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Journal of Physical Studies 18(1), Article 1002 [10 pages] (2014)
DOI: https://doi.org/10.30970/jps.18.1002 QUASI-EXACTLY SOLVABLE PERIODIC POTENTIALS FOR THE PARTICLE WITH THE PERIODIC POSITION-DEPENDENT MASSO. Voznyak
Ivan Franko National University of Lviv,
Department for Theoretical Physics, |
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The method of supersymetric quantum mechanics has been applied for constructing of the quasi exactly solvable periodic potentials with two known energy levels for the systems with a periodic position-dependent mass. Studied in the paper are the conditions when the superpotential or a generating function with singular behaviour leads to a non-singular potential energy. The examples of singular and non-singular superpotentials or generating functions which lead to a non-singular potential energy have been considered and wave functions corresponding to the two levels have been found.
PACS number(s): 03.65.Ge, 11.30.Pb