Quantum Transport in Mesoscopic Systems

Complexity and Statistical Fluctuations
Erscheinungsjahr 2004
ISBN: 978-0-19-852582-0
Verlag: OUP Oxford

Buch, Englisch, Band 4, 416 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 787 g

Reihe: Mesoscopic Physics and Nanotechnology

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.

Autoren/Hrsg.

Mello, Pier A.

Kumar, Narendra

Fachgebiete

• Technische Wissenschaften Energietechnik | Elektrotechnik Elektrotechnik
• Technische Wissenschaften Verfahrenstechnik | Chemieingenieurwesen | Biotechnologie Metallurgie
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Materialwissenschaft: Elektronik, Optik
• Naturwissenschaften Physik Physik Allgemein
• Naturwissenschaften Physik Thermodynamik Plasmaphysik
• Naturwissenschaften Physik Quantenphysik Atom- und Molekülphysik
• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Materialwissenschaft: Metallische Werkstoffe
• Naturwissenschaften Physik Mechanik Klassische Mechanik, Newtonsche Mechanik
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Elektronische Baugruppen, Elektronische Materialien
• Naturwissenschaften Physik Quantenphysik Hochenergiephysik

Über Autor(innen)

Pier A. Mello, Instituto de Fisica, U.N.A.M., Apartado Postal 20-364, Delegacion A. Obregon, 01000 Mexico D.F., Mexico. Tel: [phone], Fax: [phone], Email: [e-mail]
Present position: Distinguished Professor of Physics at Instituto de Fisica, U.N.A.M., Mexico

Narendra Kumar, Raman Research Institute, C.V. Raman Avenue, Bangalore 560080, Karnataka State, India. Tel: [phone], Fax: [phone], Email: [e-mail]
Present position: Director, Raman Research Institute, Bangalore