Titlebook: Memory Functions, Projection Operators, and the Defect Technique; Some Tools of the Tr V. M. (Nitant) Kenkre Textbook 2021 The Editor(s) (i

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The Memory Function Formalism: What and Why,ism helps unify extremes and provides a description of any intermediate degree of coherence. This power of the formalism stems from the basic nature of memory functions rather than from any particular detail. A damped harmonic oscillator and the telegrapher’s equation, with its limits of the wave an

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,Zwanzig’s Projection Operators: How They Yield Memories,entral problem of statistical mechanics, viz. understanding how reversibility in the microscopic equations of motion gives rise to irreversibility in the macroscopic equations of motion. Memories arise as an intermediate feature in this voyage from the microscopic to the macroscopic levels of descri

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Building Coarse-Graining into Projections and Generalizing Energy Transfer Theory,f approximations, leads from the microscopic von Neumann equation to the macroscopic Master equation, the memory functions involved are always cosines of time arguments which by themselves always oscillate. To make memories decay in time and thereby be able to describe irreversible dynamics, it is n

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Relations of Memories to Other Entities and GME Solutions for the Linear Chain,ll as solutions of the GME theory for a specific system of special interest to experiments, the linear chain, were the content of this chapter. Our theory is built as a generalization of the theories of Förster as well as Dexter but looks quite different from those developed by Haken and Reineker, a

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Direct Determination of Frenkel Exciton Coherence from Ronchi Ruling and Transient Grating Experimes not modified strongly by the probe used to make the measurements. A simple discussion of exciton coherence was given at the beginning of the chapter with emphasis on theoretical concepts underlying its quantitative measurement. It focused on the ratio of the exciton mean free path to the lattice c

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Spatial Memories and Granular Compaction,ries were not functions of time but of depth in a granular compact and played the role of time-dependent memories after a . − . transformation. A telegrapher’s equation analysis was constructed on the basis of a simple exponential approximation to the memory. An eigenvalue analysis was developed whi