Darboux transformation for two-level systems

Simple item page
dc.creatorBagrov, V. G.
dc.creatorBaldiotti, M. C.
dc.creatorGitman, D. M.
dc.creatorShamshutdinova, V. V.
dc.date2004-04-30
dc.date2004-09-22
dc.date.accessioned2026-07-07T04:31:09Z
dc.date.available2026-07-07T04:31:09Z
dc.descriptionWe develop the Darboux procedure for the case of the two-level system. In particular, it is demonstrated that one can construct the Darboux intertwining operator that does not violate the specific structure of the equations of the two-level system, transforming only one real potential into another real potential. We apply the obtained Darboux transformation to known exact solutions of the two-level system. Thus, we find three classes of new solutions for the two-level system and the corresponding new potentials that allow such solutions.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0404078
dc.identifierhttp://arxiv.org/abs/math-ph/0404078
dc.identifierAnn. Phy. 14, No.6, pp. 390-397 (2005)
dc.identifierdoi:10.1002/andp.200410138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57716
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.subject34A05; 34A30; 78A60; 81Q05; 81V80
dc.titleDarboux transformation for two-level systems
dc.typetext

Files

Collections

arXiv