001435842 000__ 04397cam\a2200517\i\4500 001435842 001__ 1435842 001435842 003__ OCoLC 001435842 005__ 20230309003955.0 001435842 006__ m\\\\\o\\d\\\\\\\\ 001435842 007__ cr\un\nnnunnun 001435842 008__ 210417s2021\\\\sz\\\\\\ob\\\\001\0\eng\d 001435842 019__ $$a1246577193 001435842 020__ $$a9783030686673$$q(electronic bk.) 001435842 020__ $$a3030686671$$q(electronic bk.) 001435842 020__ $$z9783030686666 001435842 020__ $$z3030686663 001435842 0247_ $$a10.1007/978-3-030-68667-3$$2doi 001435842 035__ $$aSP(OCoLC)1246351750 001435842 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCO$$dOCLCF$$dUKAHL$$dN$T$$dOCLCO$$dOCLCQ$$dCOM$$dOCLCO$$dOCLCQ 001435842 049__ $$aISEA 001435842 050_4 $$aQC173.454 001435842 08204 $$a530.4/1$$223 001435842 1001_ $$aKenkre, V. M.$$q(Vasudev M.),$$d1946-$$eauthor. 001435842 24510 $$aMemory functions, projection operators, and the defect technique :$$bsome tools of the trade for the condensed matter physicist /$$cV.M. (Nitant) Kenkre. 001435842 264_1 $$aCham :$$bSpringer,$$c[2021] 001435842 300__ $$a1 online resource 001435842 336__ $$atext$$btxt$$2rdacontent 001435842 337__ $$acomputer$$bc$$2rdamedia 001435842 338__ $$aonline resource$$bcr$$2rdacarrier 001435842 4901_ $$aLecture notes in physics,$$x0075-8450 ;$$vvolume 982 001435842 504__ $$aIncludes bibliographical references and index. 001435842 5050_ $$aChapter 1. The Memory Function Formalism: What and Why -- Chapter 2. Zwanzig Projection Operators: How They Yield Memories -- Chapter 3. Building Coarse-Graining into Projections and Generalizing Energy Transfer Theory -- Chapter 4. Relations of Memories to Other Entities and GME Solutions for the Linear Chain -- Chapter 5. Direct Determination of Frenkel Exciton Coherence from Ronchi Ruling and Transient Grating Experiments -- Chapter 6. Application to Charges Moving in Crystals: Resolution of the Mobility Puzzle in Naphthalene and Related Results -- Chapter 7. Projections and Memories for Microscopic Treatment of Vibrational Relaxation -- Chapter 8. Projection Operators for Various Contexts -- Chapter 9. Spatial Memories and Granular Compaction -- Chapter 10. Memories and Projections in Nonlinear Equations of Motion -- Chapter 11. The Montroll Defect Technique and its Application to Molecular Crystals -- Chapter 12. The Defect Technique in the Continuum -- Chapter 13. Memory Functions from Static Disorder: Effective Medium Theory -- Chapter 14. Effective Medium Theory Application to Molecular Movement in Cell Membranes -- Chapter 15. A Mathematical Approach to Non-Physical Defects -- Chapter 16. Concluding Remarks. 001435842 506__ $$aAccess limited to authorized users. 001435842 520__ $$aThis book provides a graduate-level introduction to three powerful and closely related techniques in condensed matter physics: memory functions, projection operators, and the defect technique. Memory functions appear in the formalism of the generalized master equations that express the time evolution of probabilities via equations non-local in time, projection operators allow the extraction of parts of quantities, such as the diagonal parts of density matrices in statistical mechanics, and the defect technique allows solution of transport equations in which the translational invariance is broken in small regions, such as when crystals are doped with impurities. These three methods combined form an immensely useful toolkit for investigations in such disparate areas of physics as excitation in molecular crystals, sensitized luminescence, charge transport, non-equilibrium statistical physics, vibrational relaxation, granular materials, NMR, and even theoretical ecology. This book explains the three techniques and their interrelated nature, along with plenty of illustrative examples. Graduate students beginning to embark on a research project in condensed matter physics will find this book to be a most fruitful source of theoretical training. 001435842 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed April 21, 2021). 001435842 650_0 $$aCondensed matter. 001435842 650_6 $$aMatière condensée. 001435842 655_0 $$aElectronic books. 001435842 77608 $$iPrint version:$$z3030686663$$z9783030686666$$w(OCoLC)1228877268 001435842 830_0 $$aLecture notes in physics ;$$v982.$$x0075-8450 001435842 852__ $$bebk 001435842 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-68667-3$$zOnline Access$$91397441.1 001435842 909CO $$ooai:library.usi.edu:1435842$$pGLOBAL_SET 001435842 980__ $$aBIB 001435842 980__ $$aEBOOK 001435842 982__ $$aEbook 001435842 983__ $$aOnline 001435842 994__ $$a92$$bISE