Periodic potentials and PT symmetry

Khare, Avinash ; Sukhatme, Uday (2006) Periodic potentials and PT symmetry Journal of Physics A: Mathematical and General, 39 (32). pp. 10133-10142. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/39/32/S14

Related URL: http://dx.doi.org/10.1088/0305-4470/39/32/S14

Abstract

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 Lamé (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.

Item Type:Article
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Deposited On:20 Feb 2012 06:34
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