A classic from 1964, this monograph, translated from the original French, provides a detailed exposition of field theoretical methods as applied to zero-temperature Fermi liquids. The machinery of diagrammatic techniques is explained in detail, both for the ground state and for the Green's functions (propagators) that describe elementary excitations. Special attention is paid to the concept of quasiparticles in normal Fermi liquids, in continuity with those of the noninteracting gas. The phenomenological theory of Landau is justified from first principles. The extension of perturbation methods to superfluid systems is discussed in the last chapter. The book emphasizes methods and concepts more than specific applications: It is aimed at graduate students and at condensed matter physicists.

This book provides a detailed exposition of field theoretical methods as applied to zero temperature Fermi liquids. It is a product of a course taught in 1959–1960 at the University of Paris in the "Troisieme Cycle" of Theoretical and Solid-State Physics.

In one way or another, Gerry Brown has been concerned with questions about the universe, about its vast expanse as well as about its most miniscule fundamental constituents of matter throughout his entire life. In his endeavours to understand the universe in many manifestations from nuclei all the way to the stars, he has been influenced by some of the most prominent physicists of the 20th century, and he himself, in turn, has influenced a great many scholars. This volume, a collection of articles dedicated to Gerry on his 85th birthday, contains discussions of many of the issues which have attracted his interest over the years. The contributions are written by his former students, co-authors, colleagues and admirers and they are strongly influenced by Gerry''s own scientific tastes. With this compilation we want to express our respect, admiration and gratitude; we want to celebrate Gerry''s scientific and scholarly achievements, the inspirational quality of his teaching and the enthusiasm which he himself displayed in his research and which stimulated so many of his students and colleagues over the decades.

The rapidly developing topic of ultracold atoms has many actual and potential applications for condensed-matter science, and the contributions to this book emphasize these connections. Ultracold Bose and Fermi quantum gases are introduced at a level appropriate for first-year graduate students and non-specialists such as more mature general physicists. The reader will find answers to questions like: how are experiments conducted and how are the results interpreted? What are the advantages and limitations of ultracold atoms in studying many-body physics? How do experiments on ultracold atoms facilitate novel scientific opportunities relevant to the condensed-matted community? This volume seeks to be comprehensible rather than comprehensive; it aims at the level of a colloquium, accessible to outside readers, containing only minimal equations and limited references. In large part, it relies on many beautiful experiments from the past fifteen years and their very fruitful interplay with basic theoretical ideas. In this particular context, phenomena most relevant to condensed-matter science have been emphasized. - Introduces ultracold Bose and Fermi quantum gases at a level appropriate for non-specialists - Discusses landmark experiments and their fruitful interplay with basic theoretical ideas - Comprehensible rather than comprehensive, containing only minimal equations

Recent experimental and theoretical progress has elucidated the tunable crossover, in ultracold Fermi gases, from BCS-type superconductors to BEC-type superfluids. The BCS-BEC Crossover and the Unitary Fermi Gas is a collaborative effort by leading international experts to provide an up-to-date introduction and a comprehensive overview of current research in this fast-moving field. It is now understood that the unitary regime that lies right in the middle of the crossover has remarkable universal properties, arising from scale invariance, and has connections with fields as diverse as nuclear physics and string theory. This volume will serve as a first point of reference for active researchers in the field, and will benefit the many non-specialists and graduate students who require a self-contained, approachable exposition of the subject matter.

This book focuses on the topological fermion condensation quantum phase transition (FCQPT), a phenomenon that reveals the complex behavior of all strongly correlated Fermi systems, such as heavy fermion metals, quantum spin liquids, quasicrystals, and two-dimensional systems, considering these as a new state of matter. The book combines theoretical evaluations with arguments based on experimental grounds demonstrating that the entirety of very different strongly correlated Fermi systems demonstrates a universal behavior induced by FCQPT. In contrast to the conventional quantum phase transition, whose physics in the quantum critical region are dominated by thermal or quantum fluctuations and characterized by the absence of quasiparticles, the physics of a Fermi system near FCQPT are controlled by a system of quasiparticles resembling the Landau quasiparticles. The book discusses the modification of strongly correlated systems under the action of FCQPT, representing the “missing” instability, which paves the way for developing an entirely new approach to condensed matter theory; and presents this physics as a new method for studying many-body objects. Based on the authors’ own theoretical investigations, as well as salient theoretical and experimental studies conducted by others, the book is well suited for both students and researchers in the field of condensed matter physics.