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Physics Bulletin

Introduction to the Physics of Many-Body Systems

A W Gillies

Published Aug 1, 1959• 19 citations
Publisher

Abstract

By D. ter Haar London: Interscience Publishers, Ltd. Pp. viii + 127. Price 30s. This book surveys the methods which have been applied in the discussion of many-body problems in physics. After an introduction in which the basic ideas are reviewed, Part I deals with methods which try to reduce the problem to one of free particles, while Part II gives a more extensive discussion of recent work on collective behaviour theories, particularly that of Tomonaga and its developments.

DOI
10.1088/0031-9112/10/8/016

Related papers

Theories of collective behaviour

D. ter Haar

A general discussion of the problems raised by systems of many interacting particles is given in the introduction. In the second section general methods are discussed for dealing with these problems, and special attention is paid to the method developed by Tomonaga. This method is applied to the theories of sound waves (§ 3), plasma oscillations (§ 4), nuclear surface modes (§ 6), and liquid helium (§ 7). A brief discussion is also given of some aspects of spin wave theory (§ 5).

Reports on Progress in Physics•Jan 1, 1957•13 citations

Many-Body Problems

W. H. Young

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).

Physics Bulletin•Jan 1, 1970•1 citation

Introduction to the Quantum Theory

David L Hurd

David Park McGraw-Hill Publishing Co. Ltd. 1964. Pp. xv + 547. Price 83s. 6d. There are surely few branches of physics which have been so amply, and repetitively, documented as the basic principles of quantum mechanics. Suppressing an almost overwhelming impression of déjà vu, one opens this new entry to the field to find that the text is so organized as to present the discussion of the theory in Part I, and to segregate the applications to Part II, an arrangement for which there is much to be said and which, when as thoughtfully carried out as in the example under review, allows the student, and the lecturer, the opportunity to mix his own blend of theory and application.

Physics Bulletin•Feb 1, 1965•34 citations

Problems in Quantum Mechanics

Lewis Elton

By I. I. Goldman, V. D. Krivchenkov, V. I. Kogan and V. M. Galitskii. Translated, edited and arranged by D. ter Haar. London : Cleaver-Hume Press Ltd. Pp. 394. Price 42s. It has always been accepted that one cannot learn mathematics without solving a large number of problems, and the same is true of mathematical physics. Unfortunately the problems in many books on quantum mechanics are either purely mathematical or else present extensions of the subject matter of the book, which space has prevented from incorporation in the text.

Physics Bulletin•May 1, 1961•94 citations

Many Body Problems and Quantum Field Theory: An Introduction

Michel Baranger

The book gives an introduction to the concepts and methods of many-body problems and quantum fields for graduate students and researchers. The formalism is developed in close conjunction with the description of a number of physical systems: cohesion and dielectric properties of the electron gas, superconductivity, superfluidity, nuclear matter and nucleon pairing, matter and radiation, interaction of fields by particle exchange and mass generation. Emphasis is put on analogies between the various systems rather than on advanced or specialized aspects, with the purpose of illustrating common ideas in different domains of physics. The exposition is self-contained and displays in a coherent way all details of derivations starting from a basic knowledge of quantum mechanics and classical electromagnetism.

•Dec 6, 2001•30 citations

The Many Body Problem

Roger Arthur Cowley

W E Parry London: Oxford University Press 1973 pp x + 213 price £6.25 The techniques which have been developed to describe the many body problem are now widely used in the theory of condensed matter and of nuclear and atomic structure. Because of this it is becoming increasingly important for both experimental and theoretical physicists in these fields to be familiar with these techniques.

Physics Bulletin•Aug 1, 1974•0 citations
By D. ter Haar London: Interscience Publishers, Ltd. Pp. viii + 127. Price 30s. This book surveys the methods which have been applied in the discussion of many-body problems in physics. After an introduction in which the basic ideas are reviewed, Part I deals with methods which try to reduce the problem to one of free particles, while Part II gives a more extensive discussion of recent work on collective behaviour theories, particularly that of Tomonaga and its developments.
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).
David Park McGraw-Hill Publishing Co. Ltd. 1964. Pp. xv + 547. Price 83s. 6d. There are surely few branches of physics which have been so amply, and repetitively, documented as the basic principles of quantum mechanics. Suppressing an almost overwhelming impression of déjà vu, one opens this new entry to the field to find that the text is so organized as to present the discussion of the theory in Part I, and to segregate the applications to Part II, an arrangement for which there is much to be said and which, when as thoughtfully carried out as in the example under review, allows the student, and the lecturer, the opportunity to mix his own blend of theory and application.
By I. I. Goldman, V. D. Krivchenkov, V. I. Kogan and V. M. Galitskii. Translated, edited and arranged by D. ter Haar. London : Cleaver-Hume Press Ltd. Pp. 394. Price 42s. It has always been accepted that one cannot learn mathematics without solving a large number of problems, and the same is true of mathematical physics. Unfortunately the problems in many books on quantum mechanics are either purely mathematical or else present extensions of the subject matter of the book, which space has prevented from incorporation in the text.
The book gives an introduction to the concepts and methods of many-body problems and quantum fields for graduate students and researchers. The formalism is developed in close conjunction with the description of a number of physical systems: cohesion and dielectric properties of the electron gas, superconductivity, superfluidity, nuclear matter and nucleon pairing, matter and radiation, interaction of fields by particle exchange and mass generation. Emphasis is put on analogies between the various systems rather than on advanced or specialized aspects, with the purpose of illustrating common ideas in different domains of physics. The exposition is self-contained and displays in a coherent way all details of derivations starting from a basic knowledge of quantum mechanics and classical electromagnetism.