GENERALIZED DEFORMED OSCILLATOR CORRESPONDING TO THE MODIFIED POSCHL-TELLER ENERGY-SPECTRUM

被引:51
作者
DASKALOYANNIS, C
机构
[1] Dept. of Theor. Phys., Thessaloniki Univ.
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1992年 / 25卷 / 08期
关键词
D O I
10.1088/0305-4470/25/8/036
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A generalized deformed oscillator, with eigenvalues equal to the eigenvalues of the Schrodinger equation with the modified Poschl-Teller potential, is constructed. For special values of the potential depth the deformed oscillator algebra has a finite-dimensional irreducible representation. The polynomial representation and the associate deformed operations of integration and differentiation are studied. The results of this study are general and they can be applied directly to the case of the q-deformed oscillator, with q being a root of unity.
引用
收藏
页码:2261 / 2272
页数:12
相关论文
共 25 条
[1]  
AHLFORLS LV, 1975, COMPLEX ANAL, P179
[2]  
ARNAUDON D, 1991, PHYS LETT B, V251, P163
[3]   PATH INTEGRAL ON THE QUANTUM PLANE [J].
BAULIEU, L ;
FLORATOS, EG .
PHYSICS LETTERS B, 1991, 258 (1-2) :171-178
[4]   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
[5]  
BOAS RP, 1964, POLYNOMIAL EXPANSION, P70
[6]   WKB EQUIVALENT POTENTIALS FOR THE Q-DEFORMED HARMONIC-OSCILLATOR [J].
BONATSOS, D ;
DASKALOYANNIS, C ;
KOKKOTAS, K .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (15) :L795-L801
[7]   QUANTUM ALGEBRAIC DESCRIPTION OF VIBRATIONAL MOLECULAR-SPECTRA [J].
BONATSOS, D ;
RAYCHEV, PP ;
FAESSLER, A .
CHEMICAL PHYSICS LETTERS, 1991, 178 (2-3) :221-226
[8]   A Q-ANALOG OF BARGMANN SPACE AND ITS SCALAR PRODUCT [J].
BRACKEN, AJ ;
MCANALLY, DS ;
ZHANG, RB ;
GOULD, MD .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (07) :1379-1391
[9]   A CLASS OF ENTIRE FUNCTIONS [J].
BUCK, RC .
DUKE MATHEMATICAL JOURNAL, 1946, 13 (04) :541-559
[10]  
CURTRIGHT T, 1990, PHYS LETT B, V206, P343