New exactly solvable periodic potentials for the Dirac equation

Abstract

A new exactly solvable relativistic periodic potential is obtained by the periodic extension of a well-known transparent scalar potential. It is found that the energy band edges are determined by a transcendental equation which is very similar to the corresponding equation for the Dirac Kronig-Penney model. The solutions of the Dirac equation are expressed in terms of elementary functions.

References in corpus (1)

• Intertwining technique for the one-dimensional stationary Dirac equation

Cited by in corpus (7)

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• New two-parametric family of exactly solvable Dirac Hamiltonians
• Coherent Schwinger Interaction from Darboux Transformation
• Dirac systems with magnetic field and position dependent mass: Darboux transformations and equivalence with generalized Dirac oscillators