GENERALIZED DEFORMED OSCILLATOR AND NONLINEAR ALGEBRAS

被引：179
作者：
DASKALOYANNIS, C
机构：
[1] Dept. of Theor. Phys., Thessaloniki Univ.
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 15期
关键词：
D O I：
10.1088/0305-4470/24/15/001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The harmonic oscillator is deformed arbitrarily and the properties of the deformed oscillator algebra are studied. The eigenstates and eigenvalues of the deformed oscillator are calculated. This generalized deformed oscillator algebra is used to create nonlinear deformation of the classical SU(2) algebra. The deformed boson realizations of an arbitrary nonlinear SU(2) algebra are calculated. The algebra of the q-deformed oscillator is a special case of the generalized deformed oscillator algebra.
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页码：L789 / L794
页数：6
相关论文
共 6 条
[1]   THE QUANTUM GROUP SUQ(2) AND A Q-ANALOGUE OF THE BOSON OPERATORS [J].
BIEDENHARN, LC .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (18) :L873-L878
[2]  
Kulish P. P., 1983, J SOVIET MATH, V23, P2435
[3]   ON Q-ANALOGUES OF THE QUANTUM HARMONIC-OSCILLATOR AND THE QUANTUM GROUP SU(2)Q [J].
MACFARLANE, AJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (21) :4581-4588
[4]   A CLASSICAL REALIZATION OF QUANTUM ALGEBRAS [J].
POLYCHRONAKOS, AP .
MODERN PHYSICS LETTERS A, 1990, 5 (28) :2325-2333
[5]   REPRESENTATION-THEORY OF THE NONLINEAR SU(2) ALGEBRA [J].
ROCEK, M .
PHYSICS LETTERS B, 1991, 255 (04) :554-557
[6]   Q-ANALOG OF BOSON COMMUTATOR AND THE QUANTUM GROUPS SUQ(2) AND SUQ(1,1) [J].
UI, H ;
AIZAWA, N .
MODERN PHYSICS LETTERS A, 1990, 5 (04) :237-242
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