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

被引：10

作者：

Laroze, D ^{[1
]}

Rivera, R ^{[1
]}

机构：

[1] Pontificia Univ Catol Valparaiso, Inst Fis, Valparaiso, Chile

来源：

PHYSICS LETTERS A | 2006年 / 355卷 / 4-5期

关键词：

time-dependent problems; quantum mechanics; exact solution; caustics;

D O I：

10.1016/j.physleta.2006.03.002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：348 / 351

页数：4

共 50 条

[1] Exact quantum theory of noninteracting electrons with time-dependent effective mass in a time-dependent magnetic field
Choi, JR
JOURNAL OF PHYSICS-CONDENSED MATTER, 2003, 15 (06) : 823 - 832
[2] An exact, time-dependent analytical solution for the magnetic field in the inner heliosheath
Roeken, Christian
Kleimann, Jens
Fichtner, Horst
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2022, 55 (49)
[3] Exact solution of the L-S coupled system in a time-dependent magnetic field
Wang, SJ
Cen, LX
PHYSICAL REVIEW A, 1998, 58 (04): : 3328 - 3331
[4] Exact solution of the time-dependent harmonic plus an inverse harmonic potential with a time-dependent electromagnetic field
Yüce, C
ANNALS OF PHYSICS, 2003, 308 (02) : 599 - 604
[5] Coherent absorption of energy by electrons in a time-dependent oscillating magnetic field
Ferrari, L
PHYSICAL REVIEW B, 1998, 57 (10): : 5764 - 5771
[6] Exact solution of the time-dependent Dirac equation
Hua, G
ACTA PHYSICA SINICA, 1999, 48 (06) : 983 - 986
[7] An exact time-dependent interior Schwarzschild solution
Beltracchi, Philip
Gondolo, Paolo
PHYSICAL REVIEW D, 2019, 99 (08)
[8] Exact solution of the time-dependent Dirac equation
Guo, Hua
Wuli Xuebao/Acta Physica Sinica, 1999, 48 (06):
[9] ANGULAR-MOMENTUM PROBLEM AND MAGNETIC BRAKING - EXACT, TIME-DEPENDENT SOLUTION
MOUSCHOVIAS, TC
PALEOLOGOU, EV
ASTROPHYSICAL JOURNAL, 1979, 230 (01): : 204 - 222
[10] Formal exact solution for the Heisenberg spin system in a time-dependent magnetic field and Aharonov-Anandan phase
Yan, FL
Yang, LG
Li, BZ
PHYSICS LETTERS A, 1999, 251 (05) : 289 - 293

← 1 2 3 4 5 →