|   | 
Details
   web
Records
Author (up) Blanes, S.; Casas, F.; Oteo, J.A.; Ros, J.
Title A pedagogical approach to the Magnus expansion Type Journal Article
Year 2010 Publication European Journal of Physics Abbreviated Journal Eur. J. Phys.
Volume 31 Issue 4 Pages 907-918
Keywords
Abstract Time-dependent perturbation theory as a tool to compute approximate solutions of the Schrodinger equation does not preserve unitarity. Here we present, in a simple way, how the Magnus expansion (also known as exponential perturbation theory) provides such unitary approximate solutions. The purpose is to illustrate the importance and consequences of such a property. We suggest that the Magnus expansion may be introduced to students in advanced courses of quantum mechanics.
Address [Blanes, S.] Univ Politecn Valencia, Inst Matemat Multidisciplinar, E-46022 Valencia, Spain, Email: serblaza@imm.upv.es
Corporate Author Thesis
Publisher Iop Publishing Ltd Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0143-0807 ISBN Medium
Area Expedition Conference
Notes ISI:000279393800024 Approved no
Is ISI yes International Collaboration no
Call Number IFIC @ pastor @ Serial 259
Permanent link to this record
 

 
Author (up) 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
Permanent link to this record