Unitary transformations depending on a small parameter
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Títol
Unitary transformations depending on a small parameterData de publicació
2012Editor
Royal Society, TheISSN
1364-5021; 1471-2946Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.gicas.uji.es/Fernando/MyPapers/PRSA2011.pdfVersió
info:eu-repo/semantics/acceptedVersionParaules clau / Matèries
Resum
We formulate a unitary perturbation theory for quantum mechanics inspired by the LieDeprit formulation of canonical transformations. The original Hamiltonian is converted
into a solvable one by a transformation ... [+]
We formulate a unitary perturbation theory for quantum mechanics inspired by the LieDeprit 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. [-]
Publicat a
Proc. R. Soc. A March 8, 2012 468 2139Drets d'accés
This journal is © 2011 The Royal Society
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