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Quantum fields and processes = a com...

Gough, John, (1967-)

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Quantum fields and processes = a combinatorial approach /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantum fields and processes/ John Gough, Aberystwyth University, Joachim Kupsch, University of Kaiserslautern.
Reminder of title:	a combinatorial approach /
Author:	Gough, John,
other author:	Kupsch, Joachim,
Published:	Cambridge :Cambridge University Press, : 2018.,
Description:	xv, 324 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 04 Apr 2018).
Subject:	Combinatorial analysis. -
Online resource:	https://doi.org/10.1017/9781108241885
ISBN:	9781108241885

Quantum fields and processes = a combinatorial approach /
Gough, John,1967-

Quantum fields and processesa combinatorial approach /[electronic resource] :John Gough, Aberystwyth University, Joachim Kupsch, University of Kaiserslautern. - Cambridge :Cambridge University Press,2018. - xv, 324 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;171. - Cambridge studies in advanced mathematics ;171..

Title from publisher's bibliographic system (viewed on 04 Apr 2018).

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.

ISBN: 9781108241885Subjects--Topical Terms:

523878
Combinatorial analysis.

LC Class. No.: QA165 / .G68 2018

Dewey Class. No.: 530.143015116

Quantum fields and processes = a combinatorial approach /
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245 1 0 $a Quantum fields and processes $h [electronic resource] : $b a combinatorial approach / $c John Gough, Aberystwyth University, Joachim Kupsch, University of Kaiserslautern.
260 $a Cambridge : $b Cambridge University Press, $c 2018.
300 $a xv, 324 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 171
500 $a Title from publisher's bibliographic system (viewed on 04 Apr 2018).
520 $a 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.
650 0 $a Combinatorial analysis. $3 523878
650 0 $a Quantum field theory. $3 523766
650 0 $a Probabilities. $3 518889
700 1 $a Kupsch, Joachim, $d 1939- $3 3470603
830 0 $a Cambridge studies in advanced mathematics ; $v 171. $3 3470604
856 4 0 $u https://doi.org/10.1017/9781108241885