Selected Papers of Léon Rosenfeld


Book Description

The decision to undertake this volume was made in 1971 at Lake Como during the Varenna summer school ofthe Italian Physical Society, where Professor Leon Rosenfeld was lecturing on the history of quantum theory. We had long been struck by the unique blend of epistemological, histori cal and social concerns in his work on the foundations and development of physics, and decided to approach him there with the idea of publishing a collection of his papers. He responded enthusiastically, and agreed to help us select the papers; furthermore, he also agreed to write a lengthy introduction and to comment separately on those papers that he felt needed critical re-evaluation in the light of his current views. For he was still vigorously engaged in both theoretical investigations of, and critical not reflections on the foundations of theoretical physics. We certainly did conceive of the volume as a memorial to a 'living saint', but rather more practically, as a useful tool to place in the hands of fellow workers and students engaged in wrestling with these difficult problems. All too sadly, fate has added a memorial aspect to our labors. We agreed that in order to make this book most useful for the con temporary community of physicists and philosophers, we should trans late all non-English items into English.




Research in Progress


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Fundamental Processes of Atomic Dynamics


Book Description

This volume contains the lectures presented at the NATO Advanced study Institute "Fundamental Processes of Atomic Dynamics" held in Maratea. Italy from September 20th to October 2nd 1987. The institute and this volume were conceived as a natural complement to previous institutes held in Maratea (1982) and in Santa Flavia (1984. ) whose proceedings are to be found in NATO ASI Series B vol. 103 and 134 respectively. The subject matter of these institutes was the study of the funda mental processes occurring in the interactions of atoms with photons. electrons and heavy-ions. The aim has been to unify these processes in a coherent experimen tal and theoretical approach. The present volume brings this approach up to date and contains in addition. for contrast and variety. a description of similar dynamical processes in the study of clusters and surfaces. The institute was opened with a lecture by Joe Macek in which he summarised the current status of atomic collision research. propounded the philosophy of a unified approach to structure, fragmentation and collision and posed the outstanding questions in the field. This lecture forms the introduction to this volume. The subject matter was divided into experiment and theory with the lectures inter-linked so that the one could re-inforce the other. The whole of the theoretical part of the institute was organised by Ugo Fano as an on-going symposium.




NBS Special Publication


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Group Theory and Its Applications


Book Description

Group Theory and its Applications, Volume II covers the two broad areas of applications of group theory, namely, all atomic and molecular phenomena, as well as all aspects of nuclear structure and elementary particle theory. This volume contains five chapters and begins with the representation and tensor operators of the unitary groups. The next chapter describes wave equations, both Schrödinger's and Dirac's for a wide variety of potentials. These topics are followed by discussions of the applications of dynamical groups in dealing with bound-state problems of atomic and molecular physics. A chapter explores the connection between the physical constants of motion and the unitary group of the Hamiltonian, the symmetry adaptation with respect to arbitrary finite groups, and the Dixon method for computing irreducible characters without the occurrence of numerical errors. The last chapter deals with the study of the extension, representation, and applications of Galilei group. This book will prove useful to mathematicians, practicing engineers, and physicists.




Group Theory in Chemistry and Spectroscopy


Book Description

This handbook on group theory is geared toward chemists and experimental physicists who use spectroscopy and require knowledge of the electronic structures of the materials they investigate. Accessible to undergraduate students, it takes an elementary approach to many of the key concepts. Rather than the deductive method common to books on mathematics and theoretical physics, the present volume introduces fundamental concepts with simple examples, relating them to specific chemical and physical problems. The text is centered on detailed analysis of examples. Since neither chemists nor spectroscopists require theorem proofs, very few appear here. Instead, the focus remains on the principal conclusions, their meaning, and their use. In keeping with the text's practical bias, the main results of group theory are presented in all sections as procedures, making possible their systematic and step-by-step-application. Each chapter contains problems that develop practical skill and provide a valuable supplement to the text.




Group Theoretical Methods in Physics


Book Description

This book discusses group theoretical methods and their applications in physics, chemistry, and biology. It covers traditional subjects including Lie group and representation theory, special functions, foundations of quantum mechanics, and elementary particle, nuclear, atomic, and molecular physics. More recent areas discussed are supersymmetry, superstrings and quantum gravity, integrability, nonlinear systems and quantum chaos, semigroups, time asymmetry and resonances, condensed matter, and statistical physics. Topics such as linear and nonlinear optics, quantum computing, discrete systems, and signal analysis have only in the last few years become part of the group theorists' turf.