Sarada G Rajeev – författare
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2 produkter
1 594 kr
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A P Balachandran has a long and impressive record of research in particle physics and quantum field theory, bringing concepts of geometry, topology and operator algebras to the analysis of physical problems, particularly in particle physics and condensed matter physics. He has also had an influential role within the physics community, not only in terms of a large number of students, research associates and collaborators, but also serving on the editorial boards of important publications, including the International Journal of Modern Physics A.This book consists of articles by students and associates of Balachandran. Most of the articles are scientific in nature, with topics ranging from noncommutative geometry, particle physics phenomenology, to condensed matter physics. Various chapters focus on new perspectives and directions resulting from Balachandran's contributions to physics, as well as some reminiscences of collaborating and working with Balachandran.
1 337 kr
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Group Theory has been an essential tool of theoretical physics for about a century. During the early days of quantum theory, it was useful to formulate symmetries of systems and to solve for their spectra. Later it was found, in the standard model, that certain groups determine the fundamental interactions of elementary particle. It is not possible to understand modern theoretical physics without knowing group theory.This book is an introduction to group theoretical ideas that arising in classical or quantum mechanics as well as Gield theory. The emphasis is on concepts, although some calculations are done in detail. The intended audience is a graduate student who has already learned mechanics, quantum mechanics as well as some Gield theory (e.g., Maxwell equations in their relativistic form).Among the topics covered are the rotation group and its representations; group extensions and their relevance to spinors; the Lorentz group and relativistic wave equations; the gaussian unitary ensemble of random matrices; the quark model; the Peter-Weyl theorem for Ginite groups as well as compact Lie groups.There are hints that future physics will need symmetries that go beyond the idea of a group. An introduction to such "quantum groups" is included as well.The book concludes with a study of a class of mechanical systems (Euler-Arnold) which include the rigid body and the ideal Gluids as examples. Some toy models that are one step away from being exactly solvable are studied as examples of chaos.