Exactly solvable associated Lamé potentials and supersymmetric transformations

A systematic procedure to derive exact solutions of the associated Lamé equation for an arbitrary value of the energy is presented. Supersymmetric transformations in which the seed solutions have factorization energies inside the gaps are used to generate new exactly solvable potentials; some of the...

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Veröffentlicht in:	Annals of physics 2007-05, Vol.322 (5), p.1143-1161
Hauptverfasser:	Fernández, David J., Ganguly, Asish
Format:	Artikel
Sprache:	eng
Schlagworte:	Associated Lamé potentials CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS EQUATIONS EXACT SOLUTIONS FACTORIZATION PERIODICITY Physics POTENTIALS QUANTUM MECHANICS Quantum theory Supersymmetric quantum mechanics SUPERSYMMETRY TRANSFORMATIONS
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