O(2, 1) and the Harmonic Oscillator Radial Function
- 1 June 1971
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 12 (6) , 953-957
- https://doi.org/10.1063/1.1665687
Abstract
The radial functions of the three‐dimensional isotropic harmonic oscillator are shown to form bases for unitary representations of the noncompact group O(2, 1). The functions rs are shown to transform simply under the action of the generators of this group. As a result, matrix elements of rs can easily be evaluated. Selection rules on these matrix elements are obtained by studying Kronecker products of representations of O(2, 1).Keywords
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