Bosonic realization of algebras in the Calogero model

被引：23

作者：

Jonke, L ^{[1
]}

Meljanac, S ^{[1
]}

机构：

[1] Rudjer Boskovic Inst, Div Theoret Phys, HR-10000 Zagreb, Croatia

来源：

PHYSICS LETTERS B | 2002年 / 526卷 / 1-2期

关键词：

D O I：

10.1016/S0370-2693(01)01464-2

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study an N-body Calogero model in the S-N-symmetric subspace of the positive definite Fock space. We construct a new algebra of S-N-symmetric operators represented on the symmetric Fock space, and find a natural orthogonal basis by mapping the algebra onto the Heisenberg algebra. Our main result is the bosonic realization of non-linear dynamical symmetry algebra describing the structure of degenerate levels of the Calogero model. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：149 / 156

页数：8

共 17 条

[1] 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-&

[2] On the solution of the Calogero model for distinguishable particles in the domain of intermediate statistics [J].

deVeigy, AD .

NUCLEAR PHYSICS B, 1997, 483 (03) :580-600

[3] The polynomial SU(2) symmetry algebra of the two-body Calogero model [J].

Floreanini, R ;

Lapointe, L ;

Vinet, L .

PHYSICS LETTERS B, 1996, 389 (02) :327-333

[4] Algebraic description of SN-invariant oscillator states [J].

Floreanini, R ;

Lapointe, L ;

Vinet, L .

JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (11) :5739-5761

[5] The dynamical algebra of the three-body Calogero model [J].

Floreanini, R ;

Lapointe, L ;

Vinet, L .

PHYSICS LETTERS B, 1998, 421 (1-4) :229-236

[6] Degeneracy structure of the Calogero-Sutherland model: An algebraic approach [J].

Gurappa, N ;

Panigrahi, PK ;

Srinivasan, V .

MODERN PHYSICS LETTERS A, 1998, 13 (05) :339-346

[7] Dynamical symmetry algebra of the Calogero model [J].

Jonke, L ;

Meljanac, S .

PHYSICS LETTERS B, 2001, 511 (2-4) :276-284

[8] On parastatistics defined as triple operator algebras [J].

Meljanac, S ;

Stojic, M ;

Milekovic, M .

MODERN PHYSICS LETTERS A, 1998, 13 (13) :995-1005

[9] A unified view of multimode algebras with fock-like representations [J].

Meljanac, S ;

Milekovic, M .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1996, 11 (08) :1391-1412

[10]

MELJANAC S, UNPUB EUR PHYS J

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