SOME MULTIDIMENSIONAL INTEGRALS RELATED TO MANY-BODY SYSTEMS WITH THE 1/R2 POTENTIAL

被引:21
作者
FORRESTER, PJ
机构
[1] Dept. of Math., La Trobe Univ., Bundoora, Vic.
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1992年 / 25卷 / 10期
关键词
D O I
10.1088/0305-4470/25/10/001
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An N-dimensional integral evaluated by K Aomoto is shown to represent the density matrix for an impurity particle in the 1/r2 quantum many-body problem on a line. The value of the N-dimensional integral representing the same density matrix in periodic boundary conditions is conjectured, as is the value of an N-dimensional integral which represents a two-point correlation function in the system. Also, the partition function of a related classical Hamiltonian is evaluated by formulating a conjecture which asserts that the sum of Jacobians of a certain change of variables in N-dimensions is a constant.
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页码:L607 / L614
页数:8
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