A new class of quasi-exactly solvable potentials with a position-dependent mass

Ramazan Koç; Mehmet Koca; Eser Körcük

doi:10.1088/0305-4470/35/35/101

A new class of quasi-exactly solvable potentials with a position-dependent mass

Ramazan Koç^*, Mehmet Koca, Eser Körcük

^*Corresponding author for this work

Physics

Research output: Contribution to journal › Article › peer-review

56 Citations (Scopus)

Abstract

A new class of quasi-exactly solvable potentials with a variable mass in the Schrödinger equation is presented. We have derived a general expression for the potentials, including Natanzon confluent potentials. The general solution of the Schrödinger equation is determined and the eigenstates are expressed in terms of the orthogonal polynomials.

Original language	English
Pages (from-to)	L527-L530
Journal	Journal of Physics A: Mathematical and General
Volume	35
Issue number	35
DOIs	https://doi.org/10.1088/0305-4470/35/35/101
Publication status	Published - Sept 6 2002

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

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10.1088/0305-4470/35/35/101

Cite this

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title = "A new class of quasi-exactly solvable potentials with a position-dependent mass",

abstract = "A new class of quasi-exactly solvable potentials with a variable mass in the Schr{\"o}dinger equation is presented. We have derived a general expression for the potentials, including Natanzon confluent potentials. The general solution of the Schr{\"o}dinger equation is determined and the eigenstates are expressed in terms of the orthogonal polynomials.",

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AU - Koca, Mehmet

AU - Körcük, Eser

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Y1 - 2002/9/6

N2 - A new class of quasi-exactly solvable potentials with a variable mass in the Schrödinger equation is presented. We have derived a general expression for the potentials, including Natanzon confluent potentials. The general solution of the Schrödinger equation is determined and the eigenstates are expressed in terms of the orthogonal polynomials.

AB - A new class of quasi-exactly solvable potentials with a variable mass in the Schrödinger equation is presented. We have derived a general expression for the potentials, including Natanzon confluent potentials. The general solution of the Schrödinger equation is determined and the eigenstates are expressed in terms of the orthogonal polynomials.

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A new class of quasi-exactly solvable potentials with a position-dependent mass

Abstract

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