Quantum Fields and Processes, 9781108416764
Hardcover
Unifying quantum fields, stochastic processes, and combinatorics for novel insights.

Quantum Fields and Processes

a combinatorial approach

$241.63

  • Hardcover

    338 pages

  • Release Date

    12 April 2018

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Summary

Quantum Fields and Combinatorial Structures

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 F…

Book Details

ISBN-13:9781108416764
ISBN-10:1108416764
Series:Cambridge Studies in Advanced Mathematics
Author:John Gough, Joachim Kupsch
Publisher:Cambridge University Press
Imprint:Cambridge University Press
Format:Hardcover
Number of Pages:338
Release Date:12 April 2018
Weight:620g
Dimensions:234mm x 155mm x 24mm
What They're Saying

Critics Review

‘This book offers an excellent account of the probabilistic aspects of quantum theory, focused on the interplay between quantum field theory and quantum stochastic calculus. The text is highly accessible thanks to the careful choice of topics and the systematic use of elegant combinatorial and algebraic methods. This makes the book suitable for graduate level teaching and self-study. I highly recommend it as a timely addition to the classical literature on quantum probability.’ Madalin Guta, University of Nottingham

About The Author

John Gough

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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