Darboux transformation for two-level systems

Details Darboux transformation for two-level systems Darboux transformation for two-level systems

2004-04-30

arxiv.org/abs/math-ph/0404078v2

Ann. Phy. 14, No.6, pp. 390-397 (2005)

Physics

Mathematical Physics

10 pages

Scientific paper

10.1002/andp.200410138

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.

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