On the exact solutions of the Lipkin-Meshkov-Glick model

被引：12
|
作者：
Debergh, N [1 ]
Stancu, F
机构：
[1] Univ Liege, Inst Phys B5, B-4000 Liege 1, Belgium
[2] ECT, I-38050 Trent, Italy
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 15期
关键词：
D O I：
10.1088/0305-4470/34/15/305
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present the many-particle Hamiltonian model of Lipkin, Meshkov and Glick in the context of deformed polynomial algebras and show chat its exact solutions can be easily and naturally obtained within this formalism. The Hamiltonian matrix of each j multiplet can be split into two submatrices associated with two distinct irreps of the deformed algebra. Their invariant subspaces correspond to even and odd numbers of particle-hole excitations.
引用
收藏
页码：3265 / 3276
页数：12
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