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

页码：29 / 32

页数：4

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