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Quantum Many-Body Physics - A Perspective on Strong Correlations (Paperback, 1st ed. 2020)
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Quantum Many-Body Physics - A Perspective on Strong Correlations (Paperback, 1st ed. 2020)
Series: Lecture Notes in Physics, 934
Expected to ship within 10 - 15 working days
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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.
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