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International Journal of Modern Physics E

ALGEBRAIC APPROACH TO THE PSEUDOHARMONIC OSCILLATOR IN 2D

Shi‐Hai Dong, Zhong-Qi Ma

Published Apr 1, 2002• 50 citations
Publisher

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
DOI
10.1142/s0218301302000752

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