Trapping neutral fermions with a PT-symmetric trigonometric potential in the presence of position-dependent mass

• DOI: 10.1016/j.physleta.2007.03.069
• Publication Date: 2007-04-02T07:12:44Z
• Authors: Chun-Sheng Jia; Jian-Yi Liu; Ping-Quan Wang; Chao-Shan Che
• Keywords: 0103 physical sciences; 01 natural sciences

Abstract The relativistic problem of neutral fermions subject to PT-symmetric trigonometric potential ( ∼ i α tan α x ) in 1 + 1 dimensions is investigated. By using the basic concepts of the supersymmetric quantum mechanics formalism and the functional analysis method, we solve exactly the position-dependent effective mass Dirac equation with the vector coupling scheme and obtain the bound state solutions in closed form. The behavior of the energy spectra is discussed in detail.