EXACT INTEGRAL FORMULAS AND ASYMPTOTICS FOR THE CORRELATIONS IN THE 1/R(2) QUANTUM MANY-BODY SYSTEM

被引:42
作者
FORRESTER, PJ
机构
[1] Department of Mathematics, La Trobe University, Bundoora
关键词
D O I
10.1016/0375-9601(93)90661-I
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
For all even values of a dimensionless coupling, the two-particle distribution function and one-body density matrix for the ground state wave function of the 1/r2 quantum many body system are known in terms of a generalized hypergeometric function. We give an integral representation of this function which allows the large separation asymptotics to be calculated.
引用
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页码:127 / 130
页数:4
相关论文
共 17 条
[1]  
DYSON FJ, 1962, J MATH PHYS, V3, P140, DOI 10.1063/1.1703773
[2]   A CONSTANT TERM IDENTITY AND ITS RELATIONSHIP TO THE LOG-GAS AND SOME QUANTUM MANY-BODY SYSTEMS [J].
FORRESTER, PJ .
PHYSICS LETTERS A, 1992, 163 (1-2) :121-126
[3]   SELBERG CORRELATION INTEGRALS AND THE 1/R2 QUANTUM MANY-BODY SYSTEM [J].
FORRESTER, PJ .
NUCLEAR PHYSICS B, 1992, 388 (03) :671-699
[4]   ANALOGS BETWEEN A QUANTUM MANY-BODY PROBLEM AND THE LOG-GAS [J].
FORRESTER, PJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (10) :2059-2067
[5]  
FORRESTER PJ, UNPUB ADV MATH
[7]   EFFECTIVE HARMONIC-FLUID APPROACH TO LOW-ENERGY PROPERTIES OF ONE-DIMENSIONAL QUANTUM FLUIDS [J].
HALDANE, FDM .
PHYSICAL REVIEW LETTERS, 1981, 47 (25) :1840-1843
[8]  
KANEKO J, IN PRESS SIAM J MATH
[9]   FINITE-SIZE SCALING IN ONE-DIMENSIONAL QUANTUM LIQUID WITH LONG-RANGE INTERACTION [J].
KAWAKAMI, N ;
YANG, SK .
PHYSICAL REVIEW LETTERS, 1991, 67 (18) :2493-2496
[10]  
KRIVNOV VY, 1982, ZH EKSP TEOR FIZ, V55, P162