The Weyl equation under an external electromagnetic field in the cosmic string spacea??time

摘要

In this paper we have considered a massless spinor Dirac particle in the presence of an external electromagnetic field in the cosmic string spacea??time. To study the Weyl equation in the cosmic string framework using the general definition of Laplacian in the curved space, elements of covariant derivative have been constructed and the Weyl equation has been rewritten in the considered framework. Then we have obtained the equation ofenergy eigenvalues by using the Nikiforova??Uvarov (NU) method. The wave function has been obtained in terms of Laguerre polynomials. An important result obtained is that the degeneracy of the Minkowski space spectral is broken in the transition from Minkowski to cosmic string space.