Floquet theory and complex quasivibrational energy formalism for intense field molecular photodissociation
Author(s) -
ShihI Chu
Publication year - 1981
Publication title -
the journal of chemical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.071
H-Index - 357
eISSN - 1089-7690
pISSN - 0021-9606
DOI - 10.1063/1.442334
Subject(s) - floquet theory , photodissociation , hamiltonian (control theory) , physics , atomic physics , hermitian matrix , eigenvalues and eigenvectors , quantum mechanics , chemistry , mathematics , photochemistry , mathematical optimization , nonlinear system
A practical and nonperturbative method is presented for studying molecular photodissociation processes in the presence of (weak or intense) electromagnetic fields, using only square‐integrable (L2) functions. By means of the complex coordinate transformation and L2 discretization of the vibrational continua, the complex quasivibrational energies (QVE) of the Floquet Hamiltonian can be determined by standard non‐Hermitian eigenvalue analysis. The real parts of the QVE’s provide the ac Stark‐shifted vibronic energies, whereas the imaginary parts are related to the photodissociation transition rates. The theory is applied to the direct photodissociation of H+2(1sσg–2pσu) in both weak and strong fields.
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