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
相关论文
共 50 条
  • [21] Entropy, correlations, and ordering in two dimensions
    Saija, F
    Prestipino, S
    Giaquinta, PV
    JOURNAL OF CHEMICAL PHYSICS, 2000, 113 (07): : 2806 - 2813
  • [22] Conservation laws, symmetries, and exact solutions of the classical Burgers-Fisher equation in two dimensions
    Rosa, M.
    Camacho, J. C.
    Bruzon, M. S.
    Gandarias, M. L.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 354 : 545 - 550
  • [23] Exact travelling wave solutions for a diffusion-convection equation in two and three spatial dimensions
    Elwakil, SA
    El-Labany, SK
    Zahran, MA
    Sabry, R
    COMPUTER PHYSICS COMMUNICATIONS, 2004, 158 (02) : 113 - 116
  • [24] Exact solutions in 1 +1 dimensions of the general two-velocity discrete Illner model
    Xianqing L.
    Shengwei M.
    Minshan L.
    Applied Mathematics and Mechanics, 1998, 19 (12) : 1197 - 1203
  • [25] New exact solutions of Bratu Gelfand model in two dimensions using Lie symmetry analysis
    Ali, Mohamed R.
    Ma, Wen-Xiu
    CHINESE JOURNAL OF PHYSICS, 2020, 65 : 198 - 206
  • [26] Exact Solutions of the Euler Equations for Some Two-Dimensional Incompressible Flows
    Markov, V. V.
    Sizykh, G. B.
    PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2016, 294 (01) : 283 - 290
  • [27] Exact solutions of the Euler equations for some two-dimensional incompressible flows
    V. V. Markov
    G. B. Sizykh
    Proceedings of the Steklov Institute of Mathematics, 2016, 294 : 283 - 290
  • [28] Some exact solutions of the two-dimensional Navier-Stokes equations
    Profilo, G
    Soliani, G
    Tebaldi, C
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1998, 36 (04) : 459 - 471
  • [29] Exact theory of intermediate phases in two dimensions
    Delfino, Gesualdo
    Squarcini, Alessio
    ANNALS OF PHYSICS, 2014, 342 : 171 - 194
  • [30] Directed percolation in two dimensions: An exact solution
    Chen, L. C.
    Wu, F. Y.
    DIFFERENTIAL GEOMETRY AND PHYSICS, 2006, 10 : 160 - +
12345