This volume contains the collected works of the eminent chemist and physicist Lars Onsager, one of the most influential scientists of the 20th Century.The volume includes Onsager's previously unpublished PhD thesis, a biography by H C Longuet-Higgins and M E Fisher, an autobiographical commentary, selected photographs, and a list of Onsager discussion remarks in print.Onsager's scientific achievements were characterized by deep insights into the natural sciences. His two best-known accomplishments are his reciprocal relations for irreversible processes, for which he received the 1968 Nobel Prize in Chemistry, and his explicit solution of the two-dimensional Ising model, a mathematical tour de force that created a sensation when it appeared. In addition, he made significant theoretical contributions to other fields, including electrolytes, colloids, superconductivity, turbulence, ice, electrons in metals, and dielectrics.In this volume, Onsager's contributions are divided into the following fields: irreversible processes; the Ising model; electrolytes; colloids; helium II and vortex quantization; off-diagonal long-range order and flux quantization; electrons in metal; turbulence; ion recombination; fluctuation theory; dielectrics; ice and water; biology; Mathieu functions. The different fields are evaluated by leading experts. The commentators are P W Anderson, R Askey, A Chorin, C Domb, R J Donnelly, W Ebeling, J-C Justice, H N W Lekkerkerker, P Mazur, H P McKean, J F Nagle, T Odijk, A B Pippard, G Stell, G H Weiss, and C N Yang.

This invaluable volume is a collection of conference talks by James D Bjorken, who has made a huge impact on particle physics and the development of the Standard Model. The earliest of these talks was given in 1965, and the latest in 1990. The book provides, from a personal perspective, a glimpse of the complex evolution of the field over those highly productive decades.In Conclusion: A Collection of Summary Talks in High Energy Physics is aimed at a broad spectrum of particle physicists and students, both experimental and theoretical.

This important book contains selected research papers of Prof Bunji Sakita. Included are his pioneering papers on SU(6) symmetry, strong coupling theory, string theory, supersymmetry and the method of collective coordinates. There is also a vivid personal account of his journey in physics. The book brings to light some of the key concepts of modern high energy physics.

This book is a collection of Professor Chen Ning Yang's personally selected papers (1971-2012) supplemented by his commentaries. Its contents reflect the professor's changing interests after he reached age sixty.

Professor Chen Ning Yang, an eminent contemporary physicist, was Professor at the Institute for Advanced Study, Princeton, New Jersey, from 1955 to 1966, and Albert Einstein Professor of Physics at the State University of New York at Stony Brook until his retirement in 1999. He has been Distinguished Professor-at-Large at the Chinese University of Hong Kong since 1986 and Professor at Tsinghua University, Beijing, since 1998.Since receiving his PhD from the University of Chicago in 1948, Prof Yang has made great impacts in both abstract theory and phenomenological analysis in modern physics. In 1983, he published “Selected Papers (1945-1980), With Commentary”. It has been considered by Freeman Dyson as one of his favorite books. The present book is a sequel to that earlier volume. It is a collection of his personally selected papers (1971-2012) supplemented by his insightful commentaries. Its contents reflect Professor Yang's changing interests after he reached age sixty. It also includes commentaries written by him in 2011 when he is 89 years old.The papers and commentaries in this unique collection comprise a remarkable personal and professional chronicle, shedding light on both the intellectual development of a great physicist and on the nature of scientific inquiry.

In the year 2000, the city of Bologna was the European Capital for Culture. For this reason, the University of Bologna and its Academy of Sciences, following the Gugliemo Marconi Centenary and the Luigi Galvani Bicentenary Celebrations, decided to call attention to the major achievements of their most distinguished members, in science and technology.This invaluable volume presents a series of inventions and technological developments, some thought of and directly implemented by Professor Antonino Zichichi, others suggested and developed under his leadership, all of them having contributed to the discovery of new particles and new phenomena in the field of subnuclear physics. The book was conceived by an eminent scientist, Professor Dr Björn H Wiik, Director of Germany's most prestigious physics laboratory, DESY (Hamburg). It would not be published were it not for Professor Dr Albrecht Wagner, Chairman of the DESY Board of Directors, and Dr Horst Wenninger from CERN (Geneva), the greatest European physics laboratory.

This book is the seventh volume of review chapters on advanced problems of phase transitions and critical phenomena, the former six volumes appeared in 2004, 2007, 2012, 2015, 2018, and 2020. The aim of the book is to provide reviews in those aspects of criticality and related subjects that are currently attracting much attention due to essential new contributions.The book consists of five chapters. They discuss criticality of complex systems, where the new, emergent properties appear via collective behaviour of simple elements as well as historical aspects of studies in the field of critical phenomena. Since all complex systems involve cooperative behaviour between many interconnected components, the field of phase transitions and critical phenomena provides a very natural conceptual and methodological framework for their study.As the first six volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the 'Ising lectures' — a traditional annual workshop on complex systems, phase transitions and critical phenomena which aims to bring together experts in these fields with university students and those who are interested in the subject.

This invaluable book is a selection of papers by theoretical physicist and Nobel laureate J Robert Schrieffer. In addition to his Nobel Prize-winning work in superconductivity, Prof Schrieffer has made significant contributions to a wide variety of topics in condensed matter physics. These include the theory of soliton excitations in polyacetylene (a clear example of spin-charge separation in a condensed matter system), paramagnon theory, magnetic impurities, the physics of surfaces, high-Tc superconductivity, and the fractional quantum Hall effect.The papers are reviewed and placed in context by leading experts. The guest contributors are A Alexandrov (on electrons and phonons), T Einstein (on surfaces,) S Kivelson (on quantum Hall effect), D Scalapino (on the BCS theory of superconductivity), F Wilczek (on solitons and fractional quantum numbers), J W Wilkins (on magnetic impurities) and S C Zhang (on high-Tc superconductivity).

Julian Schwinger (1918-1994) was one of the giants of 20th Century science. He contributed to a broad range of topics in theoretical physics, ranging from classical electrodynamics to quantum mechanics, from nuclear physics through quantum electrodynamics to the general theory of quantum fields. Although his mathematical prowess was legendary, he was fundamentally a phenomenologist. He received many awards, including the first Einstein Prize in 1951, and the Nobel Prize in 1965, which he shared with Richard Feynman and Sin-itiro Tomonaga for the self-consistent formulation of quantum electrodynamics into a practical theory. His more than 70 doctoral students have played a decisive role in the development of science in the second half of this century.This important volume includes many of Schwinger's most important papers, on the above and other topics, such as the theory of angular momentum and the theory of many-body systems. The papers collected here continue to underlie much of the work done by theoretical physicists today.

This book discusses some ways of doing mathematical work and the subject matter that is being worked upon and created. It argues that the conventions we adopt, the subject areas we delimit, what we can prove and calculate about the physical world, and the analogies that work for mathematicians--all depend on mathematics, what will work out and what won't. And the mathematics, as it is done, is shaped and supported, or not, by convention, subject matter, calculation, and analogy. The causes studied include the central limit theorem of statistics, the sound of the shape of a drum, the connection between algebra and topology, the stability of matter, the Ising model, and the Langlands Program in number theory and representation theory. Contents: Convention: How Means and Variances are Entrenched as Statistics; Subject: The Fields of Topology; Appendix: The Two-Dimensional Ising Model of a Ferromagner; Calculation: Strategy, Structure, and Tactics in Applying Classical Analysis; Analogy; A Syzygy Between a research Program in Mathematics and a Research Program in Physics, Each of Which is Itself an Analogy; Mathematics in Concreto. Readership: Mathematicians, Physicists, philosophers and historians of science.