Quadratic algebra as a 'hidden' symmetry of the Hartmann potential
- 21 August 1991
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 24 (16) , 3887-3894
- https://doi.org/10.1088/0305-4470/24/16/024
Abstract
It is shown that operators, commuting with the Hamiltonian of the Hartmann potential form the quadratic Hahn algebra QH(3). The structure of this algebra and its finite-dimensional representations are described. An analysis of these representations is applied to obtain all the relevant physical results: energy spectrum, degree of degeneration and overlap functions.Keywords
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