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

被引：0
|
作者：
A. É. Ruuge
机构：
[1] M. V. Lomonosov Moscow State University,
来源：
Mathematical Notes | 2000年 / 67卷
关键词：
many-particle Schrödinger equation; fermion; ground state; semiclassical asymptotics;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the semiclassical asymptotics of eigenfunctions for the Hamiltonian of a quantum-mechanical system ofN identical fermions withd 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 ofN(N−1)/2 two-particle wave functions. We construct a nontrivial generalization of this property ford>1.
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页码：207 / 217
页数：10
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