Exact Solutions to Schrödinger Equation for a Charged Particle on a Torus in Uniform Electric and Magnetic Fields

被引：0

作者：

Alexandre G. M. Schmidt

机构：

[1] Instituto de Ciências Exatas — Universidade Federal Fluminense,Departamento de Física de Volta Redonda

来源：

Brazilian Journal of Physics | 2020年 / 50卷

关键词：

Schrödinger equation in curved surface; Hill equation; Torus surface; Exact solutions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We present exact solutions of the Schrödinger equation for a charged particle constrained to move along a toroidal surface in the presence of uniform electric and magnetic fields.

引用

页码：419 / 429

页数：10

共 50 条

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[J]. BRAZILIAN JOURNAL OF PHYSICS, 2020, 50 (04) : 419 - 429
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[3] Exact solutions of the nonstationary Schrödinger equation
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[J]. Theoretical and Mathematical Physics, 1999, 121 : 1700 - 1700
[4] Exact solutions of the nonstationary Schrödinger equation
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[J]. Theoretical and Mathematical Physics, 1998, 115 : 687 - 693
[5] Exact solution to the classical equation of motion for a charged particle in external electric and magnetic fields
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Donkov, AD
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[8] Exact solutions of the Schrödinger equation for zero energy
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[J]. The European Physical Journal D, 2009, 53 : 41 - 50
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[10] Darboux transformation and elementary exact solutions of the Schrödinger equation
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