On potentials admitting solutions of the one-dimensional stationary Schroedinger equation in hypergeometric functions

Goncharenko, A.M.; Karpenko, V.A.; Mogilevich, V.N.

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Primary Subject
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS (1)

Subject Area
Nuclear Physics (1)

Record Type
Journal Article (1)

Literature Type

Conference Title

Journal Title
Teoreticheskaya i Matematicheskaya Fizika (1)

Publication Year
1991 (1)

Publication Year Range

1991 – 1995 (1)

Country of publication
USSR (1)

Language
Russian (1)

Descriptors
DIFFERENTIAL EQUATIONS (1)
EIGENFUNCTIONS (1)
EQUATIONS (1)
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23 (1)

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6 (1)

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On potentials admitting solutions of the one-dimensional stationary Schroedinger equation in hypergeometric functions

Goncharenko, A.M.; Karpenko, V.A.; Mogilevich, V.N.1991

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AbstractAbstract

[en] It is shown that there are only two five-parameter potentials admitting solutions of the Schroedinger equation in hypergeometric functions. A connection of these potentials with the known ones is established

Original Title

O potentsialakh, dopuskayushchikh resheniya odnomernogo statsionarnogo uravneniya Shredingera v izvestnykh funktsiyakh

Primary Subject

CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS (G1100)

Record Type

Journal Article

Journal

Teoreticheskaya i Matematicheskaya Fizika; ISSN 0564-6162;

; CODEN TMFZA; v. 88(1); p. 59-65

Country of publication

USSR

Descriptors (DEI)

EIGENFUNCTIONS, HYPERGEOMETRIC FUNCTIONS, ONE-DIMENSIONAL CALCULATIONS, POTENTIALS, SCHROEDINGER EQUATION

Descriptors (DEC)

DIFFERENTIAL EQUATIONS, EQUATIONS, FUNCTIONS, PARTIAL DIFFERENTIAL EQUATIONS, WAVE EQUATIONS

LanguageLanguage

Russian

Reference NumberReference Number

23017632

INIS VolumeINIS Volume

INIS IssueINIS Issue

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