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Author: Victor Nikolaevich Popov
Publisher: Cambridge University Press
ISBN: 9780521407878
Category : Mathematics
Languages : en
Pages : 240
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Book Description
This book describes the theory and selected applications of one of the most important mathematical tools used in the theoretical investigation of collective excitations in statistical physics, such as occur in superfluidity, superconductivity, plasma dynamics, superradiation, and in phase transitions.
Author: Victor Nikolaevich Popov
Publisher: Cambridge University Press
ISBN: 9780521407878
Category : Mathematics
Languages : en
Pages : 240
Get Book Here
Book Description
This book describes the theory and selected applications of one of the most important mathematical tools used in the theoretical investigation of collective excitations in statistical physics, such as occur in superfluidity, superconductivity, plasma dynamics, superradiation, and in phase transitions.
Author: Victor Nikolaevich Popov
Publisher: Cambridge University Press
ISBN: 9780521307772
Category : Science
Languages : en
Pages : 224
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Book Description
A distinguished physicist and leading researcher describes the theory and selected applications of one of the most important mathematical tools used in the theoretical investigation of collective excitations in statistical physics.
Author: V.N. Popov
Publisher: Springer Science & Business Media
ISBN: 9781402003073
Category : Science
Languages : en
Pages : 316
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Book Description
Functional integration is one of the most powerful methods of contempo rary theoretical physics, enabling us to simplify, accelerate, and make clearer the process of the theoretician's analytical work. Interest in this method and the endeavour to master it creatively grows incessantly. This book presents a study of the application of functional integration methods to a wide range of contemporary theoretical physics problems. The concept of a functional integral is introduced as a method of quantizing finite-dimensional mechanical systems, as an alternative to ordinary quantum mechanics. The problems of systems quantization with constraints and the manifolds quantization are presented here for the first time in a monograph. The application of the functional integration methods to systems with an infinite number of degrees of freedom allows one to uniquely introduce and formulate the diagram perturbation theory in quantum field theory and statistical physics. This approach is significantly simpler than the widely accepted method using an operator approach.
Author: Yuri Makeenko
Publisher: Cambridge University Press
ISBN: 1009402056
Category : Science
Languages : en
Pages : 433
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Book Description
Author: Alex Kamenev
Publisher: Cambridge University Press
ISBN: 1108488250
Category : Science
Languages : en
Pages : 513
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Book Description
A detailed treatment of the modern functional approach to non-equilibrium field-theoretical methods, now in its Second Edition.
Author: Naoto Nagaosa
Publisher: Springer Science & Business Media
ISBN: 9783540655374
Category : Science
Languages : en
Pages : 220
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Book Description
This is an approachable introduction to the important topics and recent developments in the field of condensed matter physics. First, the general language of quantum field theory is developed in a way appropriate for dealing with systems having a large number of degrees of freedom. This paves the way for a description of the basic processes in such systems. Applications include various aspects of superfluidity and superconductivity, as well as a detailed description of the fractional quantum Hall liquid.
Author: Juan A. Valiente Kroon
Publisher: Cambridge University Press
ISBN: 1107033896
Category : Mathematics
Languages : en
Pages : 625
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Book Description
A systematic and self-contained account, which adopts a geometric approach to study the solutions of Einstein's theory of gravity.
Author: Sreerup Raychaudhuri
Publisher: Cambridge University Press
ISBN: 1316571513
Category : Science
Languages : en
Pages : 343
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Book Description
The possibility that we live in a higher-dimensional world with spatial dimensions greater than three started with the early work of Kaluza and Klein. However, in addressing experimental constraints, early model-builders were forced to compactify these extra dimensions to very tiny scales. With the development of brane-world scenarios it became possible to consider novel compactifications which allow the extra dimensions to be large or to provide observable effects of these dimensions at experimentally accessible energy scales. This book provides a comprehensive account of these recent developments, keeping the high-energy physics implications in focus. After an historical survey of the idea of extra dimensions, the book deals in detail with models of large extra dimensions, warped extra dimensions and other models such as universal extra dimensions. The theoretical and phenomenological implications are discussed in a pedagogical manner for both researchers and graduate students.
Author: Rodolfo Gambini
Publisher: Cambridge University Press
ISBN: 9780521654753
Category : Mathematics
Languages : en
Pages : 344
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Book Description
Now in paperback, this text provides a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity. Loop representations (and the related topic of knot theory) are of considerable current interest because they provide a unified arena for the study of the gauge invariant quantization of Yang-Mills theories and gravity, and suggest a promising approach to the eventual unification of the four fundamental forces. This text begins with a detailed review of loop representation theory. It then goes on to describe loop representations in Maxwell theory, Yang-Mills theories as well as lattice techniques. Applications in quantum gravity are then discussed in detail. Following chapters move on to consider knot theories, braid theories and extended loop representations in quantum gravity. A final chapter assesses the current status of the theory and points out possible directions for future research.
Author: Istvan Montvay
Publisher: Cambridge University Press
ISBN: 9780521599177
Category : Mathematics
Languages : en
Pages : 512
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Book Description
Presents a comprehensive and coherent account of the theory of quantum fields on a lattice.
