METHODS FOR GENERATING QUASI-EXACTLY SOLVABLE POTENTIALS

Authors
GANGOPADHYAYA A KHARE A SUKHATME UP
Citation
A. Gangopadhyaya et al., METHODS FOR GENERATING QUASI-EXACTLY SOLVABLE POTENTIALS, Physics letters. A, 208(4-6), 1995, pp. 261-268
Citations number
19
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
208
Issue
4-6
Year of publication
1995
Pages
261 - 268
Database
ISI
SICI code
0375-9601(1995)208:4-6<261:MFGQSP>2.0.ZU;2-W
Abstract
We describe three different methods for generating quasi-exactly solva ble potentials, for which a finite number of eigenstates are analytica lly known. The three methods are respectively based on (i) a polynomia l ansatz for wave functions; (ii) point canonical transformations; (ii i) supersymmetric quantum mechanics. The methods are rather general an d give considerably richer results than those available in the current literature.