An algebraic approach to the ring-shaped non-spherical oscillator

Shi Hai Dong; Guo Hua Sun; M. Lozada-Cassou

doi:10.1016/j.physleta.2004.06.037

An algebraic approach to the ring-shaped non-spherical oscillator

Shi Hai Dong, Guo Hua Sun, M. Lozada-Cassou

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

67 Scopus citations

Abstract

The eigenfunctions and eigenvalues of the Schrödinger equation with a ring-shaped non-spherical oscillator are obtained. A realization of the ladder operators for the radial wave functions is studied. It is found that these operators satisfy the commutation relations of an SU(1,1) group. The closed analytical expressions for the matrix elements of different functions ρ and ρddρ with ρ=r² are evaluated.

Original language	English
Pages (from-to)	299-305
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	328
Issue number	4-5
DOIs	https://doi.org/10.1016/j.physleta.2004.06.037
State	Published - 2 Aug 2004
Externally published	Yes

Keywords

02.20.Qs
03.65.Fd
03.65.Ge
Ladder operators
Matrix elements
Ring-shaped non-spherical oscillator
SU(1,1) group

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10.1016/j.physleta.2004.06.037

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title = "An algebraic approach to the ring-shaped non-spherical oscillator",

abstract = "The eigenfunctions and eigenvalues of the Schr{\"o}dinger equation with a ring-shaped non-spherical oscillator are obtained. A realization of the ladder operators for the radial wave functions is studied. It is found that these operators satisfy the commutation relations of an SU(1,1) group. The closed analytical expressions for the matrix elements of different functions ρ and ρddρ with ρ=r2 are evaluated.",

keywords = "02.20.Qs, 03.65.Fd, 03.65.Ge, Ladder operators, Matrix elements, Ring-shaped non-spherical oscillator, SU(1,1) group",

author = "Dong, {Shi Hai} and Sun, {Guo Hua} and M. Lozada-Cassou",

note = "Funding Information: One of the authors (S.-H. Dong) would like to thank Prof. Chang-Yuan Chen for sending their work [14] . This work is partially supported by CONACyT, Mexico, under projects L007E and C086A.",

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doi = "10.1016/j.physleta.2004.06.037",

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TY - JOUR

T1 - An algebraic approach to the ring-shaped non-spherical oscillator

AU - Dong, Shi Hai

AU - Sun, Guo Hua

AU - Lozada-Cassou, M.

N1 - Funding Information: One of the authors (S.-H. Dong) would like to thank Prof. Chang-Yuan Chen for sending their work [14] . This work is partially supported by CONACyT, Mexico, under projects L007E and C086A.

PY - 2004/8/2

Y1 - 2004/8/2

N2 - The eigenfunctions and eigenvalues of the Schrödinger equation with a ring-shaped non-spherical oscillator are obtained. A realization of the ladder operators for the radial wave functions is studied. It is found that these operators satisfy the commutation relations of an SU(1,1) group. The closed analytical expressions for the matrix elements of different functions ρ and ρddρ with ρ=r2 are evaluated.

AB - The eigenfunctions and eigenvalues of the Schrödinger equation with a ring-shaped non-spherical oscillator are obtained. A realization of the ladder operators for the radial wave functions is studied. It is found that these operators satisfy the commutation relations of an SU(1,1) group. The closed analytical expressions for the matrix elements of different functions ρ and ρddρ with ρ=r2 are evaluated.

KW - 02.20.Qs

KW - 03.65.Fd

KW - 03.65.Ge

KW - Ladder operators

KW - Matrix elements

KW - Ring-shaped non-spherical oscillator

KW - SU(1,1) group

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U2 - 10.1016/j.physleta.2004.06.037

DO - 10.1016/j.physleta.2004.06.037

M3 - Artículo

SN - 0375-9601

VL - 328

SP - 299

EP - 305

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 4-5

ER -

An algebraic approach to the ring-shaped non-spherical oscillator

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Keywords

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