Is Dirichlet the physical boundary condition for the one-dimensional hydrogen atom?

被引：9

作者：

de Oliveira, Cesar R. ^{[1
]}

机构：

[1] Univ Fed Sao Carlos, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil

来源：

PHYSICS LETTERS A | 2010年 / 374卷 / 28期

关键词：

Hydrogen atom; Self-adjoint extensions; Dirichlet boundary condition; Dimensional reduction; KLEIN-GORDON EQUATION; SINGULAR POTENTIALS; SPACE; PENETRABILITY; IONIZATION; INSULATORS; SYSTEMS;

D O I：

10.1016/j.physleta.2010.04.074

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is argued that Dirichlet is the physical boundary condition at the origin for the one-dimensional hydrogen atom: The three-dimensional hydrogen atom is confined to a tube, and the limit as the diameter of the tube cross section goes to zero is taken. It is shown that the energy expectations are finite only in case of Dirichlet boundary condition. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：2805 / 2808

页数：4

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