Volume 64, Number 5, December 2003
|Page(s)||586 - 591|
|Published online||01 November 2003|
Interdimensional degeneracies for a quantum N-body system in dimensions
CCAST (World Laboratory) - P.O. Box 8730, Beijing 100080, PRC
2 Institute of High Energy Physics - Beijing 100039, PRC
Accepted: 16 September 2003
The complete spectrum of exact interdimensional degeneracies for a quantum N-body system in D-dimensions is presented by the method of generalized spherical harmonic polynomials. In an N-body system all the states with angular momentum in dimensions are degenerate where and D are given and n is an arbitrary integer if the representation exists for the group and . There is an exceptional interdimensional degeneracy for an N-body system between the state with zero angular momentum in dimensions and the state with zero angular momentum in dimensions.
PACS: 03.65.-w – Quantum mechanics / 03.65.Ge – Solutions of wave equations: bound states / 03.65.Fd – Algebraic methods
© EDP Sciences, 2003
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