Abstract
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.
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