QIONGTAO XIE
Articles written in Pramana – Journal of Physics
Volume 91 Issue 2 August 2018 Article ID 0019 Research Article
Analytical results for periodically-driven two-level models in relation to Heun functions
We introduce three different types of periodically-driven multiparametric two-level models whoseanalytical solutions are given in terms of Heun functions. These results are applied to obtain exact analytical results for certain types of periodic potentials and asymmetric double-well potentials. In particular, it is shown that underspecial parameter conditions, an experimentally realised periodic potential supports the exact in-gap solutions. In the asymmetric double-well potentials, some exact results of the bound-state wave functions and associated energiesare found in explicit form.
Volume 96, 2022
All articles
Continuous Article Publishing mode
Click here for Editorial Note on CAP Mode
© 2021-2022 Indian Academy of Sciences, Bengaluru.