Quantum algebraic structures compatible with the harmonic oscillator Newton equation

被引：48

作者：

Arik, M ^{[1
]}

Atakishiyev, NM

Wolf, KB

机构：

[1] Bogazici Univ, Dept Phys, Istanbul, Turkey

[2] Univ Nacl Autonoma Mexico, Inst Matemat, Cuernavaca 62191, Morelos, Mexico

[3] Univ Nacl Autonoma Mexico, Ctr Ciencias Fis, Cuernavaca 62191, Morelos, Mexico

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1999年 / 32卷 / 33期

关键词：

D O I：

10.1088/0305-4470/32/33/101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study some of the algebraic structures that are compatible with the quantization of the harmonic oscillator through its Newton equation. Examples of such structures are given; they include undeformed and q-deformed oscillators, as well as the SU(2) and the deformed SUq(2) Lie algebras, which appear in a variety of physical models.

引用

收藏

页码：L371 / L376

页数：6

相关论文

共 23 条

[1] FIBONACCI OSCILLATORS [J].

ARIK, M ;

DEMIRCAN, E ;

TURGUT, T ;

EKINCI, L ;

MUNGAN, M .

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1992, 55 (01) :89-95

[2] Q-OSCILLATORS, THE Q-EPSILON TENSOR AND QUANTUM GROUPS [J].

ARIK, M ;

UNEL, G ;

MUNGAN, M .

PHYSICS LETTERS B, 1994, 321 (04) :385-389

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

ARIK, M ;

COON, DD ;

LAM, YM .

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

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

ARIK, M ;

COON, DD .

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

[5] A REALIZATION OF THE Q-HARMONIC OSCILLATOR [J].

ATAKISHIEV, NM ;

SUSLOV, SK .

THEORETICAL AND MATHEMATICAL PHYSICS, 1991, 87 (01) :442-444

[6] Wigner distribution function for finite systems [J].

Atakishiyev, NM ;

Chumakov, SM ;

Wolf, KB .

JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (12) :6247-6261

[7] A SIMPLE DIFFERENCE REALIZATION OF THE HEISENBERG Q-ALGEBRA [J].

ATAKISHIYEV, NM ;

FRANK, A ;

WOLF, KB .

JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (07) :3253-3260

[8]

ATAKISHIYEV NM, 1994, REV MEX FIS, V40, P366

[9] Fractional Fourier-Kravchuk transform [J].

Atakishiyev, NM ;

Wolf, KB .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1997, 14 (07) :1467-1477

[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