Quantum Fields and Processes

A Combinatorial Approach

Nonfiction, Science & Nature, Mathematics, Probability, Statistics
Cover of the book Quantum Fields and Processes by John Gough, Joachim Kupsch, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: John Gough, Joachim Kupsch ISBN: 9781108266048
Publisher: Cambridge University Press Publication: March 31, 2018
Imprint: Cambridge University Press Language: English
Author: John Gough, Joachim Kupsch
ISBN: 9781108266048
Publisher: Cambridge University Press
Publication: March 31, 2018
Imprint: Cambridge University Press
Language: English

Wick ordering of creation and annihilation operators is of fundamental importance for computing averages and correlations in quantum field theory and, by extension, in the Hudson–Parthasarathy theory of quantum stochastic processes, quantum mechanics, stochastic processes, and probability. This book develops the unified combinatorial framework behind these examples, starting with the simplest mathematically, and working up to the Fock space setting for quantum fields. Emphasizing ideas from combinatorics such as the role of lattice of partitions for multiple stochastic integrals by Wallstrom–Rota and combinatorial species by Joyal, it presents insights coming from quantum probability. It also introduces a 'field calculus' which acts as a succinct alternative to standard Feynman diagrams and formulates quantum field theory (cumulant moments, Dyson–Schwinger equation, tree expansions, 1-particle irreducibility) in this language. Featuring many worked examples, the book is aimed at mathematical physicists, quantum field theorists, and probabilists, including graduate and advanced undergraduate students.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Wick ordering of creation and annihilation operators is of fundamental importance for computing averages and correlations in quantum field theory and, by extension, in the Hudson–Parthasarathy theory of quantum stochastic processes, quantum mechanics, stochastic processes, and probability. This book develops the unified combinatorial framework behind these examples, starting with the simplest mathematically, and working up to the Fock space setting for quantum fields. Emphasizing ideas from combinatorics such as the role of lattice of partitions for multiple stochastic integrals by Wallstrom–Rota and combinatorial species by Joyal, it presents insights coming from quantum probability. It also introduces a 'field calculus' which acts as a succinct alternative to standard Feynman diagrams and formulates quantum field theory (cumulant moments, Dyson–Schwinger equation, tree expansions, 1-particle irreducibility) in this language. Featuring many worked examples, the book is aimed at mathematical physicists, quantum field theorists, and probabilists, including graduate and advanced undergraduate students.

More books from Cambridge University Press

Cover of the book The State of Freedom by John Gough, Joachim Kupsch
Cover of the book The Consul at Rome by John Gough, Joachim Kupsch
Cover of the book A History of English Autobiography by John Gough, Joachim Kupsch
Cover of the book Archaeology and Urban Settlement in Late Roman and Byzantine Anatolia by John Gough, Joachim Kupsch
Cover of the book South Africa, Greece, Rome by John Gough, Joachim Kupsch
Cover of the book International Liquidity and the Financial Crisis by John Gough, Joachim Kupsch
Cover of the book The Cambridge Companion to Shakespeare's First Folio by John Gough, Joachim Kupsch
Cover of the book Children's Fantasy Literature by John Gough, Joachim Kupsch
Cover of the book Homer's Trojan Theater by John Gough, Joachim Kupsch
Cover of the book Landslides by John Gough, Joachim Kupsch
Cover of the book The Newborn Brain by John Gough, Joachim Kupsch
Cover of the book Music, Sound and Space by John Gough, Joachim Kupsch
Cover of the book The Cambridge Companion to John Dryden by John Gough, Joachim Kupsch
Cover of the book The Cambridge History of the Book in Britain: Volume 6, 1830–1914 by John Gough, Joachim Kupsch
Cover of the book A History of Psychology in Western Civilization by John Gough, Joachim Kupsch
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy