Exact solution of a many body problem with nearest and next-nearest neighbour interactions

被引：5
|
作者：
Basu-Mallick, B [1 ]
Kundu, A [1 ]
机构：
[1] Saha Inst Nucl Phys, Theory Grp, Kolkata 700064, W Bengal, India
来源：
PHYSICS LETTERS A | 2001年 / 279卷 / 1-2期
关键词：
D O I：
10.1016/S0375-9601(00)00816-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Recently, a partially solvable many-body problem with nearest and next-nearest neighbour interactions is proposed [1]. We show that by adding a suitably chosen momentum dependent nearest neighbour interaction, such a model can be converted into an integrable system with Lax operator formulation and related conserved quantities. We also solve the eigenvalue problem for the model exactly and as a byproduct obtain some identities involving associated Laguerre polynomials. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：29 / 32
页数：4
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