Rudolf Ernst Peierls

Problems in theoretical physics often lead to paradoxical answers; yet closer reasoning and a more complete analysis invariably lead to the resolution of the paradox and to a deeper understanding of the physics involved. Drawing primarily from his own experience and that of his collaborators, Sir Rudolf Peierls selects examples of such "surprises" from a wide range of physical theory, from quantum mechanical scattering theory to the theory of relativity, from irreversibility in statistical mechanics to the behavior of electrons in solids. By studying such surprises and learning what kind of possibilities to look for, he suggests, scientists may be able to avoid errors in future problems. In some cases the surprise is that the outcome of a calculation is contrary to what physical intuition seems to demand. In other instances an approximation that looks convincing turns out to be unjustified, or one that looks unreasonable turns out to be adequate. Professor Peierls does not suggest, however, that theoretical physics is a hazardous game in which one can never foresee the surprises a detailed calculation might reveal. Rather, he contends, all the surprises discussed have rational explanations, most of which are very simple, at least in principle. This book is based on the author's lectures at the University of Washington in the spring of 1977 and at the Institut de Physique Nucleaire, University de Paris-Sud, Orsay, during the winter of 1977-1978.

Surprises in Theoretical Physics

Rudolf Peierls

Richard Henry Dalitz

This book is a collection of the major scientific papers of Sir Rudolf Peierls (1907-95), including the Peierls-Frisch Memoranda of 1940 on the feasibility, and the predicted human effects, of an atomic bomb made of uranium-235. His papers range widely in topic. They include much on the fundamentals of solid state physics, the thermal and electric conductivity of materials as a function of temperature T (especially T→0), the interpretation of the de Haas-van Alphen effect observed for a metal in a magnetic field, and the basics of transport theory. Many are on problems in statistical mechanics, including his constructive paper demonstrating the existence of a phase transition for Ising's model for a two-dimensional ferromagnet. In nuclear physics, they include the first calculations (with Bethe) on the photo-disintegration of the deuteron (made in response to a challenge by Chadwick), the Kapur-Peierls theory of resonance phenomena in nuclear reactions, the Bohr-Peierls-Placzek continuum model for complex nuclei (which first explained the narrow resonances observed for low energy neutrons incident on very heavy nuclei), and the Peierls-Thouless variational approach to collective phenomena in nuclei. Several of Peierls's wartime papers, now declassified, are here published for the first time.Brief commentaries on most of the papers in this book were added by Peierls, to indicate subsequent developments and their relationship with other work, or to correct errors found later on. A complete bibliography of his writings is given as an appendix.

With Commentary

Selected Scientific Papers of Sir Rudolf Peierls

Sabine Lee

Noncommutative differential geometry is a novel approach to geometry that is paving the way for exciting new directions in the development of mathematics and physics. The contributions in this volume are based on papers presented at a workshop dedicated to enhancing international cooperation between mathematicians and physicists in various aspects of frontier research on noncommutative differential geometry. The active contributors present both the latest results and comprehensive reviews of topics in the area. The book is accessible to researchers and graduate students interested in a variety of mathematical areas related to noncommutative geometry and its interface with modern theoretical physics.

Rudolf Ernst Peierls

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