dorsal/arxiv
View SchemaPath integral for a pair of time-dependent coupled and driven oscillators
| Authors | F. Benamira, L. Guechi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112003 |
| URL | https://arxiv.org/abs/quant-ph/0112003 |
| DOI | 10.1023/A:1025931630841 |
| Journal | Czech. J. Phys. 53 No 9 (2003) 717-726 |
Abstract
The propagator for a certain class of two time-dependent coupled and driven harmonic oscillators with time-varying angular frequencies and masses is evaluated by path integration. This is simply done through suitably chosen generalized canonical transformations and without presupposing the knownledge of any auxiliary equation. The time-dependent oscillators system with an exponentially growing masses and coupling coefficient in time may be considered as particular case.
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"abstract": "The propagator for a certain class of two time-dependent coupled and driven\nharmonic oscillators with time-varying angular frequencies and masses is\nevaluated by path integration. This is simply done through suitably chosen\ngeneralized canonical transformations and without presupposing the knownledge\nof any auxiliary equation. The time-dependent oscillators system with an\nexponentially growing masses and coupling coefficient in time may be considered\nas particular case.",
"arxiv_id": "quant-ph/0112003",
"authors": [
"F. Benamira",
"L. Guechi"
],
"categories": [
"quant-ph"
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"doi": "10.1023/A:1025931630841",
"journal_ref": "Czech. J. Phys. 53 No 9 (2003) 717-726",
"title": "Path integral for a pair of time-dependent coupled and driven oscillators",
"url": "https://arxiv.org/abs/quant-ph/0112003"
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