FIBONACCI OSCILLATORS

被引：89

作者：

ARIK, M

DEMIRCAN, E

TURGUT, T

EKINCI, L

MUNGAN, M

机构：

[1] UNIV TEXAS, DEPT PHYS, AUSTIN, TX 78712 USA

[2] BOGAZICI UNIV, DEPT PHYS, ISTANBUL, TURKEY

来源：

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS | 1992年 / 55卷 / 01期

关键词：

D O I：

10.1007/BF01558292

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We discuss the properties of oscillators whose spectrum is given by a generalized Fibonacci sequence. The properties include: invariance under the unitary quantum group, generalized angular momentum, coherent states and difference calculus, relativistic interpretation.

引用

页码：89 / 95

页数：7

共 26 条

[1] THE Q-DIFFERENCE OPERATOR, THE QUANTUM HYPERPLANE, HILBERT-SPACES OF ANALYTIC-FUNCTIONS AND Q-OSCILLATORS [J].

ARIK, M .

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1991, 51 (04) :627-632

[2] OPERATOR ALGEBRA OF DUAL RESONANCE MODELS [J].

ARIK, M ;

COON, DD ;

LAM, YM .

JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (09) :1776-1779

[3] HILBERT SPACES OF ANALYTIC-FUNCTIONS AND GENERALIZED COHERENT STATES [J].

ARIK, M ;

COON, DD .

JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (04) :524-527

[4]

ARIK M, 1991, IN PRESS PHYS LETT B

[5]

Bicknell M., 1972, PRIMER FIBONACCI NUM

[6] 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

[7] 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

[8]

BRODIMAS G, 1991, 820 U ROM PREPR

[9] QUANTUM LIE-SUPERALGEBRAS AND Q-OSCILLATORS [J].

CHAICHIAN, M ;

KULISH, P .

PHYSICS LETTERS B, 1990, 234 (1-2) :72-80

[10] A (P, Q)-OSCILLATOR REALIZATION OF 2-PARAMETER QUANTUM ALGEBRAS [J].

CHAKRABARTI, R ;

JAGANNATHAN, R .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (13) :L711-L718

← 1 2 3 →