Many-Body Green's Functions for Time-Dependent Problems
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- Publisher:
- Cambridge University Press
- Publication date:
- 06 February 2026
- 05 March 2026
- ISBN:
- 9781009411509
- 9781009411547
- Dimensions:
- (244 x 170 mm)
- Weight & Pages:
- 0.978kg, 442 Pages
- Dimensions:
- Weight & Pages:
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Book description
Quantum many-body systems are a central feature of condensed matter physics, relevant to important, modern research areas such as ultrafast light-matter interactions and quantum information. This book offers detailed coverage of the contour Green's function formalism – an approach that can be successfully applied to solve the quantum many-body and time-dependent problems present within such systems. Divided into three parts, the text provides a structured overview of the relevant theoretical and practical tools, with specific focus on the Schwinger-Keldysh formalism. Part I introduces the mathematical frameworks that make use of Green's functions in normal phase states. Part II covers fermionic superfluid phases with discussion of topics such as the BCS-BEC crossover and superconducting systems. Part III deals with the application of the Schwinger-Keldysh formalism to various topics of experimental interest. Graduate students and researchers will benefit from the book's comprehensive treatment of the subject matter and its novel arrangement of topics.
Reviews
‘Professor Strinati provides us with a pleasant and expert overview of the various standard techniques used in handling the many-body problem, mainly in fermionic systems. The book covers not only the classical Green’s functions methods appropriate for equilibrium situations, but also the remarkable extension to out of equilibrium situations with the Keldysh formalism. It also addresses the famous Kadanoff and Baym approach. As a physical example for application Professor Strinati has chosen the fascinating phenomenon of the BEC-BCS crossover in ultracold fermionic atoms, a field in which he has made very important contributions. I highly recommend this remarkable book.’
Roland Combescot - Ecole Normale Supérieure, Paris
‘Echoing the pedagogical style of Enrico Fermi, Professor Strinati guides the reader step-by-step through the nonequilibrium Green's function formalism. The text stands out for its mathematical completeness, offering rigorous derivations that expose theoretical details frequently omitted elsewhere. Bridging this foundational clarity with modern applications in ultracold gases, it serves as a valuable tutorial for students and an essential reference for researchers.’
Hui Zhai - Institute for Advanced Study, Tsinghua University
‘Since Feynman introduced diagrammatic methods in quantum field theory, the techniques have undergone extensive development and now underpin a wide range of applications. These methods have required even further expansion to meet the challenges of describing nonequilibrium phenomena and nonlinear processes. This book is devoted to a key breakthrough in this field – the Keldysh formalism, or nonequilibrium Green’s functions. Professor Giancarlo Calvanese Strinati, a world-renowned expert in condensed-matter theory, first presents the foundations and subtleties of the method and then applies it to a broad set of modern problems—from high-temperature superconductivity and ultracold gases to other strongly correlated systems, mesoscopic physics, and nanoscale electronics. I am confident that this monograph will help new generations of researchers master modern diagrammatic techniques, appreciate their elegance, and use them to drive future advances in understanding complex quantum systems.’
Andrey Varlamov - CNR-SPIN, Rome
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