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Quantum Many-Body Physics - Yoshio Kuramoto

Quantum Many-Body Physics

A Perspective on Strong Correlations

(Autor)

Buch | Softcover
261 Seiten
2020 | 1st ed. 2020
Springer Verlag, Japan
978-4-431-55392-2 (ISBN)
CHF 112,30 inkl. MwSt
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This book offers a compact tutorial on basic concepts and tools in quantum many-body physics, and focuses on the correlation effects produced by mutual interactions.

The content is divided into three parts, the first of which introduces readers to perturbation theory. It begins with the simplest examples—hydrogen and oxygen molecules—based on their effective Hamiltonians, and looks into basic properties of electrons in solids from the perspective of localized and itinerant limits. Readers will also learn about basic theoretical methods such as the linear response theory and Green functions. The second part focuses on mean-field theory for itinerant electrons, e.g. the Fermi liquid theory and superconductivity. Coulomb repulsion among electrons is addressed in the context of high-Tc superconductivity in cuprates and iron pnictides. A recent discovery concerning hydride superconductors is also briefly reviewed. In turn, the third part highlights quantum fluctuation effects beyond the mean-field picture. Discussing the dramatic renormalization effect in the Kondo physics, it provides a clear understanding of nonperturbative interaction effects. Further it introduces readers to fractionally charged quasi-particles in one and two dimensions. The last chapter addresses the dynamical mean field theory (DMFT).

The book is based on the author’s long years of experience as a lecturer and researcher. It also includes reviews of recent focus topics in condensed matter physics, enabling readers to not only grasp conventional condensed matter theories but also to catch up on the latest developments in the field.

Yoshio Kuramoto is a Professor at the KEK and Professor Emeritus at Tohoku University. His work chiefly involves condensed matter theory, and has particularly contributed to the construction of a theoretical scheme called the non-crossing approximation (NCA). He has also pioneered a scheme on dynamics of the Anderson lattice. He has lectured on many-particle physics at the Department of Physics, Tohoku University and at other universities for many years.

Perturbation theory and effective Hamiltonian.- Itinerant and localized characters of electrons.- Linear response and Green functions.- Fermi liquid theory.- Superconductivity.- Kondo effect.- One-dimensional fermions and bosonization .- Fractionalization of charge and statistics.- Many-body perturbation theory.- Dynamical mean field theory.

Erscheinungsdatum
Reihe/Serie Lecture Notes in Physics ; 934
Lecture Notes in Physics ; 934
Zusatzinfo 3 Illustrations, color; 38 Illustrations, black and white; XI, 261 p. 41 illus., 3 illus. in color.
Verlagsort Tokyo
Sprache englisch
Maße 155 x 235 mm
Themenwelt Naturwissenschaften Chemie Analytische Chemie
Naturwissenschaften Physik / Astronomie Atom- / Kern- / Molekularphysik
Naturwissenschaften Physik / Astronomie Elektrodynamik
Naturwissenschaften Physik / Astronomie Festkörperphysik
Naturwissenschaften Physik / Astronomie Quantenphysik
Technik Elektrotechnik / Energietechnik
Technik Maschinenbau
ISBN-10 4-431-55392-4 / 4431553924
ISBN-13 978-4-431-55392-2 / 9784431553922
Zustand Neuware
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