NUK - logo
E-resources
Full text
Peer reviewed
  • Analytical results for peri...
    Xie, Qiongtao

    Pramāṇa, 08/2018, Volume: 91, Issue: 2
    Journal Article

    We introduce three different types of periodically-driven multiparametric two-level models whose analytical 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 under special 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 energies are found in explicit form.