The structure of semiclassical asymptotic expansions of antisymmetric solutions of the stationary Schrodinger equation

被引：0

作者：

Ruuge, AE ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow 117234, Russia

来源：

MATHEMATICAL NOTES | 2000年 / 67卷 / 1-2期

关键词：

many-particle Schrodinger equation; fermion; ground state; semiclassical asymptotics;

D O I：

10.1007/BF02686248

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the semiclassical asymptotics of eigenfunctions for the Hamiltonian of a quantum-mechanical system of N identical fermions with d degrees of freedom without spin interaction. In the one-dimensional case (d = 1), examples are known in which the ground antisymmetric state in the semiclassical limit is the product of N(N - 1)/2 two-particle wave functions. We construct a nontrivial generalization of this property for d > 1.

引用

页码：207 / 217

页数：11