The theory of low energy collisions is discussed, especially those occurring with velocities similar to those in room temperature gases. A balance has been aimed for, between the classical and quantum approaches and the between the four main branches of the subject: elastic, inelastic and reactive scattering and electron excitation. An understanding of the theory should be expected now of anyone intending to do research in gas-phase spectroscopy, or reactivity, or in many other branches of physics and chemistry.
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Für höhere Schule und Studium
Für Beruf und Forschung
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29 line figures, 1 table, bibliography, index
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ISBN-13
978-0-471-92365-7 (9780471923657)
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Schweitzer Klassifikation
Part 1 Introduction to scattering theory: the crossed beam experiment; waves and particles; trajectories, wave packets and stationary states; semi-classical theory; laboratory and centre of mass coordinates; summary of systems to be examined. Part 2 Elastic scattering: classical trajectories for the central force problem; collision cross-sections; quantum scattering by a central force; a semi-classical view of elastic scattering; comparison of classical, semi-classical and quantum cross-sections; the inversion problem. Part 3 Inelastic collisions: the classical treatment of atom-diatomic molecule; numerical integration of trajectories and action-angle variables; the multi-channel equations; quantum treatment of collinear atom-diatomic molecule collisions; the semi-classical approach to inelastic collisions; approximate solutions of the coupled channel equations. Part 4 Rotationally inelastic collisions: classical rotational energy transfer; classical trajectories for reactions; potential energy functions and reaction cross-sections; quantum theory of reactive scattering; statistical theories. Part 6 Electronic transitions: beyond the Born-Oppenheimer approximation; atom-atom collisions; classical trajectory methods. Part 7 Scattering from surfaces: atomm-rigid surfaces scattering; more complicated problems. Appendices: the JWKB approximation; the partial wave expansion; jost functions; numerical methods; effective impact parameter for a three-dimensional surface; Hamilton's equations for the A+BC classical trajectory.
