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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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