS000220875800013.pdf