John Gough, Joachim Kupsch

Quantum Fields and Processes

A Combinatorial Approach

• Gebundenes Buch

Produktbeschreibung

Do quantum field theory without Feynman diagrams! Use the combinatorics behind cumulants, correlations, Green's functions and quantum fields.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 338
• Erscheinungstermin: 12. April 2018
• Englisch
• Abmessung: 233mm x 159mm x 25mm
• Gewicht: 621g
• ISBN-13: 9781108416764
• ISBN-10: 1108416764
• Artikelnr.: 48955462

Autorenporträt

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.

Inhaltsangabe

Preface
Notation
1. Introduction to combinatorics
2. Probabilistic Moments and Cumulants
3. Quantum probability
4. Quantum fields
5. Combinatorial species
6. Combinatorial aspects of quantum fields: Feynman diagrams
7. Entropy, large deviations and legendre transforms
8. Introduction to Fock spaces
9. Operators and fields on the Boson Fock space
10. L2-representations of the Boson Fock space
11. Local fields on the Boson Fock space: free fields
12. Local fields on the Boson Fock space: interacting fields
13. Quantum stochastic calculus
14. Quantum stochastic limits
Bibliography
Index.