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Do quantum field theory without Feynman diagrams! Use the combinatorics behind cumulants, correlations, Green's functions and quantum fields.
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Informazioni sugli autori
John Gough is Professor of mathematical and theoretical physics at Aberystwyth University, Wales. He works in the field of quantum probability and open systems, especially quantum Markovian models that can be described in terms of the Hudson–Parthasarathy quantum stochastic calculus. His more recent work has been on the general theory of networks of quantum Markovian input-output and their applications to quantum feedback control.
Joachim Kupsch is Professor Emeritus of theoretical physics at the Technische Universität Kaiserslautern, Germany. His research has focused on scattering theory, relativistic S-matrix theory, and infinite-dimensional analysis applied to quantum field theory. His publications have examined canonical transformations, fermionic integration, and superanalysis. His later work looks at open systems and decoherence and he coauthored a book on the subject in 2003.
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Quantum Fields and Processes: A Combinatorial Approach (Cambridge Studies in Advanced Mathematics)
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Cambridge University Press, 2018
ISBN 10: 1108416764
ISBN 13: 9781108416764
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Quantum Fields and Processes A
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Cambridge University Press, 2018
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Quantum Fields and Processes: A Combinatorial Approach (Cambridge Studies in Advanced Mathematics) [Hardcover] Gough, John and Kupsch, Joachim
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Quantum Fields and Processes (Hardcover)
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Cambridge University Press, Cambridge, 2018
ISBN 10: 1108416764
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Hardcover. Condizione: new. Hardcover. 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 HudsonParthasarathy 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 WallstromRota 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, DysonSchwinger 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. This book gets to the heart of the combinatorics that binds together quantum field theory and probability with a unified framework for Wick (normal) ordering and its applications. Featuring many worked examples, it is for mathematical physicists, quantum field theorists, and probabilists, including graduate and advanced undergraduate students. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9781108416764
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QUANTUM FIELDS AND PROCESSES
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Quantum Fields and Processes (Hardcover)
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Hardcover. Condizione: new. Hardcover. 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 HudsonParthasarathy 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 WallstromRota 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, DysonSchwinger 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. This book gets to the heart of the combinatorics that binds together quantum field theory and probability with a unified framework for Wick (normal) ordering and its applications. Featuring many worked examples, it is for mathematical physicists, quantum field theorists, and probabilists, including graduate and advanced undergraduate students. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Codice articolo 9781108416764
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