dorsal/arxiv
View SchemaWave-packet trains of a time-dependent harmonic oscillator
| Authors | Wenhua Hai, Shengxun Huang, Kelin Gao |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301156 |
| URL | https://arxiv.org/abs/quant-ph/0301156 |
Abstract
By 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.
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"date_created": "2026-03-02T18:01:55.596000Z",
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"abstract": "By using a test-function method, we construct $n$ exact solutions of a\nquantum harmonic oscillator with a time-dependent \"spring constant\". Any $n$-th\nsolution describes a wave-packet train consisting of $n+1$ packets. Its center\noscillates like the classically harmonic oscillator with variable frequency,\nand width and highness of each packet change simultaneously. When the\ndeformation is small, it behaves like a soliton train, and the large\ndeformation is identified with collapse and revival of the wave-packet train.",
"arxiv_id": "quant-ph/0301156",
"authors": [
"Wenhua Hai",
"Shengxun Huang",
"Kelin Gao"
],
"categories": [
"quant-ph"
],
"title": "Wave-packet trains of a time-dependent harmonic oscillator",
"url": "https://arxiv.org/abs/quant-ph/0301156"
},
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