# 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} }

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

#### Citations

##### Publications citing this paper.

SHOWING 1-10 OF 22 CITATIONS

### FILTER CITATIONS BY YEAR

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 59 REFERENCES