Test of the adiabatic approximation in quantum mechanics: Forced harmonic oscillator
作者:
Y. Nogami,
期刊:
American Journal of Physics
(AIP Available online 1991)
卷期:
Volume 59,
issue 1
页码: 64-68
ISSN:0002-9505
年代: 1991
DOI:10.1119/1.16689
出版商: American Association of Physics Teachers
关键词: ADIABATIC APPROXIMATION;QUANTUM MECHANICS;HARMONIC OSCILLATORS;TIME DEPENDENCE;HAMILTONIANS
数据来源: AIP
摘要:
The accuracy of the adiabatic approximation in quantum mechanics is examined by applying it to the forced harmonic oscillator for which the time‐dependent Schrödinger equation can be solved exactly. Nonadiabatic transitions caused by the external force that varies in time is focused on. A peculiar situation is illustrated such that, no matter how rapid and large the variation of the external force may be, all nonadiabatic transitions vanish exactly ast→∞.
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