New exactly solvable periodic potentials for the Dirac equation
量子物理
2013-03-05 v1 高能物理 - 理论
摘要
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.
关键词
引用
@article{arxiv.quant-ph/0307159,
title = {New exactly solvable periodic potentials for the Dirac equation},
author = {B. F. Samsonov and A. A. Pecheritsin and E. O. Pozdeeva and M. L. Glasser},
journal= {arXiv preprint arXiv:quant-ph/0307159},
year = {2013}
}