The finite radial oscillator model, introduced in [J. Phys.A34, 9399–9415 (2001)], is based on the precontracted dynamical algebra so4, consisting of two position and two momentum operators, total mode number and angular momentum, all with a finite number of eigenvalues. We examine the contraction of this model to the ordinary radial quantum oscillator as the number and density of points increase. This is done on the level of the dynamical algebra, of the Schrödinger difference equation, and of the wave functions.
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Atakishiyev et al. (2003) studied this question.
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