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The Neglect of Experiment
What role have experiments played, and should they play, in physics? How does one come to believe rationally in experimental results? The Neglect of Experiment attempts to provide answers to both of these questions. Professor Franklin's approach combines the detailed study of four episodes in the history of twentieth century physics with an examination of some of the philosophical issues involved. The episodes are the discovery of parity nonconservation ( or the violation of mirror symmetry) in the 1950s; the nondiscovery of parity nonconservation in the 1930s, when the results of experiments indicated, at least in retrospect, the symmetry violation, but the significance of those results was...
Noncompact Lie Groups and Some of Their Applications
During the past two decades representations of noncompact Lie groups and Lie algebras have been studied extensively, and their application to other branches of mathematics and to physical sciences has increased enormously. Several theorems which were proved in the abstract now carry definite mathematical and physical sig nificance. Several physical observations which were not understood before are now explained in terms of models based on new group-theoretical structures such as dy namical groups and Lie supergroups. The workshop was designed to bring together those mathematicians and mathematical physicists who are actively working in this broad spectrum of research and to provide them with...
Quantum-like Models And Coherent Effects - Proceedings Of The 27th Workshop Of The Infn Eloisation Project
During the last decades frontieres in various branches of physics have been investigated, especially for describing coherent effects, with very similar methodologies. In particular, the quantum-like formalism has recently received a great deal of attention for describing a number of 'classical topics', such as charged particle beam optics and dynamics in accelerating machines, plasma physics, nonlinear optics, transmission lines, solid state physics. On the other hand, proper quantum models that have been applied to coherent correlated states, squeezed states, macroscopic quantum coherence in superconductivity, superradiance in condensed matter, stochastic mechanics, have also been recently developed in way fully similar to the one used for quantum-like models. The quantum-like approach seems, therefore, to form a common basis for understanding the observations in many diverse field of science.This volume collects very significant examples of these common methodologies that have been given by various quantum-like approaches for describing numerious physical scenarios in the above branches of physics.
Model and Mathematics: From the 19th to the 21st Century
This open access book collects the historical and medial perspectives of a systematic and epistemological analysis of the complicated, multifaceted relationship between model and mathematics, ranging from, for example, the physical mathematical models of the 19th century to the simulation and digital modelling of the 21st century. The aim of this anthology is to showcase the status of the mathematical model between abstraction and realization, presentation and representation, what is modeled and what models. This book is open access under a CC BY 4.0 license.
Autosolitons
This monograph is devoted to an entirely new branch of nonlinear physics - solitary intrinsic states, or autosolitons, which form in a broad class of physical, chemical and biological dissipative systems. Autosolitons are often observed as highly nonequilibrium regions in slightly nonequilibrium systems, in many ways resembling ball lightning which occurs in the atmosphere. We develop a new approach to problems of self-organization and turbulence, treating these phenomena as a result of spontaneous formation and subsequent evolution of autosolitons. Scenarios of self-organization involve sophisticated interactions between autosolitons, whereas turbulence is regarded as a pattern of autosolit...
The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology
The present book has been written by two mathematicians and one physicist: a pure mathematician specializing in Finsler geometry (Makoto Matsumoto), one working in mathematical biology (Peter Antonelli), and a mathematical physicist specializing in information thermodynamics (Roman Ingarden). The main purpose of this book is to present the principles and methods of sprays (path spaces) and Finsler spaces together with examples of applications to physical and life sciences. It is our aim to write an introductory book on Finsler geometry and its applications at a fairly advanced level. It is intended especially for graduate students in pure mathemat ics, science and applied mathematics, but sh...
Relativistic Quantum Mechanics of Leptons and Fields
The material contained in this work concerns relativistic quantum mechanics, and as such pertains to classical fields. On the one hand it is meant to serve as a text on the subject, a desire stemming from the author's fruitless searches for an adequate, up-to-date reference when lecturing on these topics. At times the supplementary material was found to exceed by far that in the assigned text. On the other hand, there is some flavor of a monograph to what follows, most particularly in the later chapters, for a major goal is to demonstrate just how far we can advance our understanding of the behavior of stable particles and their interactions without introducing quantized fields. Those wishin...
