Thirty five classes of solutions of the quantum time-dependent two-state problem in terms of the general Heun functions

@article{Ishkhanyan2015ThirtyFC,
  title={Thirty five classes of solutions of the quantum time-dependent two-state problem in terms of the general Heun functions},
  author={Artur Ishkhanyan and T. A. Shahverdyan and Tigran Ishkhanyan},
  journal={The European Physical Journal D},
  year={2015},
  volume={69},
  pages={1-14}
}
  • Artur Ishkhanyan, T. A. Shahverdyan, Tigran Ishkhanyan
  • Published 2015
  • Physics
  • The European Physical Journal D
  • We derive 35 five-parametric classes of the quantum time-dependent two-state models solvable in terms of the general Heun functions. Each of the classes is defined by a pair of generating functions the first of which is referred to as the amplitude- and the second one as the detuning-modulation function. The classes suggest numerous families of specific field configurations with different physical properties generated by appropriate choices of the transformation of the independent variable… CONTINUE READING