Mathematics Of Quantization And Quantum Fields

Author: Jan Dereziński
Publisher: Cambridge University Press
ISBN: 1107011116
Size: 10.50 MB
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A unique and definitive review of mathematical aspects of quantization and quantum field theory for graduate students and researchers.

Quantum Field Theory In Curved Spacetime

Author: Leonard Parker
Publisher: Cambridge University Press
ISBN: 0521877873
Size: 23.79 MB
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Suitable for graduate students, this book develops quantum field theory in curved spacetime in a pedagogical style.

Quantum Fields In Curved Space

Author: N. D. Birrell
Publisher: Cambridge University Press
ISBN: 1107392810
Size: 10.88 MB
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This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole evaporation effect, and to particle creation processes in the early universe. The last decade has witnessed a phenomenal growth in this subject. This is the first attempt to collect and unify the vast literature that has contributed to this development. All the major technical results are presented, and the theory is developed carefully from first principles. Here is everything that students or researchers will need to embark upon calculations involving quantum effects of gravity at the so-called one-loop approximation level.

Quantum Gravity In 2 1 Dimensions

Author: Steven Carlip
Publisher: Cambridge University Press
ISBN: 9780521545884
Size: 61.77 MB
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The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.

Hamiltonian Systems

Author: Alfredo M. Ozorio de Almeida
Publisher: Cambridge University Press
ISBN: 9780521386708
Size: 55.75 MB
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Hamiltonian Systems outlines the main results in the field, and considers the implications for quantum mechanics.

Quantized Detector Networks

Author: George Jaroszkiewicz
Publisher: Cambridge University Press
ISBN: 1107136237
Size: 55.68 MB
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A novel and up-to-date approach to quantum mechanics that extends the standard formalism to cover the observer and their apparatus.

Introduction To Quantum Effects In Gravity

Author: Viatcheslav Mukhanov
Publisher: Cambridge University Press
ISBN: 9780521868341
Size: 16.58 MB
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This book, first published in 2007, cover quantum field theory for undergraduates and graduates in theoretical astrophysics, cosmology, particle physics, and string theory.

Classical Covariant Fields

Author: Mark Burgess
Publisher: Cambridge University Press
ISBN: 9781139432979
Size: 62.14 MB
Format: PDF
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This 2002 book discusses the classical foundations of field theory, using the language of variational methods and covariance. It explores the limits of what can be achieved with purely classical notions, and shows how these have a deep and important connection with the second quantized field theory, which follows on from the Schwinger Action Principle. The book takes a pragmatic view of field theory, focusing on issues which are usually omitted from quantum field theory texts and cataloging results which are often hard to find in the literature. Care is taken to explain how results arise and how to interpret them physically, for graduate students starting out in the field. Many physical examples are provided, making the book an ideal supplementary text for courses on elementary field theory, group theory and dynamical systems. It will also be a valuable reference for researchers already working in these and related areas.

Aspects Of Quantum Field Theory In Curved Spacetime

Author: Stephen A. Fulling
Publisher: Cambridge University Press
ISBN: 9780521377683
Size: 23.86 MB
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The theory of quantum fields on curved spacetimes has attracted great attention since the discovery, by Stephen Hawking, of black-hole evaporation. It remains an important subject for the understanding of such contemporary topics as inflationary cosmology, quantum gravity and superstring theory. This book provides, for mathematicians, an introduction to this field of physics in a language and from a viewpoint which such a reader should find congenial. Physicists should also gain from reading this book a sound grasp of various aspects of the theory, some of which have not been particularly emphasised in the existing review literature. The topics covered include normal-mode expansions for a general elliptic operator, Fock space, the Casimir effect, the 'Klein' paradox, particle definition and particle creation in expanding universes, asymptotic expansion of Green's functions and heat kernels, and renormalisation of the stress tensor. The style is pedagogic rather than formal; some knowledge of general relativity and differential geometry is assumed, but the author does supply background material on functional analysis and quantum field theory as required. The book arose from a course taught to graduate students and could be used for self-study or for advanced courses in relativity and quantum field theory.

Local Quantum Physics

Author: Rudolf Haag
Publisher: Springer Science & Business Media
ISBN: 3642614582
Size: 22.78 MB
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The new edition provided the opportunity of adding a new chapter entitled "Principles and Lessons of Quantum Physics". It was a tempting challenge to try to sharpen the points at issue in the long lasting debate on the Copenhagen Spirit, to assess the significance of various arguments from our present vantage point, seventy years after the advent of quantum theory, where, after ali, some problems appear in a different light. It includes a section on the assumptions leading to the specific mathematical formalism of quantum theory and a section entitled "The evolutionary picture" describing my personal conclusions. Alto gether the discussion suggests that the conventional language is too narrow and that neither the mathematical nor the conceptual structure are built for eter nity. Future theories will demand radical changes though not in the direction of a return to determinism. Essential lessons taught by Bohr will persist. This chapter is essentially self-contained. Some new material has been added in the last chapter. It concerns the char acterization of specific theories within the general frame and recent progress in quantum field theory on curved space-time manifolds. A few pages on renor malization have been added in Chapter II and some effort has been invested in the search for mistakes and unclear passages in the first edition. The central objective of the book, expressed in the title "Local Quantum Physics", is the synthesis between special relativity and quantum theory to gether with a few other principles of general nature.