THE QUANTUM GROUP SUQ(2) AND Q-ANALOG OF ANGULAR-MOMENTUM OPERATORS IN QUANTUM-MECHANICS

Authors
ZHANG SL DUAN YS
Citation
Sl. Zhang et Ys. Duan, THE QUANTUM GROUP SUQ(2) AND Q-ANALOG OF ANGULAR-MOMENTUM OPERATORS IN QUANTUM-MECHANICS, International journal of theoretical physics, 33(6), 1994, pp. 1229-1235
Citations number
21
Categorie Soggetti
Physics
Journal title
International journal of theoretical physics → ACNP
ISSN journal
00207748
Volume
33
Issue
6
Year of publication
1994
Pages
1229 - 1235
Database
ISI
SICI code
0020-7748(1994)33:6<1229:TQGSAQ>2.0.ZU;2-K
Abstract
We present three operators in quantum mechanics that obey the commutat ion relations of quantum group SUq(2). These operators are nonlinear c ombinations of the conventional angular momentum operators and are cal led the quantum q-analog angular momentum operators. When the quantum deformation parameter r = ln q vanishes, these quantum q-analog angula r momentum operators reduce to the usual angular momentum operators.