Quantum Fields — Algebras, Processes, L. Streit

Автор: Jouko Mickelsson
Название: Current Algebras and Groups
ISBN: 1475702973 ISBN-13(EAN): 9781475702972
Издательство: Springer
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Описание: In this book we shall study infinite-dimensional Lie algebras associated both to the group Map(M, G) of smooth mappings from M to G and to the group of dif- feomorphisms of M. In the former case the Lie algebra of the group is the algebra Mg of smooth mappings from M to the Lie algebra gof G.

Автор: Carlsen
Название: Operator Algebras and Applications
ISBN: 3319392840 ISBN-13(EAN): 9783319392844
Издательство: Springer
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Описание: Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras. It is interesting to see the remarkable advances that have been made in operator algebras over these years, which strikingly illustrate the vitality of the field. A total of 26 talks were given at the symposium on a variety of themes, all highlighting the richness of the subject.The field of operator algebras was created in the 1930s and was motivated by problems of quantum mechanics. It has subsequently developed well beyond its initial intended realm of applications and expanded into such diverse areas of mathematics as representation theory, dynamical systems, differential geometry, number theory and quantum algebra. One branch, known as “noncommutative geometry”, has become a powerful tool for studying phenomena that are beyond the reach of classical analysis.This volume includes research papers that present new results, surveys that discuss the development of a specific line of research, and articles that offer a combination of survey and research. These contributions provide a multifaceted portrait of beautiful mathematics that both newcomers to the field of operator algebras and seasoned researchers alike will appreciate.

Автор: Baulieu, Laurent; Iliopoulos, John; Seneor, Roland
Название: From Classical to Quantum Fields
ISBN: 0198788401 ISBN-13(EAN): 9780198788409
Издательство: Oxford Academ
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Описание: Quantum Field Theory has become the universal language of most modern theoretical physics. This introductory textbook shows how this beautiful theory offers the correct mathematical framework to describe and understand the fundamental interactions of elementary particles.

Автор: Costello
Название: Factorization Algebras in Quantum Field Theory
ISBN: 1107163102 ISBN-13(EAN): 9781107163102
Издательство: Cambridge Academ
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Описание: Ideal for researchers and graduates in mathematics and physics, this volume develops factorization algebras while highlighting examples exhibiting their use in field theory, such as the recovery of a vertex algebra from a chiral conformal field theory. This first volume also includes expositions of the relevant background in homological algebra, sheaves and functional analysis.

Автор: Francesco Iachello
Название: Lie Algebras and Applications
ISBN: 3662444933 ISBN-13(EAN): 9783662444931
Издательство: Springer
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Цена: 5589.00 р.
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Описание: Lie Algebras and Applications

Автор: Wilhelm Waldenfels
Название: A Measure Theoretical Approach to Quantum Stochastic Processes
ISBN: 3642450814 ISBN-13(EAN): 9783642450815
Издательство: Springer
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Описание: Starting from the premise that abstract quantum stochastic processes can be understood as a quantum field theory in one space and time coordinate, this guide considers a number of representative examples and covers advanced topics such as white noise calculus.