Effects of confinement for single-well potentials

被引：1
|
作者：
Gannot, Oran [1 ]
机构：
[1] Univ Calif Berkeley, Dept Math, Evans Hall, Berkeley, CA 94720 USA
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2016年 / 57卷 / 02期
关键词：
HYDROGEN; ATOM;
D O I：
10.1063/1.4940699
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study bound states generated by a unique potential minimum in the situation where the system is strongly confined to a bounded region containing the minimum (by imposing Dirichlet boundary conditions). In this case, the eigenvalues of the confined system differ from those of the unconfined system by an exponentially small quantity in the semiclassical limit. An asymptotic expansion for this shift is established. The formulas are evaluated explicitly for the harmonic oscillator and an application to the Coulomb potential at a fixed angular momentum is given. (C) 2016 AIP Publishing LLC.
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页数：17
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