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| Author | Casas, F.; Oteo, J.A.; Ros, J. | ||||
| Title | Unitary transformations depending on a small parameter | Type | Journal Article | ||
| Year | 2012 | Publication | Proceedings of the Royal Society A | Abbreviated Journal | Proc. R. Soc. A |
| Volume | 468 | Issue | 2139 | Pages | 685-700 |
| Keywords | perturbation theory; quantum mechanics; unitary transformation; Magnus expansion | ||||
| Abstract | We formulate a unitary perturbation theory for quantum mechanics inspired by the Lie-Deprit formulation of canonical transformations. The original Hamiltonian is converted into a solvable one by a transformation obtained through a Magnus expansion. This ensures unitarity at every order in a small parameter. A comparison with the standard perturbation theory is provided. We work out the scheme up to order ten with some simple examples. | ||||
| Address | [Oteo, J. A.; Ros, J.] Univ Valencia, Dept Fis Teor, E-46100 Valencia, Spain, Email: rosj@uv.es | ||||
| Corporate Author | Thesis | ||||
| Publisher | Royal Soc | Place of Publication | Editor | ||
| Language | English | Summary Language | Original Title | ||
| Series Editor | Series Title | Abbreviated Series Title | |||
| Series Volume | Series Issue | Edition | |||
| ISSN | 1364-5021 | ISBN | Medium | ||
| Area | Expedition | Conference | |||
| Notes | WOS:000300185400005 | Approved | no | ||
| Is ISI | yes | International Collaboration | no | ||
| Call Number | IFIC @ pastor @ | Serial | 893 | ||
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