Darboux transformation for two-level systems
Mathematical Physics
2007-05-23 v2 math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.math-ph/0404078,
title = {Darboux transformation for two-level systems},
author = {V. G. Bagrov and M. C. Baldiotti and D. M. Gitman and V. V. Shamshutdinova},
journal= {arXiv preprint arXiv:math-ph/0404078},
year = {2007}
}
Comments
10 pages