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008 220909b |||||||| |||| 00| 0 eng d
020 _a9780198525837
037 _cTextbook
040 _aCSL
_beng
_cCSL
041 _aeng
084 _aC6:212 P4
_qCSL
100 _aMello, Pier A.
_eauthor
_9851847
245 0 _c/ by Pier A Mello and Narendra Kumar
_aQuantum Transport in Mesoscopic Systems
_b: Complexity and Statistical Fluctuations
260 _aOxford :
_bOxford university press ,
_c2004 .
300 _axiv,403p.
490 _aMesoscopic physics and nanotechnology
500 _aIncluded References 389-396p.; Index 397-403p.
520 _aThe aim of this book is to present a statistical theory of wave scattering by complex systems -systems which have a chaotic classical dynamics, as in the case of microwave cavities and quantum dots, or possess quenched randomness, as in the case of disordered conductors-- with emphasis on mesoscopic fluctuations. The universal character of the statistical behavior of these phenomena is incorporated in a natural way by approaching the problem from a Maximum-Entropy viewpoint -Shannon's information entropy is maximized, subject to the symmetries and constraints that are physically relevant-- within the powerful, non-perturbative Theory of Random Matrices. This is a distinctive feature of the present book that greatly motivated our writing it. Another reason is that it collects in one place the material and notions -derived from the published work of the authors in collaboration with several co-workers, as well as from the work of others-- which are scattered through research journals and textbooks on the subject.To make the book self-contained, we present in Chapters 2 and 3 the quantum theory of scattering, set in the context of quasi-one-dimensional, multichannel systems, thus related directly to scattering problems in mesoscopic physics. Chapter 4 discusses the linear-response theory of quantum electronic transport, adapted to the context of mesoscopic systems. These chapters, together with Chapter 5 on the Maximum-Entropy Approach and Chapter 8 on weak localization, have been written in a pedagogical style, and can be used as part of a graduate course. Chapters 6 and 7 discuss the problem of electronic transport through classically chaotic cavities and quasi-one-dimensional disordered systems. There are many exercises, most of them worked out in detail, distributed throughout the book. This should help graduate students, their teachers and the research scholars interested generally in the subject of quantum transport through disordered and chaotic systems in their preparation for it, and beyond.
650 _aQuantum electronic transport.
_9851848
650 _aQuantum mechanical time independent scattering theory.
_9851849
650 _aPhysics.
_9851850
700 _a Kumar, Narendra
_eco-author
_9851851
942 _hC6:212 P4 TC
_cTB
_2CC
_n0
999 _c15630
_d15630