Semiclassical Methods in Molecular Scattering and Spectroscopy: Proceedings of the NATO ASI held in Cambridge, England, in September 1979

by M.S. Child (Editor)

Overview

Proceedings of the NATO Advanced Study Institute, Cambridge, England, September 1979

Product Details

ISBN-13:	9789027710826
Publisher:	Springer Netherlands
Publication date:	02/29/1980
Series:	Nato Science Series C: , #53
Edition description:	1980
Pages:	332
Product dimensions:	8.27(w) x 11.69(h) x 0.24(d)

Table of Contents

Semiclassical and Higher Order Approximations: Properties. Solution of Connection Problems.- 1. Introduction.- 2. First order JWKB approximation.- 3. Method for solving connection problems.- 4. Anti-Stokes’ and Stokes’ Lines.- 5. Properties of the JWKB Approximation in the complex plane.- 6. Bohr-Sommerfeld quantization condition.- 7. Phase shift.- 8. Normalization.- 9. Expectation values and matrix elements.- 10. Higher order approximations.- 11. Exercises.- References.- Semiclassical Theory of Elastic Scattering.- 1. Introduction.- 2. Quantum mechanical elastic scattering.- 3. Classical elastic scattering.- 4. The semiclassical phase shift.- 5. Semiclassical evaluation of f(χ).- 6. Orbiting collisions and resonances.- 7. Regge pole representation of f(χ).- References.- Problems.- Applications of Bohr Quantization in Diatomic Molecule Spectroscopy.- 1. Introduction.- 2. Spectroscopic properties of the potential function.- 3. RKR inversion.- 4. Near dissociation behaviour of diatomic molecules.- 5. Problems.- References.- Separable Spectroscopy Applications.- 1. Frack-Condon factors and predissociation.- 2. Tunneling and curve-crossing problems.- 3. Problems.- References.- The Classical S Matrix.- 1. Classical considerations.- 2. Derivations of the S matrix.- 3. Problems.- References.- Semiclassical Theory of Eletronically Non-Adiabatic Transitions in Molecular Collisions Processes.- 1. Introductory concepts and tools.- 2. Specific theories and dynamical models.- 3. Miller-George theory of electronic transitions.- 4. Applications of the semiclassical S matrix.- 5. Interaction with fields. Laser-enhanced collisions.- 6. Miscellaneous aspects of laser-enhanced collisions.- Problems.- References.- Correspondence-Principle Methods for Molecular Collisions.- 1.Introduction.- 2. Bound states and matrix elements.- 3. Cross sections.- 4. Collinear vibrational excitation.- 5. Rotational excitation.- 6. Rotational-vibrational excitation and rotor-rotor collisions.- 7. Conclusions.- Problems.- References.- The Determination of Bound States by Semiclassical Methods.- 1. The nature of classical trajectories.- 2. Methods for determining semiclassical eigenvalues.- 3. Quantum effects of classical ergodicity.- References.- Appendix. M. S. Child/The Airy Function.- 1. Properties.- References.- Author Index.