Mathematics of Quantization and Quantum Fields

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Mathematics
Cover of the book Mathematics of Quantization and Quantum Fields by Jan Dereziński, Christian Gérard, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Jan Dereziński, Christian Gérard ISBN: 9781107326705
Publisher: Cambridge University Press Publication: March 7, 2013
Imprint: Cambridge University Press Language: English
Author: Jan Dereziński, Christian Gérard
ISBN: 9781107326705
Publisher: Cambridge University Press
Publication: March 7, 2013
Imprint: Cambridge University Press
Language: English

Unifying a range of topics that are currently scattered throughout the literature, this book offers a unique and definitive review of mathematical aspects of quantization and quantum field theory. The authors present both basic and more advanced topics of quantum field theory in a mathematically consistent way, focusing on canonical commutation and anti-commutation relations. They begin with a discussion of the mathematical structures underlying free bosonic or fermionic fields, like tensors, algebras, Fock spaces, and CCR and CAR representations (including their symplectic and orthogonal invariance). Applications of these topics to physical problems are discussed in later chapters. Although most of the book is devoted to free quantum fields, it also contains an exposition of two important aspects of interacting fields: diagrammatics and the Euclidean approach to constructive quantum field theory. With its in-depth coverage, this text is essential reading for graduate students and researchers in departments of mathematics and physics.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Unifying a range of topics that are currently scattered throughout the literature, this book offers a unique and definitive review of mathematical aspects of quantization and quantum field theory. The authors present both basic and more advanced topics of quantum field theory in a mathematically consistent way, focusing on canonical commutation and anti-commutation relations. They begin with a discussion of the mathematical structures underlying free bosonic or fermionic fields, like tensors, algebras, Fock spaces, and CCR and CAR representations (including their symplectic and orthogonal invariance). Applications of these topics to physical problems are discussed in later chapters. Although most of the book is devoted to free quantum fields, it also contains an exposition of two important aspects of interacting fields: diagrammatics and the Euclidean approach to constructive quantum field theory. With its in-depth coverage, this text is essential reading for graduate students and researchers in departments of mathematics and physics.

More books from Cambridge University Press

Cover of the book The Role of Emotion in 1 Peter by Jan Dereziński, Christian Gérard
Cover of the book The Extermination of the European Jews by Jan Dereziński, Christian Gérard
Cover of the book Pragmatism and American Experience by Jan Dereziński, Christian Gérard
Cover of the book Quantum Monte Carlo Methods by Jan Dereziński, Christian Gérard
Cover of the book An Anthology of Informal Latin, 200 BC–AD 900 by Jan Dereziński, Christian Gérard
Cover of the book The Shakespearean Archive by Jan Dereziński, Christian Gérard
Cover of the book Applied Stochastic Differential Equations by Jan Dereziński, Christian Gérard
Cover of the book The Polish Underground and the Jews, 1939–1945 by Jan Dereziński, Christian Gérard
Cover of the book Influence from Abroad by Jan Dereziński, Christian Gérard
Cover of the book Global International Society by Jan Dereziński, Christian Gérard
Cover of the book UN Peacekeeping Operations and the Protection of Civilians by Jan Dereziński, Christian Gérard
Cover of the book AP Foreign Correspondents in Action by Jan Dereziński, Christian Gérard
Cover of the book Petrology of Sedimentary Rocks by Jan Dereziński, Christian Gérard
Cover of the book Educating China by Jan Dereziński, Christian Gérard
Cover of the book Migration in the Mediterranean by Jan Dereziński, Christian Gérard
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy