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Quantum Fields and Processes

- A Combinatorial Approach
Af: Joachim Kupsch, John Gough Engelsk Hardback

Quantum Fields and Processes

- A Combinatorial Approach
Af: Joachim Kupsch, John Gough Engelsk Hardback
Tjek vores konkurrenters priser
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.
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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.
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Produktdetaljer
Sprog: Engelsk
Sider: 338
ISBN-13: 9781108416764
Indbinding: Hardback
Udgave:
ISBN-10: 1108416764
Kategori: Kombinatorik og grafteori
Udg. Dato: 12 apr 2018
Længde: 24mm
Bredde: 235mm
Højde: 162mm
Forlag: Cambridge University Press
Oplagsdato: 12 apr 2018
Forfatter(e): Joachim Kupsch, John Gough
Forfatter(e) Joachim Kupsch, John Gough

Kategori Kombinatorik og grafteori

ISBN-13 9781108416764

Sprog Engelsk

Indbinding Hardback

Sider 338

Udgave

Længde 24mm

Bredde 235mm

Højde 162mm

Udg. Dato 12 apr 2018

Oplagsdato 12 apr 2018

Forlag Cambridge University Press