Analytic solutions of the quantum two-state problem in terms of the double, bi- and triconfluent Heun functions

@article{Shahverdyan2015AnalyticSO,
  title={Analytic solutions of the quantum two-state problem in terms of the double, bi- and triconfluent Heun functions},
  author={T. A. Shahverdyan and Tigran Ishkhanyan and Alexander Grigor’yan and Artur Ishkhanyan},
  journal={Journal of Contemporary Physics (Armenian Academy of Sciences)},
  year={2015},
  volume={50},
  pages={211-226}
}
  • T. A. Shahverdyan, Tigran Ishkhanyan, +1 author Artur Ishkhanyan
  • Published 2015
  • Physics
  • Journal of Contemporary Physics (Armenian Academy of Sciences)
  • We derive five classes of quantum time-dependent two-state models solvable in terms of the double confluent Heun functions, five other classes solvable in terms of the biconfluent Heun functions, and a class solvable in terms of the triconfluent Heun functions. These classes generalize all the known families of two- or three-parametric models solvable in terms of the confluent hypergeometric functions to more general four-parametric classes involving three-parametric detuning modulation… CONTINUE READING