A New Proof for the Harmonic-Potential Theorem

We investigate the time evolution of the wave function for a many-particle system in an external harmonic potential and a spatially homogeneous time-dependent driving field. The time-dependent wave function is found to be a phase factor times the shifted initial state wave function. This then provid...

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Bibliographic Details
Published inChinese physics letters Vol. 30; no. 2; pp. 20303 - 1-020303-4
Main Authors Chen, Jin-Wang, Yang, Tao, Pan, Xiao-Yin
Format Journal Article
LanguageEnglish
Published 01.02.2013
Subjects
Evolution
Harmonics
Particles
Proving
Theorems
Wave functions
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Summary:We investigate the time evolution of the wave function for a many-particle system in an external harmonic potential and a spatially homogeneous time-dependent driving field. The time-dependent wave function is found to be a phase factor times the shifted initial state wave function. This then provides a new proof of the harmonic-potential theorem.
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ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/30/2/020303