New exact ground states for one-dimensional quantum many-body systems

被引：7
|
作者：
Koprucki, T [1 ]
Wagner, HJ
机构：
[1] Weierstr Inst Angew Anal & Stochast, D-10117 Berlin, Germany
[2] Univ Gesamthsch Paderborn, Fachbereich Theoret Phys 6, D-33098 Paderborn, Germany
来源：
JOURNAL OF STATISTICAL PHYSICS | 2000年 / 100卷 / 3-4期
关键词：
ground state; wave functions of product type; Calogero-Sutherland systems;
D O I：
10.1023/A:1018683727464
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider one-dimensional quantum many-body systems with pair interactions in external fields and (re)investigate the conditions under which exact ground-state wave functions of product type can be found. Contrary to a claim in the literature that an exhaustive list of such systems is already known, we show that this list can still be enlarged considerably. In particular, we are able to calculate exact ground-state wave functions for a class of quantum many-body systems with Ax(-2) + Bx(2) interaction potentials and external potentials given by sixth-order polynomials.
引用
收藏
页码：779 / 790
页数：12
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