Quantum theory of scattering

An important development in the quantum theory of scattering in the last 20 years has been the development of exact expressions which directly detennine either thennal rate constant lc(T) from the... 

Rodberg L S and Thaler R M 1967 introduction to the Quantum Theory of Scattering (New York Academic)... 

Quantum theory of scattering. The differential scattering cross section for isotropic potentials is given by the scattering phase shifts r e as... 

See, for example, T. Y. Wu and T. Ohmura, Quantum Theory of Scattering, Prentice Hall, London, 1962. 

Wu, T.Y. and Ohmura, T. (1962). Quantum Theory of Scattering (Englewood Cliffs, Prentice-Hall). 

L. S. Rodberg and R. M. Thaler, Introduction to the Quantum Theory of Scattering, Academic, New York, 1967. 

In the volumes to come, special attention will be devoted to the following subjects the quantum theory of closed states, particularly the electronic structure of atoms, molecules, and crystals the quantum theory of scattering states, dealing also with the theory of chemical reactions the quantum theory of time-dependent phenomena, including the problem of electron transfer and radiation theory molecular dynamics statistical mechanics and general quantum statistics condensed matter theory in general quantum biochemistry and quantum pharmacology the theory of numerical analysis and computational techniques. 

Wu, T. Y., Ohmura, T. Quantum theory of scattering. Prentice Hall 1962. 

Rodberg, L. S., Thaler, R. M. Introduction to the quantum theory of scattering. Acad. 

The quantum theory of scattering also known as the method of partial wave analysis provides the frame work for this and we give here the main results of the theory. The basic step in this theory is the decomposition of the incident plane wave into various partial waves each with a well-defined angular momentum ... 

An important development in the quantum theory of scattering in the last 20 years has been the development of exact expressions which directly determine either T . ( ) or the thermal rate constant k(T) from the Hamiltonian H. Formally, at least, these expressions avoid the determination of scattering wavefunctions and any information related to the internal states of the reagents or products. The fundamental derivations in this area have been presented by Miller [44] and by Schwartz et al [45],... 

Quantum Theory of Scattering and Unimolecnlar Breakdown.—From the theoretical viewpoint it would appear natural to compute lifetimes and cross-sections for unimolecular processes like equation (34) by one of the existing methods for the solution of the set of coupled equations of the scattering problem. There have been, however, hardly any calculations for experimental examples or at least realistic model systems. The present status of the quantum theory of unimolecular reactions is still rather in the domain of formal theories or hi y simplified models, which are not of immediate interest to the experimentalist. We shall, nevertheless, review some of the recent developments, because one may hope that in the future the detailed dynamical theories will provide a deeper understanding of unimolecular dynamics than the statistical theories presently do. 

Farina, J. E. G. Quantum Theory of Scattering (Pergamon, Oxford 1973). 

Relations of the form (1.5.17, 18) are often referred to as dispersion relations since they were first derived in the theory of optical dispersion by Kronig (1926) and Kramers (1927). Similar relations have been derived in other contexts, notably the Theory of Dielectrics as remarked by Gross (1953) [see for example Scaife (1971)] and the Quantum Theory of Scattering [Goldberger and Watson (1964)]. The main physical input to these relations is Causality. Gross (1953) first gave a relation of this kind for viscoelasticity, not in fact the same as either (1.5.17, 18), but of the form... 

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