• Corpus ID: 118286114

Time-dependent level crossing models solvable in terms of the confluent Heun functions

@article{Ishkhanyan2014TimedependentLC,
  title={Time-dependent level crossing models solvable in terms of the confluent Heun functions},
  author={Artur M. Ishkhanyan and A. E. Grigoryan},
  journal={arXiv: Atomic Physics},
  year={2014}
}
We discuss the level-crossing field configurations for which the quantum time-dependent two-state problem is solvable in terms of the confluent Heun functions. We show that these configurations belong to fifteen four-parametric families of models that generalize all the known 3- and 2-parametric families for which the problem is solvable in terms of the Gauss hypergeometric and the Kummer confluent hypergeometric functions. Analyzing the general case of variable Rabi frequency and frequency… 
3 Citations
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