000 02507nam a22003738i 4500
001 CR9781108241885
003 UkCbUP
005 20200124160338.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 161223s2018||||enk o ||1 0|eng|d
020 _a9781108241885 (ebook)
020 _z9781108416764 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA165
_b.G68 2018
082 0 0 _a530.14/3015116
_223
100 1 _aGough, John,
_d1967-
_eauthor.
245 1 0 _aQuantum fields and processes :
_ba combinatorial approach /
_cJohn Gough, Aberystwyth University, Joachim Kupsch, University of Kaiserslautern.
264 1 _aCambridge :
_bCambridge University Press,
_c2018.
300 _a1 online resource (xv, 324 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v171
500 _aTitle from publisher's bibliographic system (viewed on 04 Apr 2018).
520 _aWick 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 _aCombinatorial analysis.
650 0 _aQuantum field theory.
650 0 _aProbabilities.
700 1 _aKupsch, Joachim,
_d1939-
_eauthor.
776 0 8 _iPrint version:
_z9781108416764
830 0 _aCambridge studies in advanced mathematics ;
_v171.
856 4 0 _uhttps://doi.org/10.1017/9781108241885
999 _c523218
_d523216