Novel correlations in two dimensions: Some exact solutions

被引：25
|
作者：
Murthy, MVN
Bhaduri, RK
Sen, D
机构：
[1] INST MATH SCI,MADRAS 600113,TAMIL NADU,INDIA
[2] INDIAN INST SCI,BANGALORE 560012,KARNATAKA,INDIA
来源：
PHYSICAL REVIEW LETTERS | 1996年 / 76卷 / 22期
关键词：
MANY-BODY PROBLEM; HEISENBERG CHAIN; GROUND-STATE; SPECTRUM; EXCHANGE; ANYONS; THERMODYNAMICS;
D O I：
10.1103/PhysRevLett.76.4103
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We construct a new many-body Hamiltonian with two- and three-body interactions in two space dimensions and obtain its exact many-body ground state for an arbitrary number of particles. This ground state has a novel pairwise correlation. A class of exact solutions for the excited states is also found. These excited states display an energy spectrum similar to the Calogero-Sutherland model in one dimension. The model reduces to an analog of the well-known trigonometric Sutherland model when projected on to a circular ring.
引用
收藏
页码：4103 / 4106
页数：4
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