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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Quantum Transport in Mesoscopic Systems - Complexity and Statistical Fluctuations. A Maximum Entropy Viewpoint (Hardcover)
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Quantum Transport in Mesoscopic Systems - Complexity and Statistical Fluctuations. A Maximum Entropy Viewpoint (Hardcover)
Series: Mesoscopic Physics and Nanotechnology, 4
Expected to ship within 12 - 17 working days
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This book presents the statistical theory of complex wave
scattering and quantum transport in physical systems which have
chaotic classical dynamics, as in the case of microwave cavities
and quantum dots, or which possess quenched randomness, as in the
case of disordered conductors - with an emphasis on mesoscopic
fluctuations. The statistical regularity of the phenomena is
revealed in a natural way by adopting a novel maximum-entropy
approach. Shannon's information entropy is maximised, subject to
the symmetries and constraints which are physically relevant,
within the powerful and non-perturbative theory of random matrices;
this is a most distinctive feature of the book. Aiming for a
self-contained presentation, the quantum theory of scattering, set
in the context of quasi-one-dimensional, multichannel systems, and
related directly to scattering problems in mesoscopic physics, is
introduced in chapters two and three. The linear-response theory of
quantum electronic transport, adapted to the context of mesoscopic
systems, is discussed in chapter four. These chapters, together
with chapter five on the maximum-entropy approach and chapter eight
on weak localization, have been written in a most pedagogical
style, suitable for use on graduate courses. In chapters six and
seven, the problem of electronic transport through classically
chaotic cavities and quasi-one-dimensional disordered systems is
discussed. Many exercises are included, most of which are worked
through in detail, aiding graduate students, teachers, and research
scholars interested in the subject of quantum transport through
disordered and chaotic systems.
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