On the two-dimensional harmonic oscillator with an electric field confined to a circular box

被引：0

作者：

Fernandez, Francisco M. ^{[1
]}

Garcia, Javier ^{[2
,3
]}

Aquino, Norberto ^{[4
]}

Flores-Riveros, Antonio ^{[5
]}

机构：

[1] INIFTA, DQT, Sucursal 4,CC 16, RA-1900 La Plata, Argentina

[2] Univ Nacl La Plata, Consejo Nacl Invest Cient & Tecn, Inst Fis La Plata, CC 67, RA-1900 La Plata, Argentina

[3] Univ Nacl La Plata, Dept Fis, CC 67, RA-1900 La Plata, Argentina

[4] Univ Autonoma Metropolitana Iztapalapa, Dept Fis, Ave Ferrocarril San Rafael Atlixco 186, Cd Mexico 09310, Mexico

[5] Benemerita Univ Autonoma Puebla, Inst Fis, Ave San Claudio & Blvd 18 Sur, Puebla 72570, Pue, Mexico

来源：

PHYSICA SCRIPTA | 2024年 / 99卷 / 12期

关键词：

confined harmonic oscillator; electric field; Rayleigh-Ritz method; perturbation theory;

D O I：

10.1088/1402-4896/ad921f

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We revisit the quantum-mechanical two-dimensional harmonic oscillator with an electric field confined to a circular box of impenetrable walls. In order to obtain the energy spectrum we resort to the Rayleigh-Ritz method with polynomial and Gaussian basis sets. We compare present results with those derived recently by other authors. We discuss the limits of large and small box radius and also do some calculations with perturbation theory.

引用

页数：8

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