Felix Berezin Life And Death Of The Mastermind Of Supermathematics
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Felix Berezin
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Author : Mikhail A. Shifman
language : en
Publisher: World Scientific
Release Date : 2007
Felix Berezin written by Mikhail A. Shifman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Felix Berezin was an outstanding Soviet mathematician who in the 1960s and 70s was the driving force behind the emergence of the branch of mathematics now known as supermathematics. The integral over the anticommuting Grassmann variables that he introduced in the 1960s laid the foundation for the path integral formulation of quantum field theory with fermions, the heart of modern supersymmetric field theories and superstrings. The Berezin integral is named for him, as is the closely related construction of the Berezinian, which may be regarded as the superanalog of the determinant. This book features a masterfully written memoir by BerezinOCOs widow, Elena Karpel, who narrates a remarkable account of BerezinOCOs life and his struggle for survival under the totalitarian Soviet regime. Supplemented with recollections by his close friends and colleagues, BerezinOCOs accomplishments in mathematics, his novel ideas and breakthrough works, are reviewed in two articles written by Andrei Losev and Robert Minlos."
Felix Berezin Life And Death Of The Mastermind Of Supermathematics
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Author : Misha Shifman
language : en
Publisher: World Scientific
Release Date : 2007-04-27
Felix Berezin Life And Death Of The Mastermind Of Supermathematics written by Misha Shifman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-27 with Mathematics categories.
Felix Berezin was an outstanding Soviet mathematician who in the 1960s and 70s was the driving force behind the emergence of the branch of mathematics now known as supermathematics. The integral over the anticommuting Grassmann variables that he introduced in the 1960s laid the foundation for the path integral formulation of quantum field theory with fermions, the heart of modern supersymmetric field theories and superstrings. The Berezin integral is named for him, as is the closely related construction of the Berezinian, which may be regarded as the superanalog of the determinant.This book features a masterfully written memoir by Berezin's widow, Elena Karpel, who narrates a remarkable account of Berezin's life and his struggle for survival under the totalitarian Soviet regime. Supplemented with recollections by his close friends and colleagues, Berezin's accomplishments in mathematics, his novel ideas and breakthrough works, are reviewed in two articles written by Andrei Losev and Robert Minlos.
Quantum Field Theory Ii
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Author : Misha Shifman
language : en
Publisher: World Scientific
Release Date : 2019-03-12
Quantum Field Theory Ii written by Misha Shifman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-12 with Science categories.
This textbook grew out of lecture notes the author used in delivering a quantum field theory (QFT) course for students (both in high energy physics and condensed matter) who already had an initial exposure to the subject.It begins with the path integral method of quantization presented in a systematic and clear-cut manner. Perturbation theory is generalized beyond tree level, to include radiative corrections (loops). Renormalization procedures and the Wilsonian renormalization group (RG flow) are discussed, asymptotic freedom of non-Abelian gauge theories is derived, and some applications in Quantum Chromodynamics (QCD) are considered, with a brief digression into the Standard Model (SM). The SM case requires a study of the spontaneous breaking of gauge symmetry, a phenomenon which would be more appropriate to call 'Higgsing of the gauge bosons.' Other regimes attainable in gauge theories are explained as well. In the condensed matter part, the Heisenberg and Ising model are discussed. The present textbook differs from many others in that it is relatively concise and, at the same time, teaches students to carry out actual calculations which they may encounter in QFT-related applications.
Toeplitz Matrices And Operators
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Author : Nikolaï Nikolski
language : en
Publisher: Cambridge University Press
Release Date : 2020-01-02
Toeplitz Matrices And Operators written by Nikolaï Nikolski and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-02 with Mathematics categories.
A friendly introduction to Toeplitz theory and its applications throughout modern functional analysis.
Physics In A Mad World
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Author : Misha Shifman
language : en
Publisher: World Scientific
Release Date : 2015-08-28
Physics In A Mad World written by Misha Shifman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-28 with Science categories.
This book tells captivating stories of misadventures of two renowned theoretical physicists in the Soviet Union. The first part is devoted to Friedrich (Fritz) Houtermans, an outstanding Dutch-Austrian-German physicist who was the first to suggest that the source of stars' energy is thermonuclear fusion, and also made a number of other important contributions to cosmochemistry and geochemistry. In 1935, Houtermans, a German communist, in an attempt to save his life from Hilter's Gestapo, fled to the Soviet Union. He took up an appointment at the Kharkov Physico-Technical Institute, working there for two years with the Russian physicist Valentin P Fomin. In the Great Purge of 1937, Houtermans was arrested in December by the NKVD (Soviet Secret Police, KGB's predecessor). He was tortured, and confessed to being a Trotskyist plotter and German spy, out of fear of threats against his wife Charlotte. However, Charlotte had already escaped from the Soviet Union to Denmark, after which she went to England and finally the USA. As a result of the Hilter-Stalin Pact of 1939, Houtermans was turned over to the Gestapo in May 1940 and imprisoned in Berlin.The second part consists of two essays that narrate the life story of Yuri Golfand, one of the codiscoverers of supersymmetry, a major discovery in theoretical physics in the 20th century. In 1973, just two years after the publication of his seminal paper, he was fired from the Lebedev Physics Institute in Moscow. Because of his Jewish origin he could find no job. Under such circumstances, he applied for an exit visa to Israel, but his application was denied. Yuri Golfand became a refusnik and joined the Human rights movement, along with two other prominent physicists, Andrei Sakharov and Yuri Orlov. To earn his living, he had to do manual work, repeatedly being intimidated by KGB. Only 18 years later, shortly before the demise of the Soviet Union, did he obtain permission to leave the country, emigrating to Israel in 1990.These personal life stories of two outstanding theorists are interwined with the tragedies of the 20th century and make for compelling reading.
Advanced Topics In Quantum Field Theory
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Author : M. Shifman
language : en
Publisher: Cambridge University Press
Release Date : 2012-01-19
Advanced Topics In Quantum Field Theory written by M. Shifman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-19 with Science categories.
Devoted specifically to modern field theory, this is an indispensable book for graduate students and researchers in theoretical physics. It emphasizes nonperturbative phenomena and supersymmetry, and discusses various phases of gauge theories, extended objects and their quantization, and global supersymmetry from a modern perspective.
Advanced Topics In Quantum Field Theory
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Author : Mikhail Shifman
language : en
Publisher: Cambridge University Press
Release Date : 2022-04-28
Advanced Topics In Quantum Field Theory written by Mikhail Shifman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-28 with Science categories.
The Second Edition of this systematic, comprehensive text is revised to include topics developed in the last decade. A new final part presents more than 90 problems with detailed solutions, making this an indispensable book for graduate students and researchers in theoretical physics.
Mathematical Cultures
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Author : Brendan Larvor
language : en
Publisher: Birkhäuser
Release Date : 2016-05-25
Mathematical Cultures written by Brendan Larvor and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-25 with Mathematics categories.
This collection presents significant contributions from an international network project on mathematical cultures, including essays from leading scholars in the history and philosophy of mathematics and mathematics education. Mathematics has universal standards of validity. Nevertheless, there are local styles in mathematical research and teaching, and great variation in the place of mathematics in the larger cultures that mathematical practitioners belong to. The reflections on mathematical cultures collected in this book are of interest to mathematicians, philosophers, historians, sociologists, cognitive scientists and mathematics educators.
Mathematical Analysis And Applications Plenary Lectures
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Author : Luigi G. Rodino
language : en
Publisher: Springer
Release Date : 2018-11-11
Mathematical Analysis And Applications Plenary Lectures written by Luigi G. Rodino and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-11 with Mathematics categories.
This book includes the texts of the survey lectures given by plenary speakers at the 11th International ISAAC Congress held in Växjö, Sweden, on 14-18 August, 2017. It is the purpose of ISAAC to promote analysis, its applications, and its interaction with computation. Analysis is understood here in the broad sense of the word, including differential equations, integral equations, functional analysis, and function theory. With this objective, ISAAC organizes international Congresses for the presentation and discussion of research on analysis. The plenary lectures in the present volume, authored by eminent specialists, are devoted to some exciting recent developments, topics including: local solvability for subprincipal type operators; fractional-order Laplacians; degenerate complex vector fields in the plane; lower bounds for pseudo-differential operators; a survey on Morrey spaces; localization operators in Signal Theory and Quantum Mechanics. Thanks to the accessible style used, readers only need a basic command of Calculus. This book will appeal to scientists, teachers, and graduate students in Mathematics, in particular Mathematical Analysis, Probability and Statistics, Numerical Analysis and Mathematical Physics.
Cern Courier
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Author : European Organization for Nuclear Research
language : en
Publisher:
Release Date : 2008
Cern Courier written by European Organization for Nuclear Research and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Nuclear energy categories.
This journal is devoted to the latest research on physics, publishing articles on everything from elementary particle behavior to black holes and the history of the universe.