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Physics Bulletin

Many-Body Problems

W. H. Young

Published Jan 1, 1970• 1 citation
Publisher

Abstract

W E Turner et al. New York: Benjamin 1969 pp vii + 265, price £2 The Institute of Physics and The Physical Society has decided to have republished selected articles, with a common theme, from Reports on Progress in Physics . The present volume on many-body problems is such a venture and contains reviews entitled 'Green functions in statistical mechanics' (Parry and Turner 1964), 'Theory and applications of the density matrix' (ter Haar 1961), 'The equation of state of dense systems' (Rowlinson 1965), 'The theory of irreversible processes' (Chester 1963), 'Quantum theory of many-body systems' (Hugenholtz 1965) and 'The fluctuation-dissipation theorem' (Kubo 1966).

DOI
10.1088/0031-9112/21/1/022

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W E Turner et al. New York: Benjamin 1969 pp vii + 265, price £2 The Institute of Physics and The Physical Society has decided to have republished selected articles, with a common theme, from Reports on Progress in Physics . The present volume on many-body problems is such a venture and contains reviews entitled 'Green functions in statistical mechanics' (Parry and Turner 1964), 'Theory and applications of the density matrix' (ter Haar 1961), 'The equation of state of dense systems' (Rowlinson 1965), 'The theory of irreversible processes' (Chester 1963), 'Quantum theory of many-body systems' (Hugenholtz 1965) and 'The fluctuation-dissipation theorem' (Kubo 1966).
Quantum many-body theory as a discipline in its own right dates largely from the 1950's. It has developed since then to its current position as one of the cornerstones of modern theoretical physics. The field remains vibrant and active, vigorous and exciting. Indeed, its successes and importance were vividly illustrated prior to the conference by the sharing of the 1998 Nobel Prizes in both Physics and Chemistry by three many-body theorists. Two of those Nobel laureates, Walter Kohn and Bob Laughlin, delivered invited lectures at this meeting, the tenth in the series of International Conferences on Recent Progress in Many-Body Theories. This series is universally recognized as being the premier series of meetings on this subject, and its proceedings have always summarized the current state of the art through the lectures of its leading practitioners. The present volume is no exception. A major aim of this conference series has been to foster the exchange of ideas between physicists working in all the diverse fields of application of quantum many-body theory. These include nuclear and subnuclear physics, quantum fluids, strongly correlated electronic systems, and low-dimensional condensed-matter systems and materials. All of these fields and others are represented in the present volume. Other topical themes covered include density functional theory and its applications to nuclear and electronic systems, quantum dots and chaos, and trapped Bose?Einstein condensates. Through this breadth of applications the reader will get a clear illustration of the power of the tools of modern microscopic quantum many-body theory, and their usefulness both in achieving a commonality of approach and understanding, and in transferring powerful ideas from one field to another.
Quantum many-body theory as a discipline in its own right dates largely from the 1950's. It has developed since then to its current position as one of the cornerstones of modern theoretical physics. The field remains vibrant and active, vigorous and exciting. Indeed, its successes and importance were vividly illustrated prior to the conference by the sharing of the 1998 Nobel Prizes in both Physics and Chemistry by three many-body theorists. Two of those Nobel laureates, Walter Kohn and Bob Laughlin, delivered invited lectures at this meeting, the tenth in the series of International Conferences on Recent Progress in Many-Body Theories. This series is universally recognized as being the premier series of meetings on this subject, and its proceedings have always summarized the current state of the art through the lectures of its leading practitioners. The present volume is no exception. A major aim of this conference series has been to foster the exchange of ideas between physicists working in all the diverse fields of application of quantum many-body theory. These include nuclear and subnuclear physics, quantum fluids, strongly correlated electronic systems, and low-dimensional condensed-matter systems and materials. All of these fields and others are represented in the present volume. Other topical themes covered include density functional theory and its applications to nuclear and electronic systems, quantum dots and chaos, and trapped Bose?Einstein condensates. Through this breadth of applications the reader will get a clear illustration of the power of the tools of modern microscopic quantum many-body theory, and their usefulness both in achieving a commonality of approach and understanding, and in transferring powerful ideas from one field to another.
The Green's function method is among the most powerful and versatile formalisms in physics, and its nonequilibrium version has proved invaluable in many research fields. With entirely new chapters and updated example problems, the second edition of this popular text continues to provide an ideal introduction to nonequilibrium many-body quantum systems and ultrafast phenomena in modern science. Retaining the unique and self-contained style of the original, this new edition has been thoroughly revised to address interacting systems of fermions and bosons, simplified many-body approaches like the GKBA, the Bloch equations and the Boltzmann equations and the connection between Green's functions and newly developed time-resolved spectroscopy techniques. Small gaps in the theory have been filled, and frequently overlooked subtleties have been systematically highlighted and clarified. With an abundance of illustrative examples, insightful discussions and modern applications, this book remains the definitive guide for students and researchers alike.