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Quantum fields and processes = a com...

Gough, John, (1967-)

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Quantum fields and processes = a combinatorial approach /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Quantum fields and processes/ John Gough, Aberystwyth University, Joachim Kupsch, University of Kaiserslautern.
其他題名:	a combinatorial approach /
作者:	Gough, John,
其他作者:	Kupsch, Joachim,
出版者:	Cambridge :Cambridge University Press, : 2018.,
面頁冊數:	xv, 324 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 04 Apr 2018).
標題:	Combinatorial analysis. -
電子資源:	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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