The Weyl equation under an external electromagnetic field in the cosmic string space–time

Pramana: Journal of physics

M HOSSEINI^1¹  H HASSANABADI^1² 

[1] Faculty of Physics, Shahrood University of Technology, P.O. Box 3619995161-316, Shahrood, Iran^1;Physics Department, Semnan University, Semnan, Iran^2

关键词: Weyl equation;    cosmic string space–time;    electromagnetic field;    energy eigenvalues;    Nikoforov– Uvarov method;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 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 space–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 Nikiforov–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.

【 授权许可】

CC BY