dorsal/arxiv
View SchemaExact Solutions of the Time Dependent Schroedinger Equation in One Space Dimension
| Authors | Bodo Hamprecht |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211040 |
| URL | https://arxiv.org/abs/quant-ph/0211040 |
Abstract
A closed expression for the harmonic oscillator wave function after the passage of a linear signal with arbitrary time dependence is derived. Transition probabilities are simple to express in terms of Laguerre polynomials. Spontaneous transitions are neglected. The exact result is of some interest for the physics of short laser pulses, since it may serve as an accuracy test for numerical methods.
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"abstract": "A closed expression for the harmonic oscillator wave function after the\npassage of a linear signal with arbitrary time dependence is derived.\nTransition probabilities are simple to express in terms of Laguerre\npolynomials. Spontaneous transitions are neglected. The exact result is of some\ninterest for the physics of short laser pulses, since it may serve as an\naccuracy test for numerical methods.",
"arxiv_id": "quant-ph/0211040",
"authors": [
"Bodo Hamprecht"
],
"categories": [
"quant-ph"
],
"title": "Exact Solutions of the Time Dependent Schroedinger Equation in One Space Dimension",
"url": "https://arxiv.org/abs/quant-ph/0211040"
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