dorsal/arxiv
View SchemaUnitary transformation for the system of a particle in a linear potential
| Authors | Dae-Yup Song |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211107 |
| URL | https://arxiv.org/abs/quant-ph/0211107 |
| DOI | 10.1209/epl/i2003-00419-1 |
| Journal | Europhys. Lett., 62 (5), pp 622-628 (2003) |
Abstract
A unitary operator which relates the system of a particle in a linear potential with time-dependent parameters to that of a free particle, has been given. This operator, closely related to the one which is responsible for the existence of coherent states for a harmonic oscillator, is used to find a general wave packet described by an Airy function. The kernel (propagator) and a complete set of Hermite-Gaussian type wave functions are also given.
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"abstract": "A unitary operator which relates the system of a particle in a linear\npotential with time-dependent parameters to that of a free particle, has been\ngiven. This operator, closely related to the one which is responsible for the\nexistence of coherent states for a harmonic oscillator, is used to find a\ngeneral wave packet described by an Airy function. The kernel (propagator) and\na complete set of Hermite-Gaussian type wave functions are also given.",
"arxiv_id": "quant-ph/0211107",
"authors": [
"Dae-Yup Song"
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"doi": "10.1209/epl/i2003-00419-1",
"journal_ref": "Europhys. Lett., 62 (5), pp 622-628 (2003)",
"title": "Unitary transformation for the system of a particle in a linear potential",
"url": "https://arxiv.org/abs/quant-ph/0211107"
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