Quasiclassical approximation for inelastic atommolecule scattering amplitudes
Abstract
Exact expressions for transition probability amplitudes are presented in the form of Feynman integrals over trajectories and their quasiclassical approximations. The quasiclassical representations for the transition probabilities are obtained in terms of the classical effect expressed in angleaction variables; they are used to study a wide range of multivariate problems with real interaction potentials, including vibrationalrotational transitions in molecules and particle collisions with surfaces. Perturbation techniques are developed for determining the classical action in the cases of slow and fast collisions. As examples of solutions to multivariate problems, analytical expressions in terms of Bessel functions are obtained for differential cross sections for hydrogen excitation by charged particles, molecular rotational degrees of freedom in Li(+) + H2 collisions, and total excitation cross sections for highlying hydrogen levels in H + H collisions.
 Publication:

Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki
 Pub Date:
 July 1977
 Bibcode:
 1977ZhETF..73...76D
 Keywords:

 Atomic Collisions;
 Inelastic Scattering;
 Scattering Amplitude;
 Hydrogen Atoms;
 Lithium;
 Molecular Rotation;
 Quantum Electrodynamics;
 Transition Probabilities;
 Atomic and Molecular Physics