A course in quantum many-body theory [electronic resource] : from conventional Fermi liquids to strongly correlated systems / Michele Fabrizio.

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A course in quantum many-body theory [electronic resource] : from conventional Fermi liquids to strongly correlated systems / Michele Fabrizio.

9783031163050 (electronic bk.)
3031163052 (electronic bk.)
3031163044
9783031163043

Cham, Switzerland : Springer, 2022.

English

1 online resource.

10.1007/978-3-031-16305-0 doi

QC174.17.P7

530.14/4

This textbook presents various methods to deal with quantum many-body systems, mainly addressing interacting electrons. It focusses on basic tools to tackle quantum effects in macroscopic systems of interacting particles, and on fundamental concepts to interpret the behavior of such systems as revealed by experiments. The textbook starts from simple concepts like second quantization, which allows one to include the indistinguishability and statistics of particles in a rather simple framework, and linear response theory. Then, it gradually moves towards more technical and advanced subjects, including recent developments in the field. The diagrammatic technique is comprehensively discussed. Some of the advanced topics include Landaus Fermi liquid theory, Luttinger liquids, the Kondo effect, and the Mott transition. The ultimate goal of the book is to gain comprehension of physical quantities that are routinely measured experimentally and fully characterize the system, therefore it is useful for graduate students but also young researchers studying and investigating the theoretical aspects of condensed matter physics.

Includes bibliographical references.

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Online resource; title from PDF title page (SpringerLink, viewed November 10, 2022).

Graduate texts in physics.

Print version: 9783031163043

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