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Semiclassical Theories of Molecular Scattering

Author: Byung Chan Eu
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1984.
Series: Springer series in chemical physics, 26.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

The study of molecular collisions at energies from less than about 100 eV 3 down to a few 10- eV, which is roughly the range of chemical interest, has greatly expanded in the last 10 to 20 years.

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Genre/Form: Electronic books
Additional Physical Format: Printed edition
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Byung Chan Eu
ISBN: 9783642881671 364288167X 9783642881657 3642881653
OCLC Number: 851363517
Description: 1 online resource (volumes).
Contents: 1. Introduction.- 2. Mathematical Preparation and Rules of Tracing.- 2.1 Asymptotic Expansion.- 2.2 The Stokes Phenomenon.- 2.3 The Stokes Phenomenon Continued: The Airy Functions.- 2.4 The Rules of Tracing.- 3. Scattering Theory of Atoms and Molecules.- 3.1 Time-Dependent Scattering Theory.- 3.2 Time-Independent Scattering Theory.- 4. Elastic Scattering.- 4.1 The WKB Approximation for Phase Shifts.- 4.2 Corrections to the WKB Phase Shifts.- 4.3 The WKB Phase Shifts at Low Energies.- 4.4 Semiclassical Approximation of Scattering Amplitude.- 5. Inelastic Scattering: Coupled-State Approach.- 5.1 Primitive Adiabatic WKB Wave Functions.- 5.2 The Uniform Semiclassical Method.- 5.3 The Semiclassical Scattering Matrix Elements.- 5.4 The Diabatic-Representation Approach.- 6. Inelastic Scattering: Time-Dependent Approach.- 6.1 Canonical and Unitary Transformations.- 6.2 Time-Dependent Semiclassical Theory.- 6.3 The Feynman Path Integral Approach.- 6.4 The Asymptotic Evaluation of the Semiclassical S Matrix.- 7. Curve-Crossing Problems. I.- 7.1 The Landau-Zener-Stuckel berg Theory.- 7.2 Applications of the Uniform Semiclassical Theories.- 7.2.1 The First-Order Magnus Approximation.- 7.2.2 The Stationary-Phase Method.- 7.2.3 A Resummation Method.- 7.2.4 Modified Magnus Approximation.- 7.2.5 Numerical Comparisons.- 7.3 The Diabatic Representation Approach.- 8. Curve-Crossing Problems. II: Multistate Models.- 8.1 Multichannel Curve-Crossing Problems.- 8.2 The Case of n > 3.- 9. Curve-Crossing Problems. III: Predissociations.- 9.1 A Two-State Model.- 9.2 Modified Magnus Approximation.- 9.3 A Multistate Model for Predissociation.- 10. A Multisurface Scattering Theory.- 10.1 Multisurface WKB Solutions.- 10.2 Multisurface Scattering Theory.- 11. Scattering off an Ellipsoidal Particle: The WKB Approximation.- 11.1 Elastic Scattering off an Ellipsoid.- 11.2 The WKB Approximation.- 11.3 Elastic Scattering by a Potential.- 11.4 The WKB Approximation for Spheroidal Harmonics.- 11.5 Accuracy of the Uniform WKB Approximation.- 11.5.1 Eigenvalues.- 11.5.2 Angular Spheroidal Wave Functions.- 11.5.3 Elastic Cross Section.- 11.6 Inelastic Scattering.- 12. Concluding Remarks.- Appendix 1: Asymptotic Forms for Parabolic Cylinder Functions.- Commonly Used Symbols.- References.- Author Index.
Series Title: Springer series in chemical physics, 26.
Responsibility: by Byung Chan Eu.

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