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

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

by M.S. Child (Editor)

Paperback(Softcover reprint of the original 1st ed. 1980)

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Product Details

ISBN-13: 9789400989986
Publisher: Springer Netherlands
Publication date: 10/13/2011
Series: Nato Science Series C: Series , #53
Edition description: Softcover reprint of the original 1st ed. 1980
Pages: 332
Product dimensions: 6.10(w) x 9.25(h) x 0.03(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(?).- 6. Orbiting collisions and resonances.- 7. Regge pole representation of f(?).- 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.

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