Journal
EUROPEAN JOURNAL OF PHYSICS
Volume 24, Issue 4, Pages 435-441Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0143-0807/24/4/362
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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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