dorsal/arxiv
View SchemaOn the dynamics of noncanonically coupled oscillators and its hidden superstructure
| Authors | Denis V. Juriev |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9503003 |
| URL | https://arxiv.org/abs/solv-int/9503003 |
Abstract
The classical and quantum dynamics of the noncanonically coupled oscillators is considered. It is shown that though the classical dynamics is well--defined for both harmonic and anharmonic oscillators, the quantum one is well--defined in the harmonic case, admits a hidden (super)Hamiltonian formulation, and thus, preserves the initial operator relations, whereas a na\"\i ve quantization of the anharmonic case meets with principal difficulties.
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"abstract": "The classical and quantum dynamics of the noncanonically coupled oscillators\nis considered. It is shown that though the classical dynamics is well--defined\nfor both harmonic and anharmonic oscillators, the quantum one is well--defined\nin the harmonic case, admits a hidden (super)Hamiltonian formulation, and thus,\npreserves the initial operator relations, whereas a na\\\"\\i ve quantization of\nthe anharmonic case meets with principal difficulties.",
"arxiv_id": "solv-int/9503003",
"authors": [
"Denis V. Juriev"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "On the dynamics of noncanonically coupled oscillators and its hidden superstructure",
"url": "https://arxiv.org/abs/solv-int/9503003"
},
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