Semiclassical Methods in Molecular Scattering and Spectroscopy Proceedings of the NATO ASI held in Cambridge, England, in September 1979 / edited by M.S. Child.

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Child, M.S (Editor)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 1980.
Edition:1st ed. 1980.
Series:Nato Science Series C:, Mathematical and Physical Sciences, 53
Springer eBook Collection.
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Online Access:Click to view e-book
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Electronic access restricted to members of the Holy Cross Community.

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505 0 |a 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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