eBook - PDF

Quantum Fields and Processes

Name: Quantum Fields and Processes
Author: John Gough,Joachim Kupsch

A Combinatorial Approach

John Gough,

Joachim Kupsch,

English
PDF
Available on iOS & Android

eBook - PDF

Quantum Fields and Processes

A Combinatorial Approach

John Gough,

Joachim Kupsch,

About this book

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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Yes, you can access Quantum Fields and Processes by John Gough,Joachim Kupsch in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.