dorsal/arxiv
View SchemaEvolution of quantum systems with a scaling type of time-dependent Hamiltonians
| Authors | L. Samaj |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0212074 |
| URL | https://arxiv.org/abs/quant-ph/0212074 |
| DOI | 10.1142/S0217979202013158 |
| Journal | Int. J. Mod. Phys. B 16 (2002) 3909-3914 |
Abstract
We introduce a new class of quantum models with time-dependent Hamiltonians of a special scaling form. By using a couple of time-dependent unitary transformations, the time evolution of these models is expressed in terms of related systems with time-independent Hamiltonians. The mapping of dynamics can be performed in any dimension, for an arbitrary number of interacting particles and for any type of the scaling interaction potential. The exact solvability of a "dual" time-independent Hamiltonian automatically means the exact solvability of the original problem with model time-dependence.
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"abstract": "We introduce a new class of quantum models with time-dependent Hamiltonians\nof a special scaling form. By using a couple of time-dependent unitary\ntransformations, the time evolution of these models is expressed in terms of\nrelated systems with time-independent Hamiltonians. The mapping of dynamics can\nbe performed in any dimension, for an arbitrary number of interacting particles\nand for any type of the scaling interaction potential. The exact solvability of\na \"dual\" time-independent Hamiltonian automatically means the exact solvability\nof the original problem with model time-dependence.",
"arxiv_id": "quant-ph/0212074",
"authors": [
"L. Samaj"
],
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"quant-ph",
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],
"doi": "10.1142/S0217979202013158",
"journal_ref": "Int. J. Mod. Phys. B 16 (2002) 3909-3914",
"title": "Evolution of quantum systems with a scaling type of time-dependent Hamiltonians",
"url": "https://arxiv.org/abs/quant-ph/0212074"
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