Semiclassical quantization of bound and quasi-stationary states beyond the adiabatic approximation
arXiv:cond-mat/0305209 · doi:10.1103/PhysRevA.69.062508
Abstract
We examine one important (and overlooked in all previous investigations) aspect of well - known crossing diabatic potentials or Landau - Zener (LZ) problem. We derive the semiclassical quantization rules for the crossing diabatic potentials with localized initial and localized or delocalized final states, in the intermediate energy region, when all four adiabatic states are coupled and should be taken into account. In fact these situations exhaust all cases practically relevant for spectroscopy of non-rigid molecules (i.e. with more than one stable configuration).
arXiv comment19 pages, 8 eps figures, Revtex-4, revised version, one figure is deleted, and corrected some typos. Accepted to Physical Review A
References in corpus (6)
- Nonadiabatic Transition Probabilities in the Presence of Strong Dissipation at an Avoided Level Crossing Point
- Coherent oscillations and incoherent tunnelling in one - dimensional asymmetric double - well potential
- Instanton versus traditional WKB approach to Landau - Zener problem
- Semiclassical approach to states near potential barrier top
- Duality in potential curve crossing: Application to quantum coherence
- Fundamental solution method applied to time evolution of two energy level systems: exact and adiabatic limit results