Algebraic approach to the pseudoharmonic oscillator in 2D

Shi Hai Dong; Zhong Qi Ma

doi:10.1142/S0218301302000752

Algebraic approach to the pseudoharmonic oscillator in 2D

Shi Hai Dong, Zhong Qi Ma

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

47 Scopus citations

Abstract

A realization of the ladder operators for the solutions to the Schrödinger equation with a pseudoharmonic oscillator in 2D is presented. It is shown that those operators satisfy the commutation relations of an SU(1, 1) algebra. Closed analytical expressions are evaluated for the matrix elements of some operators r² and r∂/∂r.

Original language	English
Pages (from-to)	155-160
Number of pages	6
Journal	International Journal of Modern Physics E
Volume	11
Issue number	2
DOIs	https://doi.org/10.1142/S0218301302000752
State	Published - 2002
Externally published	Yes

Keywords

Ladder operators
Psoudoharmonic oscillator
SU(1, 1) algebra

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10.1142/S0218301302000752

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title = "Algebraic approach to the pseudoharmonic oscillator in 2D",

abstract = "A realization of the ladder operators for the solutions to the Schr{\"o}dinger equation with a pseudoharmonic oscillator in 2D is presented. It is shown that those operators satisfy the commutation relations of an SU(1, 1) algebra. Closed analytical expressions are evaluated for the matrix elements of some operators r2 and r∂/∂r.",

keywords = "Ladder operators, Psoudoharmonic oscillator, SU(1, 1) algebra",

author = "Dong, {Shi Hai} and Ma, {Zhong Qi}",

note = "Funding Information: S.-H. Dong would like to thank Prof. A. Frank for the hospitality shown at UNAM. This work is supported by CONACyT, Mexico, under project 32397-E and the National Natural Science Foundation of China.",

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AU - Ma, Zhong Qi

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PY - 2002

Y1 - 2002

N2 - A realization of the ladder operators for the solutions to the Schrödinger equation with a pseudoharmonic oscillator in 2D is presented. It is shown that those operators satisfy the commutation relations of an SU(1, 1) algebra. Closed analytical expressions are evaluated for the matrix elements of some operators r2 and r∂/∂r.

AB - A realization of the ladder operators for the solutions to the Schrödinger equation with a pseudoharmonic oscillator in 2D is presented. It is shown that those operators satisfy the commutation relations of an SU(1, 1) algebra. Closed analytical expressions are evaluated for the matrix elements of some operators r2 and r∂/∂r.

KW - Ladder operators

KW - Psoudoharmonic oscillator

KW - SU(1, 1) algebra

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DO - 10.1142/S0218301302000752

M3 - Artículo

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SP - 155

EP - 160

JO - International Journal of Modern Physics E

JF - International Journal of Modern Physics E

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ER -

Algebraic approach to the pseudoharmonic oscillator in 2D

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Keywords

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