Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume 39, Issue 32, Pages 10133-10142Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/39/32/S14
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We enlarge the limited class of analytically solvable one-dimensional periodic potentials with a finite number of band gaps by considering the complex, PT-symmetric generalized associated Lame (GAL) potential with four parameters and applying supersymmetry. We obtain three duality relations which relate the band-edge eigenstates of the twenty four GAL potentials obtained by permutation of the four parameters.
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