Memory functions, projection operators, and the defect technique : some tools of the trade for the condensed matter physicist / V.M. (Nitant) Kenkre.
Kenkre, V. M. (Vasudev M.), 1946- author.
2021
QC173.454
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Title
Memory functions, projection operators, and the defect technique : some tools of the trade for the condensed matter physicist / V.M. (Nitant) Kenkre.
Author
Kenkre, V. M. (Vasudev M.), 1946- author.
ISBN
9783030686673 (electronic bk.)
3030686671 (electronic bk.)
9783030686666
3030686663
DOI
https://doi.org/10.1007/978-3-030-68667-3
Published
Cham : Springer, [2021]
Language
English
Description
1 online resource
Item Number
10.1007/978-3-030-68667-3 doi
Call Number
QC173.454
Dewey Decimal Classification
530.4/1
Summary
This book provides a graduate-level introduction to three powerful and closely related techniques in condensed matter physics: memory functions, projection operators, and the defect technique. Memory functions appear in the formalism of the generalized master equations that express the time evolution of probabilities via equations non-local in time, projection operators allow the extraction of parts of quantities, such as the diagonal parts of density matrices in statistical mechanics, and the defect technique allows solution of transport equations in which the translational invariance is broken in small regions, such as when crystals are doped with impurities. These three methods combined form an immensely useful toolkit for investigations in such disparate areas of physics as excitation in molecular crystals, sensitized luminescence, charge transport, non-equilibrium statistical physics, vibrational relaxation, granular materials, NMR, and even theoretical ecology. This book explains the three techniques and their interrelated nature, along with plenty of illustrative examples. Graduate students beginning to embark on a research project in condensed matter physics will find this book to be a most fruitful source of theoretical training.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed April 21, 2021).
Series
Lecture notes in physics ; 982. 0075-8450
Available in Other Form
Print version: 9783030686666
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Chapter 1. The Memory Function Formalism: What and Why
Chapter 2. Zwanzig Projection Operators: How They Yield Memories
Chapter 3. Building Coarse-Graining into Projections and Generalizing Energy Transfer Theory
Chapter 4. Relations of Memories to Other Entities and GME Solutions for the Linear Chain
Chapter 5. Direct Determination of Frenkel Exciton Coherence from Ronchi Ruling and Transient Grating Experiments
Chapter 6. Application to Charges Moving in Crystals: Resolution of the Mobility Puzzle in Naphthalene and Related Results
Chapter 7. Projections and Memories for Microscopic Treatment of Vibrational Relaxation
Chapter 8. Projection Operators for Various Contexts
Chapter 9. Spatial Memories and Granular Compaction
Chapter 10. Memories and Projections in Nonlinear Equations of Motion
Chapter 11. The Montroll Defect Technique and its Application to Molecular Crystals
Chapter 12. The Defect Technique in the Continuum
Chapter 13. Memory Functions from Static Disorder: Effective Medium Theory
Chapter 14. Effective Medium Theory Application to Molecular Movement in Cell Membranes
Chapter 15. A Mathematical Approach to Non-Physical Defects
Chapter 16. Concluding Remarks.

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