Exact diagonalization of 1D interacting spinless Fermions

被引：2

作者：

Kohler, Heiner ^{[1
]}

机构：

[1] Univ Duisburg Essen, Fak Phys, D-47057 Duisburg, Germany

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2011年 / 52卷 / 03期

关键词：

MANY-BODY PROBLEM; STATE WAVE-FUNCTION; ONE-DIMENSION; INTEGRABLE SYSTEMS; OPERATOR;

D O I：

10.1063/1.3563580

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We acquire a method of constructing an infinite set of exact eigenfunctions of 1D interacting spinless Fermionic systems. Creation and annihilation operators for the interacting system are found and thereby themany-body Hamiltonian is diagonalized. The formalism is applied to several examples. One example is the theory of Jack polynomials. For the Calogero-Moser-Sutherland Hamiltonian a direct proof is given that the asymptotic Bethe ansatz is correct. (C) 2011 American Institute of Physics. [doi:10.1063/1.3563580]

引用

页数：24

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