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ALGEBRAIC APPROACH TO THE PSEUDOHARMONIC OSCILLATOR IN 2D
49
Citations
8
References
2002
Year
Spectral TheoryPseudoharmonic OscillatorPhysicsQuantum AlgebraDirac OperatorBacklund TransformationOscillation TheoryLadder OperatorsIntegrable SystemHamiltonian SystemNonlinear ResonanceCommutation Relations
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 r 2 and r∂/∂ r
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