Methods for Generating Quasi-Exactly Solvable Potentials

Asim Gangopadhyaya; Avinash Khare; Uday P. Sukhatme

doi:10.1016/0375-9601(95)00824-3

Methods for Generating Quasi-Exactly Solvable Potentials

Asim Gangopadhyaya, Avinash Khare, Uday P. Sukhatme

Department of Physics

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Abstract

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.

Original language	American English
Journal	Physics: Faculty Publications and Other Works
Volume	4-6
Issue number	4
DOIs	https://doi.org/10.1016/0375-9601(95)00824-3
State	Published - Dec 1 1995

Keywords

supersymmetric quantum mechanics
quasi-exactly solvable potentials

Disciplines

Physics

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title = "Methods for Generating Quasi-Exactly Solvable Potentials",

abstract = " 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.",

keywords = "supersymmetric quantum mechanics, quasi-exactly solvable potentials",

author = "Asim Gangopadhyaya and Avinash Khare and Sukhatme, {Uday P.}",

note = "Gangopadhyaya, A, A Khare, and UP Sukhatme. {"}Methods for Generating Quasi-Exactly Solvable Potentials.{"} Physics Letters A 4-6(4), 1995.",

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T1 - Methods for Generating Quasi-Exactly Solvable Potentials

AU - Gangopadhyaya, Asim

AU - Khare, Avinash

AU - Sukhatme, Uday P.

N1 - Gangopadhyaya, A, A Khare, and UP Sukhatme. "Methods for Generating Quasi-Exactly Solvable Potentials." Physics Letters A 4-6(4), 1995.

PY - 1995/12/1

Y1 - 1995/12/1

N2 - 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.

AB - 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.

KW - supersymmetric quantum mechanics

KW - quasi-exactly solvable potentials

UR - https://ecommons.luc.edu/physics_facpubs/44

U2 - 10.1016/0375-9601(95)00824-3

DO - 10.1016/0375-9601(95)00824-3

M3 - Article

VL - 4-6

JO - Physics: Faculty Publications and Other Works

JF - Physics: Faculty Publications and Other Works

IS - 4

ER -

Methods for Generating Quasi-Exactly Solvable Potentials

Abstract

Keywords

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