Fifteen classes of solutions of the quantum two-state problem in terms of the confluent Heun function

@article{Ishkhanyan2014FifteenCO,
  title={Fifteen classes of solutions of the quantum two-state problem in terms of the confluent Heun function},
  author={Artur M. Ishkhanyan and A. E. Grigoryan},
  journal={Journal of Physics A},
  year={2014},
  volume={47},
  pages={465205}
}
We derive 15 classes of time-dependent two-state models solvable in terms of the confluent Heun functions. These classes extend over all the known families of three- and two-parametric models solvable in terms of the hypergeometric and the confluent hypergeometric functions to more general four-parametric classes involving three-parametric detuning modulation functions. In the case of constant detuning, the field configurations describe excitations of two-state quantum systems by symmetric or… 
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