GENERALIZED HARMONIC-OSCILLATOR SYSTEMS AND THEIR FOCK SPACE DESCRIPTION

被引：73

作者：

BRZEZINSKI, T ^{[1
]}

EGUSQUIZA, IL ^{[1
]}

MACFARLANE, AJ ^{[1
]}

机构：

[1] UNIV PARIS 06,UNIV PARIS 07,PHYS THEOR & HAUTES ENERGIES LAB,F-75251 PARIS 05,FRANCE

来源：

PHYSICS LETTERS B | 1993年 / 311卷 / 1-4期

关键词：

D O I：

10.1016/0370-2693(93)90555-V

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We describe a new generalisation of the quantum harmonic oscillator, which involves a deformation parameter q and a modification parameter nu, and its Fock space F(q,nu). We discuss spectrum generating algebras and hidden supersymmetry properties of F(q,nu) and of various limiting cases, such as the Calogero model.

引用

页码：202 / 206

页数：5

共 16 条

[1]

[Anonymous], GENERALIZED COHERENT

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

ARIK, M ;

COON, DD .

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

[3]

BIEDENHARN LC, 1989, J PHYS A, V22, pA6873

[4] EXPLICIT SOLUTION TO THE N-BODY CALOGERO PROBLEM [J].

BRINK, L ;

HANSSON, TH ;

VASILIEV, MA .

PHYSICS LETTERS B, 1992, 286 (1-2) :109-111

[5]

BRINK L, 1992, USITP9214 PREPR

[6] SOLUTION OF A 3-BODY PROBLEM IN ONE DIMENSION [J].

CALOGERO, F .

JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (12) :2191-&

[7] GROUND STATE OF A ONE-DIMENSIONAL N-BODY SYSTEM [J].

CALOGERO, F .

JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (12) :2197-&

[8] SOLUTION OF ONE-DIMENSIONAL N-BODY PROBLEMS WITH QUADRATIC AND/OR INVERSELY QUADRATIC PAIR POTENTIALS [J].

CALOGERO, F .

JOURNAL OF MATHEMATICAL PHYSICS, 1971, 12 (03) :419-&

[9] SUPERSYMMETRIC QUANTUM-MECHANICS [J].

DECROMBRUGGHE, M ;

RITTENBERG, V .

ANNALS OF PHYSICS, 1983, 151 (01) :99-126

[10]

ITZYKSON C, 1967, COMMUN MATH PHYS, V4, P162

← 1 2 →