On the one-dimensional Coulomb problem

被引：26

作者：

Jaramillo, Benjamin ^{[2
]}

Martinez-Y-Romero, R. P. ^{[3
]}

Nunez-Yepez, H. N. ^{[4
]}

Salas-Brito, A. L. ^{[1
]}

机构：

[1] Univ Autonoma Metropolitana Azcapotzalco, Dept Ciencias Basicas, Lab Sistemas Dinam, Coyoacan 04000, DF, Mexico

[2] Univ Guanajuato, Inst Fis, Guanajuato 37150, Mexico

[3] Univ Nacl Autonoma Mexico, Fac Ciencias, Coyoacan 04000, DF, Mexico

[4] Univ Autonoma Metropolitana Iztapalapa, Dept Fis, Iztapalapa 09340, DF, Mexico

来源：

PHYSICS LETTERS A | 2009年 / 374卷 / 02期

关键词：

One-dimensional Coulomb problem; Bound states; Supersymmetric quantum mechanics; SELF-ADJOINT EXTENSIONS; HYDROGEN-ATOM; SINGULAR POTENTIALS; QUANTUM-MECHANICS; FIELD; PHOTOIONIZATION; INSULATORS; SPACE;

D O I：

10.1016/j.physleta.2009.10.073

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyse the one-dimensional Coulomb problem (1DCP) pointing out some mistaken beliefs on it. We show that no eigenstates of even or odd parity can represent states of the system. The 1DCP exhibits a sort of spontaneous breaking of parity. We also show that a superselection rule operates in the system. Such rule explains some of its peculiarities. We build the superpotential associated to the 1DCR (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：150 / 153

页数：4

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