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

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

47 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	155-160
Número de páginas	6
Publicación	International Journal of Modern Physics E
Volumen	11
N.º	2
DOI	https://doi.org/10.1142/S0218301302000752
Estado	Publicada - 2002
Publicado de forma externa	Sí

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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.",

year = "2002",

doi = "10.1142/S0218301302000752",

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journal = "International Journal of Modern Physics E",

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AU - Dong, Shi Hai

AU - Ma, Zhong Qi

N1 - 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.

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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U2 - 10.1142/S0218301302000752

DO - 10.1142/S0218301302000752

M3 - Artículo

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VL - 11

SP - 155

EP - 160

JO - International Journal of Modern Physics E

JF - International Journal of Modern Physics E

IS - 2

ER -

Algebraic approach to the pseudoharmonic oscillator in 2D

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