Abstract
In this article, we describe some recent development of generalized Flo- quet formalisms and computational methods for nonperturbative treatments of atomic and molecular multiphoton (half-collision) processes in intense and superintense laser fields. We start with a brief review of the conventional Floquet matrix techniques, applicable to multiphoton bound-bound transitions in finite-level systems in periodic fields, and their limitations. Several generalized Floquet formalisms, beyond the Floquet theorem, are then introduced for the treatment of more complicated systems, such as the many-mode Floquet theory for multi-frequency laser excitation with non-periodic Hamil- tonians, the non-Hermitian Floquet formalism for bound-free and free- free multiphoton ionization and dissociation etc. Finally we describe several recent case studies of strong- field processes using the generalized Floquet techniques: intensity-dependent ionization potential and threshold shift, a.c. Stark shifts of Rydberg states in strong fields, above- threshold multiphoton detachment of H~ in one-color, two-color, and pulsed laser fields, stabilization and ionization suppression of negative ions in superintense high-frequency laser fields, and laser- induced chemical bond softening and hardening and molecular stabilization, etc.
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Chu, SI. (1997). Nonperturbative Approaches to Atomic and Molecular Multiphoton (Half-Collision) Processes in Intense Laser Fields. In: Truhlar, D.G., Simon, B. (eds) Multiparticle Quantum Scattering With Applications to Nuclear, Atomic and Molecular Physics. The IMA Volumes in Mathematics and its Applications, vol 89. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1870-8_13
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DOI: https://doi.org/10.1007/978-1-4612-1870-8_13
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