New exactly solvable periodic potentials for the Dirac equation

Details New exactly solvable periodic potentials for the Dirac equation New exactly solvable periodic potentials for the Dirac equation

2003-07-22

arxiv.org/abs/quant-ph/0307159v1

European Journal of Physics 24 (2003) 435-441

Physics

Quantum Physics

Scientific paper

10.1088/0143-0807/24/4/362

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.

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