Schrödinger equation with the potential V(r) = Ar-4+Br-3+Cr-2+Dr-1

Shi Hai Dong

doi:10.1238/Physica.Regular.064a00273

Schrödinger equation with the potential V(r) = Ar^-4+Br^-3+Cr^-2+Dr^-1

Shi Hai Dong

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

61 Scopus citations

Abstract

An exact analytic solution to the stationary Schrodinger equation in two dimensions is obtained by applying a factorization ansatz to the eigenfunction. For this purpose, a two-dimensional stationary Schrodinger equation is considered with a potential depending on the distance from the origin. The restrictions on the parameters of the studied potential and the angular momentum quantum number are also presented.

Original language	English
Pages (from-to)	273-276
Number of pages	4
Journal	Physica Scripta
Volume	64
Issue number	4
DOIs	https://doi.org/10.1238/Physica.Regular.064a00273
State	Published - Oct 2001
Externally published	Yes

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10.1238/Physica.Regular.064a00273

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title = "Schr{\"o}dinger equation with the potential V(r) = Ar-4+Br-3+Cr-2+Dr-1",

abstract = "An exact analytic solution to the stationary Schrodinger equation in two dimensions is obtained by applying a factorization ansatz to the eigenfunction. For this purpose, a two-dimensional stationary Schrodinger equation is considered with a potential depending on the distance from the origin. The restrictions on the parameters of the studied potential and the angular momentum quantum number are also presented.",

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year = "2001",

month = oct,

doi = "10.1238/Physica.Regular.064a00273",

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T1 - Schrödinger equation with the potential V(r) = Ar-4+Br-3+Cr-2+Dr-1

AU - Dong, Shi Hai

PY - 2001/10

Y1 - 2001/10

N2 - An exact analytic solution to the stationary Schrodinger equation in two dimensions is obtained by applying a factorization ansatz to the eigenfunction. For this purpose, a two-dimensional stationary Schrodinger equation is considered with a potential depending on the distance from the origin. The restrictions on the parameters of the studied potential and the angular momentum quantum number are also presented.

AB - An exact analytic solution to the stationary Schrodinger equation in two dimensions is obtained by applying a factorization ansatz to the eigenfunction. For this purpose, a two-dimensional stationary Schrodinger equation is considered with a potential depending on the distance from the origin. The restrictions on the parameters of the studied potential and the angular momentum quantum number are also presented.

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U2 - 10.1238/Physica.Regular.064a00273

DO - 10.1238/Physica.Regular.064a00273

M3 - Artículo

SN - 0031-8949

VL - 64

SP - 273

EP - 276

JO - Physica Scripta

JF - Physica Scripta

IS - 4

ER -

Schrödinger equation with the potential V(r) = Ar^-4+Br^-3+Cr^-2+Dr^-1

Abstract

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