# 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} }

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

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