dorsal/arxiv
View SchemaParameter differentiation and quantum state decomposition for time varying Schroedinger equations
| Authors | Claudio Altafini |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201034 |
| URL | https://arxiv.org/abs/quant-ph/0201034 |
| DOI | 10.1016/S0034-4877(03)80037-X |
| Journal | Reports on Mathematical Physics, 52(3):381-400, 2003 |
Abstract
For the unitary operator, solution of the Schroedinger equation corresponding to a time-varying Hamiltonian, the relation between the Magnus and the product of exponentials expansions can be expressed in terms of a system of first order differential equations in the parameters of the two expansions. A method is proposed to compute such differential equations explicitly and in a closed form.
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"abstract": "For the unitary operator, solution of the Schroedinger equation corresponding\nto a time-varying Hamiltonian, the relation between the Magnus and the product\nof exponentials expansions can be expressed in terms of a system of first order\ndifferential equations in the parameters of the two expansions. A method is\nproposed to compute such differential equations explicitly and in a closed\nform.",
"arxiv_id": "quant-ph/0201034",
"authors": [
"Claudio Altafini"
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"doi": "10.1016/S0034-4877(03)80037-X",
"journal_ref": "Reports on Mathematical Physics, 52(3):381-400, 2003",
"title": "Parameter differentiation and quantum state decomposition for time varying Schroedinger equations",
"url": "https://arxiv.org/abs/quant-ph/0201034"
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