Quantum Fields and Processes - A Combinatorial Approach

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

Sommario

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.

Info autore

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.

Riassunto

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.

Dettagli sul prodotto

• Autori: John Gough, John (Aberystwyth University) Gough, John (Aberystwyth University) Kupsch Gough, GOUGH JOHN, Joachim Kupsch, Joachim (Aberystwyth University) Kupsch, Joachim (Technische Universitat Kaiserslautern Kupsch, Kupsch Joachim
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 31.03.2018
• EAN: 9781108416764
• ISBN: 978-1-108-41676-4
• Pagine: 338
• Serie: Cambridge Studies in Advanced Mathematics; Cambridge Studies in Advanced; Cambridge Studies in Advanced Mathematics; Cambridge Studies in Advanced
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Altro; SCIENCE / Physics / Quantum Theory, MATHEMATICS / Combinatorics, Quantum physics (quantum mechanics & quantum field theory), Quantum physics (quantum mechanics and quantum field theory), Combinatorics & graph theory, Combinatorics and graph theory