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Conditionally exactly solvable problems and non-linear algebras

โœ Scribed by Georg Junker; Pinaki Roy

Book ID
108444872
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
523 KB
Volume
232
Category
Article
ISSN
0375-9601

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Recently, based on a supersymmetric approach, new classes of conditionally exactly solvable problems have been found. These systems exhibit a symmetry structure characterized by non-linear algebras. In this paper the associated ''non-linear'' coherent states are constructed and some of their propert

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A general procedure is presented to construct conditionally exactly solvable CES potentials using the techniques of supersymmetric quantum mechanics. The method is illustrated with potentials related to the harmonic oscillator problem. Besides recovering known results, new CES potentials are also ob