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Quantum Transport in Mesoscopic Systems: Complexity and Statistical Fluctuations. A Maximum Entropy Viewpoint

Pier A. Mello and Narendra Kumar


This book presents a statistical theory of complex wave scattering and quantum transport in a class of physical systems of current interest having chaotic classical dynamics (e.g., microwave cavities and quantum dots) or possessing quenched randomness (e.g., disordered conductors). The emphasis here is on mesoscopic fluctuations of the sample-specific transport. The universal character of the statistical behaviour of these phenomena is revealed in a natural way through a novel maximum-entropy approach (MEA). The latter leads to the most probable distribution for the set of random matrices that ... More

Keywords: statistical nuclear reactions, random-matrix theory, scattering matrix, transfer matrix, linear-response theory, quantum transport, maximum-entropy method, open chaotic cavities, Poisson's Kernel, disordered conductors

Bibliographic Information

Print publication date: 2004 Print ISBN-13: 9780198525820
Published to Oxford Scholarship Online: September 2007 DOI:10.1093/acprof:oso/9780198525820.001.0001


Affiliations are at time of print publication.

Pier A. Mello, author
Instituto de Fisica, UNAM, Mexico City, Mexico

Narendra Kumar, author
Director, Raman Research Institute, Bangalore, India