Annalen der Physik

Darboux transformation for two‐level system

Vladislav G. Bagrov, Mario Cesar Baldiotti, Dmitri M Gitman, V. V. Shamshutdinova

Published Apr 11, 2005• 1 citation

Abstract

Abstract We 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.

DOI: 10.1002/andp.20055170603

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