Download Advances in Atomic and Molecular Physics 11 by D.R. Bates and Benjamin Bederson (Eds.) PDF

By D.R. Bates and Benjamin Bederson (Eds.)

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We do not consider similar approximations used in chemical physics; a summary of these may be found in reviews by Levine (1971) and Miller (1974). However, it should be pointed out that for collisions of charged particles with atoms considered here there is no need to quantize when three-body effects are important, when classical trajectories must be integrated numerically. As a result methods based upon the SCCP are adequate, and cross sections can be obtained relatively easily. First we consider the approximation of Beigman et al.

He completed a part of one trajectory. Then Wall et al. (1958)calculated several hundred trajectories on an Illiac machine; this was still not enough to provide adequate statistics for a reaction rate. The first true Monte Carlo calculation for a reaction was that of Blais and Bunker (1962). The method has been used extensively for atom-molecule collisions as reviewed by Bunker 46 I . C . Percival and D . Richards (1964, 1971), but the problems and techniques are somewhat different for collisions between charged particles and atoms due to the long range and attractive singularities of the Coulomb interaction.

In many physical situations the individual (I, m)states of a level n are equally populated so that only the sum is required. This can be approximated using the relations and the same technique as above to obtain 1 2n 2n d8ne-ie-AnF(0, I) 1 2 (66) which is just an average over a classical microcanonical ensemble (Section 11,C). D. OSCILLATOR STRENGTHS The oscillator strength is an idea introduced into classical radiation theory by Drude (1900); he introduced it in order to relate the polarization P to the electric field E which causes it.

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