Semiclassical Multi-Mode Floquet Theory and Non-Adiabatic Approximation Quasi-Energy Method for Intense Field Multiphoton Processes
The use of the (single-mode) semiclassical Floquet theory [1,2] for nonperturbative treatments of the multiphoton dynamics of finite-level systems, involving periodic time-dependent Hamiltonians, has attracted considerable attention in the last few years. A detailed review of the theoretical investigations for two-level systems has been given by Dion and Hirschfelder . Recently the conventional (single-mode) finite-level Floquet theory [1,2] has been extended to infinite-level (to include both bound as well as continuum states) non-Hermitian Floquet or complex quasi-energy theories [3–6], employing the use of complex-coordinate transformation  and L2-continuum discretization. This yields practical techniques for the study of intense field multiphoton ionization (MPI) of atoms , Stark-Zeeman  and laser-Zeeman  effects as well as multiphoton dissociation (MPD) of small molecules , using entirely only bound-state technology. In this paper, two new developments in Floquet theory, namely, the generalized multi-mode Floquet theory as well as a non-adiabatic quasi-energy method will be briefly presented.
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- 2.D. R. Dion and J. O. Hirschfelder, Adv. Chem. Phys. 35, 265 (1976).Google Scholar
- S. I. Chu, C. Laughlin, and K. K. Datta, Chem. Phys. Lett. (in press 1983).Google Scholar
- 9.S. I. Chu, T. S. Ho and J. V. Tietz, Chem. Phys. Lett. (submitted).Google Scholar
- 10.For recent reviews, see, for example, N. Bloembergen and E. Yablonovîtch, Phys. Today 31, 23 (1978);Google Scholar
- “Coherent Nonlinear Optics”, edited by M. S. Feld and V. S. Letokhov Springer, New York, 1980).Google Scholar
- 11.For recent reviews, see “Atom-Molecule Collision Theory,” edited by R. B. Bernstein ( Plenum, New York, 1979 ).Google Scholar