An exact solution for electrons in a time-dependent magnetic field

D. Laroze; R. Rivera

doi:10.1016/j.physleta.2006.03.002

An exact solution for electrons in a time-dependent magnetic field

D. Laroze
, R. Rivera

Pontificia Universidad Católica de Valparaíso

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

In this work we study the dynamics of electrons in presence of a uniform time-dependent magnetic field. An exact solution for the wave function time evolution is obtained when the initial state is a superposition of Landau levels. For a given time dependence of the magnetic field, the time-evolved wave function differs from the initial wave function by a dynamic phase factor.

Original language	English
Pages (from-to)	348-351
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	355
Issue number	4-5
DOIs	https://doi.org/10.1016/j.physleta.2006.03.002
State	Published - 10 Jul 2006
Externally published	Yes

Keywords

Caustics
Exact solution
Quantum mechanics
Time-dependent problems

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10.1016/j.physleta.2006.03.002

Cite this

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title = "An exact solution for electrons in a time-dependent magnetic field",

abstract = "In this work we study the dynamics of electrons in presence of a uniform time-dependent magnetic field. An exact solution for the wave function time evolution is obtained when the initial state is a superposition of Landau levels. For a given time dependence of the magnetic field, the time-evolved wave function differs from the initial wave function by a dynamic phase factor.",

keywords = "Caustics, Exact solution, Quantum mechanics, Time-dependent problems",

author = "D. Laroze and R. Rivera",

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doi = "10.1016/j.physleta.2006.03.002",

language = "English",

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AU - Laroze, D.

AU - Rivera, R.

PY - 2006/7/10

Y1 - 2006/7/10

N2 - In this work we study the dynamics of electrons in presence of a uniform time-dependent magnetic field. An exact solution for the wave function time evolution is obtained when the initial state is a superposition of Landau levels. For a given time dependence of the magnetic field, the time-evolved wave function differs from the initial wave function by a dynamic phase factor.

AB - In this work we study the dynamics of electrons in presence of a uniform time-dependent magnetic field. An exact solution for the wave function time evolution is obtained when the initial state is a superposition of Landau levels. For a given time dependence of the magnetic field, the time-evolved wave function differs from the initial wave function by a dynamic phase factor.

KW - Caustics

KW - Exact solution

KW - Quantum mechanics

KW - Time-dependent problems

UR - https://www.scopus.com/pages/publications/33646875510

U2 - 10.1016/j.physleta.2006.03.002

DO - 10.1016/j.physleta.2006.03.002

M3 - Article

AN - SCOPUS:33646875510

SN - 0375-9601

VL - 355

SP - 348

EP - 351

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 4-5

ER -

An exact solution for electrons in a time-dependent magnetic field

Abstract

Keywords

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