dorsal/arxiv
View SchemaHeisenberg picture approach to the invariants and the exact quantum motions for coupled parametric oscillators
| Authors | Jeong-Young Ji, Jongbae Hong |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9808003 |
| URL | https://arxiv.org/abs/quant-ph/9808003 |
| DOI | 10.1088/0305-4470/31/39/002 |
| Journal | J.Phys. A31 (1998) L689-L693 |
Abstract
For $N$-coupled generalized time-dependent oscillators, primary invariants and a generalized invariant are found in terms of classical solutions. Exact quantum motions satisfying the Heisenberg equation of motion are also found. For number states and coherent states of the generalized invariant, the uncertainties in positions and momenta are obtained.
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"abstract": "For $N$-coupled generalized time-dependent oscillators, primary invariants\nand a generalized invariant are found in terms of classical solutions. Exact\nquantum motions satisfying the Heisenberg equation of motion are also found.\nFor number states and coherent states of the generalized invariant, the\nuncertainties in positions and momenta are obtained.",
"arxiv_id": "quant-ph/9808003",
"authors": [
"Jeong-Young Ji",
"Jongbae Hong"
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"doi": "10.1088/0305-4470/31/39/002",
"journal_ref": "J.Phys. A31 (1998) L689-L693",
"title": "Heisenberg picture approach to the invariants and the exact quantum motions for coupled parametric oscillators",
"url": "https://arxiv.org/abs/quant-ph/9808003"
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