Issue |
Europhys. Lett.
Volume 64, Number 5, December 2003
|
|
---|---|---|
Page(s) | 586 - 591 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i2003-00617-9 | |
Published online | 01 November 2003 |
Interdimensional degeneracies
for a quantum N-body system in
dimensions
1
CCAST (World Laboratory) - P.O. Box 8730, Beijing 100080, PRC
2
Institute of High Energy Physics - Beijing 100039, PRC
Corresponding authors: guxy@mail.ihep.ac.cn mazq@sun.ihep.ac.cn sunjq@mail.ihep.ac.cn
Received:
28
April
2003
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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