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Darboux transformation for two-level systems

V. G. Bagrov·M. C. Baldiotti·D. M. Gitman·V. V. Shamshutdinova
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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.

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BibTeXRIS

V. G. Bagrov, M. C. Baldiotti, D. M. Gitman, V. V. Shamshutdinova. 2004-09-22. Darboux transformation for two-level systems. https://doi.org/10.1002/andp.200410138

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