Wave-packet trains of a time-dependent harmonic oscillator

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dc.creatorHai, Wenhua
dc.creatorHuang, Shengxun
dc.creatorGao, Kelin
dc.date2003-01-29
dc.date.accessioned2026-07-07T06:05:59Z
dc.date.available2026-07-07T06:05:59Z
dc.descriptionBy using a test-function method, we construct $n$ exact solutions of a quantum harmonic oscillator with a time-dependent "spring constant". Any $n$-th solution describes a wave-packet train consisting of $n+1$ packets. Its center oscillates like the classically harmonic oscillator with variable frequency, and width and highness of each packet change simultaneously. When the deformation is small, it behaves like a soliton train, and the large deformation is identified with collapse and revival of the wave-packet train.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0301156
dc.identifierhttp://arxiv.org/abs/quant-ph/0301156
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90825
dc.subjectQuantum Physics
dc.titleWave-packet trains of a time-dependent harmonic oscillator
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