Mathematical Physics of Quantum Wires and Devices - From Spectral Resonances to Anderson Localization (Hardcover, 2000 ed.)

This is the first book to present a comprehensive treatment of the mathematical physics of quantum wires and devices. The focus is on the recent results in the area of the spectral theory of bent and deformed quantum wires, simple quantum devices, Anderson localization, the quantum Hall effect and graphical models for quantum wire systems. The Selberg trace formula for finite volume graphical models is reviewed. Examples and relationships to recent work on acoustic and fluid flow, trapped states and spectral resonances, quantum chaos, random matrix theory, spectral statistics, point interactions, photonic crystals, Landau models, quantum transistors, edge states and metal-insulator transitions are developed. Problems related to modeling open quantum devices are discussed. The research of Exner and co-workers in quantum wires, Stollmann, Figotin, Bellissard et al. in the area of Anderson localization and the quantum Hall effect, and Bird, Ferry, Berggren and others in the area of quantum devices and their modeling is surveyed. The work on finite volume graphical models is interconnected to recent work on Ramanujan graphs and diagrams, the Phillips-Sarnak conjectures, L-functions and scattering theory. Audience: This book will be of use to physicists, mathematicians and engineers interested in quantum wires, quantum devices and related mesoscopic systems.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 506
Release date:	May 2000
First published:	2000
Authors:	N. E. Hurt
Dimensions:	235 x 155 x 19mm (L x W x T)
Format:	Hardcover
Pages:	302
Edition:	2000 ed.
ISBN-13:	978-0-7923-6288-3
Categories:	Books > Science & Mathematics > Physics > Electricity, magnetism & electromagnetism Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers
LSN:	0-7923-6288-8
Barcode:	9780792362883

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