Geometric bounds of energy of many-particle quantum-mechanical systems

被引：0
|
作者：
T. K. Rebane
机构：
[1] St. Petersburg State University,Physical Faculty
来源：
Optics and Spectroscopy | 2011年 / 110卷
关键词：
Ground State Energy; Energy Operator; Equilateral Triangle; Energy Bound; Variational Calcula;
D O I：
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中图分类号：
学科分类号：
摘要：
The energy bounds are constructed for the ground state of many-particle Coulomb and gravitational systems using the method of a model Schrödinger equation for a correlated exponential wave function. The method is based on geometric inequalities for average values of cosines of the angles of the triangles formed by triples of particles and does not require calculations of the wave functions. Two-sided energy bounds for an n-particle gravitational system are derived by using this method.
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