Scattering general theory

Baer M 1985 The general theory of reactive scattering the differential equations approach Theory of... 

Manolopoulos D E, Dmello M and Wyatt R E 1989 Quantum reactive scattering via the log derivative version of the Kohn variational principle—general theory for bimolecular chemical reactions J. Chem. Phys. 91 6096... 

Heine, V. (1963). On the general theory of surface states and scattering of electrons in solids. Proc. Phys. Soc. 81, 300-310. 

As described in the main text of this section, the states of systems which undergo radiationless transitions are basically the same as the resonant scattering states described above. The terminology resonant scattering state is usually reserved for the case where a true continuum is involved. If the density of states in one of the zero-order subsystems is very large, but finite, the system is often said to be in a compound state. We show in the body of this section that the general theory of quantum mechanics leads to the conclusion that there is a set of features common to the compound states (or resonant scattering states) of a wide class of systems. In particular, the shapes of many resonances are very nearly the same, and the rates of decay of many different kinds of metastable states are of the same functional form. It is the ubiquity of these features in many atomic and molecular processes that we emphasize in this review. 

The optical response of a monomolecular layer consists of scattered waves at the frequency of the incident wave. Since the surface model is a perfect infinite layer, the scattered waves are reflected and transmitted plane waves. In the case of a 3D crystal, we have defined (Section I.B.2) a dielectric permittivity tensor providing a complete description of the optical response of the 3D crystal. This approach, which embodies the concept of propagation of dressed photons in the 3D matter space, cannot be applied in the 2D matter system, since the photons continue propagating in the 3D space. Therefore, the problem of the 2D exciton must be tackled directly from the general theory of the matter-radiation interaction presented in Section I. 

Yan Y-X, Nelson KA. Impulsive stimulated light scattering. I. General theory. J Chem Phys 1987 87(ll) 6240-6256. 

In Part II we are concerned with CILS of liquids and solids. Computer simulation of molecular dynamics has emerged as a most powerful technique for the study of simple liquids and solids, and we include here such work as far as it is related to CILS because molecular dynamics studies are usually aimed at simulating the dense phases. This part is divided into three sections the first one considers the general theory of light scattering in the dense states related to CILS, the internal field problem, and so on. Section 2 is concerned with the CILS spectra of liquids, mostly, of course, of ordinary liquids and solutions, but work concerning superfluids and ionic melts is also included. Section 3 deals with the CILS-related spectra of amorphous and crystalline solids that have been prominently featured in the recent 22nd Faraday Symposium [435]. 

Baer, M. (1985) The General Theory of Reactive Scattering The Differential Equation Approach, in M. Baer (ed.). Theory of Chemical Reaction Dynamics. Vol.l, CRC Press, Inc.,Boca Raton, pp.91-161. 

G. Porod, General theory, in O. Glatter and O. Kratky (Eds.)/ Small Angle X-ray Scattering. Academic Press, London, 1982, Chap. 2, pp. 17-51. 

LEV 97] LEVINE L.E., THOMSON R., X-ray scattering by dislocations in crystal. General theory and application to screw dislocations ,4cto Cryst A, vol. 53, p. 590-602,1997. 

There are two general theories that describe observed intensities in x-ray diffraction these are the kinematical and dynamical theories. The kinematical approach, which is the better known and most commonly employed, treats the scattering from each volume element independently of each other except for the incoherent power losses associated with the beam reaching and leaving a particular volume element. 

In this chapter we present a simple model calculation that demonstrates how this cooperative motion affects the scattering spectrum. Our approach is based on the Debye-Onsager treatment of ion transport (see Falkenhagen, 1934 Stephen, 1971). This is our first discussion of cooperative effects in light scattering. In Chapter 13 this problem is reconsidered in the context of the general theory of nonequilibrium thermodynamics. 

Most recently, Freed (84) has developed a generalized theory in terms of a multiple scattering representation of scattering of fluid waves by the polymer molecules and derived the precise result ... 

For example, Eq. (3a) below, which is a consequence of Fano s elegant and general theory of 1961 [29], expresses the fact that, on resonance, the exact scattering state in the energy continuum is almost the same as the square-integrable (inner) part, Fq, with the energy dependence of the scattering state represented by the coefficient of o-... 

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