Methods for generating quasi-exactly solvable potentials

Gangopadhyaya, Asim ; Khare, Avinash ; Sukhatme, Uday P. (1995) Methods for generating quasi-exactly solvable potentials Physics Letters A, 208 (4-6). pp. 261-268. ISSN 0375-9601

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We describe three different methods for generating quasi-exactly solvable potentials, for which a finite number of eigenstates are analytically known. The three methods are respectively based on (i) a polynomial ansatz for wave functions; (ii) point canonical transformations; (iii) supersymmetric quantum mechanics. The methods are rather general and give considerably richer results than those available in the current literature.

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Deposited On:16 Nov 2010 12:53
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