Dynamic properties Response Propagators

This edition, a completely rewritten and expanded version of the original, includes second quantization and diagrammatic perturbation theory, symmetric and unitary group methods, new forms of valence bond theory, dynamic properties and response, propagator and equation-of-motion techniques and the theory of intermolecular forces. 

When Jens Oddershede was elected a Fellow of the American Physical Society in 1993, the citation read For contribution to the theory, computation, and understanding of molecular response properties, especially through the elucidation implementation of the Polarization Propagator formalism. Although written more than a decade ago, it is still true today. The common thread that has run through Jens work for the past score of years is development of theoretical methods for studying the response properties of molecules. His primary interest has been in the development and applications of polarization propagator methods for direct calculation of electronic spectra, radiative lifetime and linear and non-linear response properties such as dynamical dipole polarizabilities and... 

An interesting alternative approach is the direct calculation by polarization propagator, or linear response, methods.The poles of the propagator yield the transition frequencies, the residues yield the corresponding transition moments, and the propagator itself determines linear response properties such as the frequency-dependent (or dynamic) polarizability. 

In this model the Chang and Chang [87] failure criterion was used to calculate damage initiation and propagation. Chou and Ko [88] fiber imdulation model based on the unidirectional fiber tow properties was used to calculate the woven fabric properties. The dynamic response of the helmet system was almost identical in the case of carbon and glass woven fabric reinforcements. 

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