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Functional Integrals And Collective Excitations
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Book Synopsis Functional Integrals and Collective Excitations by : Victor Nikolaevich Popov
Download or read book Functional Integrals and Collective Excitations written by Victor Nikolaevich Popov and published by Cambridge University Press. This book was released on 1987 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Functional Integrals and Collective Excitations by : Victor Nikolaevich Popov
Download or read book Functional Integrals and Collective Excitations written by Victor Nikolaevich Popov and published by Cambridge University Press. This book was released on 1987 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Functional Integrals in Quantum Field Theory and Statistical Physics by : V.N. Popov
Download or read book Functional Integrals in Quantum Field Theory and Statistical Physics written by V.N. Popov and published by Springer Science & Business Media. This book was released on 2001-11-30 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Collective Excitations in Unconventional Superconductors and Superfluids by : Peter Brusov
Download or read book Collective Excitations in Unconventional Superconductors and Superfluids written by Peter Brusov and published by World Scientific. This book was released on 2010 with total page 859 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title gives a complete and detailed description of collective modes (CMs) in unconventional superfluids and superconductors (USC).
Book Synopsis Collective Effects in Quantum Statistics of Radiation and Matter by : V.N. Popov
Download or read book Collective Effects in Quantum Statistics of Radiation and Matter written by V.N. Popov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Material particles, electrons, atoms, molecules, interact with one another by means of electromagnetic forces. That is, these forces are the cause of their being combined into condensed (liquid or solid) states. In these condensed states, the motion of the particles relative to one another proceeds in orderly fashion; their individual properties as well as the electric and magnetic dipole moments and the radiation and absorption spectra, ordinarily vary little by comparison with their properties in the free state. Exceptiotls are the special so-called collective states of condensed media that are formed under phase transitions of the second kind. The collective states of matter are characterized to a high degree by the micro-ordering that arises as a result of the interaction between the particles and which is broken down by chaotic thermal motion under heating. Examples of such pheonomena are the superfluidity of liquid helium, and the superconductivity and ferromagnetism of metals, which exist only at temperatures below the critical temperature. At low temperature states the particles do not exhibit their individual characteristics and conduct themselves as a single whole in many respects. They flow along capillaries in ordered fashion and create an undamped current in a conductor or a macroscopic magnetic moment. In this regard the material acquires special properties that are not usually inherent to it.
Book Synopsis Collective Classical And Quantum Fields: In Plasmas, Superconductors, Superfluid 3he, And Liquid Crystals by : Hagen Kleinert
Download or read book Collective Classical And Quantum Fields: In Plasmas, Superconductors, Superfluid 3he, And Liquid Crystals written by Hagen Kleinert and published by World Scientific Publishing Company. This book was released on 2017-12-22 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory book dealing with collective phenomena in many-body systems. A gas of bosons or fermions can show oscillations of various types of density. These are described by different combinations of field variables. Especially delicate is the competition of these variables. In superfluid 3He, for example, the atoms can be attracted to each other by molecular forces, whereas they are repelled from each other at short distance due to a hardcore repulsion. The attraction gives rise to Cooper pairs, and the repulsion is overcome by paramagnon oscillations. The combination is what finally led to the discovery of superfluidity in 3He. In general, the competition between various channels can most efficiently be studied by means of a classical version of the Hubbard-Stratonovich transformation.A gas of electrons is controlled by the interplay of plasma oscillations and pair formation. In a system of rod- or disc-like molecules, liquid crystals are observed with directional orientations that behave in unusual five-fold or seven-fold symmetry patterns. The existence of such a symmetry was postulated in 1975 by the author and K Maki. An aluminium material of this type was later manufactured by Dan Shechtman which won him the 2014 Nobel prize. The last chapter presents some solvable models, one of which was the first to illustrate the existence of broken supersymmetry in nuclei.
Book Synopsis Excitations in a Bose-condensed Liquid by : Allan Griffin
Download or read book Excitations in a Bose-condensed Liquid written by Allan Griffin and published by Cambridge University Press. This book was released on 1993-08-19 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gives an up-to-date, systematic account of the microscopic theory of Bose-condensed fluids developed since the late 1950s. In contrast to the usual phenomenological discussions of superfluid 4He, the present treatment is built on the pivotal role of the Bose broken symmetry and a Bose condensate. The many-body formalism is developed, with emphasis on the one- and two-particle Green's functions and their relation to the density response function. These are all coupled together by the Bose broken symmetry, which provides the basis for understanding the elementary excitations and response functions in the hydrodynamic and collisionless regions. It also explains the difference between excitations in the superfluid and normal phases. Chapter 4 gives the first critical assessment of the experimental evidence for a Bose condensate in liquid 4He, based on high-momentum neutron scattering data.
Book Synopsis Path Integrals and Anomalies in Curved Space by : Fiorenzo Bastianelli
Download or read book Path Integrals and Anomalies in Curved Space written by Fiorenzo Bastianelli and published by Cambridge University Press. This book was released on 2006-07-20 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces path integrals, a powerful method for describing quantum phenomena, and then uses them to compute anomalies in quantum field theories. An advanced text for researchers and graduate students of quantum field theory and string theory, it also provides a stand-alone introduction to path integrals in quantum mechanics.
Book Synopsis Functional Integrals and Statistical Physics by : S. G. Brush
Download or read book Functional Integrals and Statistical Physics written by S. G. Brush and published by . This book was released on 1959 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Quantum Field Theory by : V.lG. Kiselev
Download or read book Introduction to Quantum Field Theory written by V.lG. Kiselev and published by CRC Press. This book was released on 2000-11-17 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text explains the features of quantum and statistical field systems that result from their field-theoretic nature and are common to different physical contexts. It supplies the practical tools for carrying out calculations and discusses the meaning of the results. The central concept is that of effective action (or free energy), and the main t
Book Synopsis Functional Integration and Quantum Physics by : Barry Simon
Download or read book Functional Integration and Quantum Physics written by Barry Simon and published by American Mathematical Soc.. This book was released on 1979 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on probabilistic foundations of the Feynman-Kac formula. Starting with main examples of Gaussian processes (the Brownian motion, the oscillatory process, and the Brownian bridge), this book presents four different proofs of the Feynman-Kac formula.
Book Synopsis Universal Themes of Bose-Einstein Condensation by : Nick P. Proukakis
Download or read book Universal Themes of Bose-Einstein Condensation written by Nick P. Proukakis and published by Cambridge University Press. This book was released on 2017-04-27 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering general theoretical concepts and the research to date, this book demonstrates that Bose-Einstein condensation is a truly universal phenomenon.
Book Synopsis Boulevard of Broken Symmetries by : Adriaan M. J. Schakel
Download or read book Boulevard of Broken Symmetries written by Adriaan M. J. Schakel and published by World Scientific. This book was released on 2008 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers the main topics in contemporary condensed matter physics in a modern and unified way, using quantum field theory in the functional-integral approach. The book highlights symmetry aspects in acknowledging that much of the collective behaviors of condensed matter systems at low temperatures emerge above a nontrivial ground state, which spontaneously breaks the symmetry.The emphasis is on effective field theories which provide an efficient and powerful description that is valid at long wavelengths and low frequencies. In conjunction with the emphasis on effective theories, a modern approach towards renormalization is taken, whereby a wavenumber cut-off is introduced to set a scale beyond which the microscopic model under consideration ceases to be valid. The unique and innovative character of this presentation, free of historical constraints, allows for a compact and self-contained treatment of the main topics in contemporary condensed matter physics.
Book Synopsis Coherence and Quantum Optics VIII by : N.P. Bigelow
Download or read book Coherence and Quantum Optics VIII written by N.P. Bigelow and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 699 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Eighth Rochester Conference on Coherence and Quantum Optics was held on the campus of the University of Rochester during the period June 13-16,2001. This volume contains the proceedings of the meeting. The meeting was preceded by an affiliated conference, the International Conference on Quantum Information, with some overlapping sessions on June 13. The proceedings of the affiliated conference will be published separately by the Optical Society of America. A few papers that were presented in common plenary sessions of the two conferences will be published in both proceedings volumes. More than 268 scientists from 28 countries participated in the week long discussions and presentations. This Conference differed from the previous seven in the CQO series in several ways, the most important of which was the absence of Leonard Mandel. Professor Mandel died a few months before the conference. A special memorial symposium in his honor was held at the end of the conference. The presentations from that symposium are included in this proceedings volume. An innovation, that we believe made an important contribution to the conference, was the inclusion of a series of invited lectures chaired by CQO founder Emil Wolf, reviewing the history of the fields of coherence and quantum optics before about 1970. These were given by three prominent participants in the development of the field, C. Cohen-Tannoudji, 1. F. Clauser, and R. I. Glauber.
Book Synopsis Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets by : Hagen Kleinert
Download or read book Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets written by Hagen Kleinert and published by World Scientific. This book was released on 2009 with total page 1626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological restrictions. These are relevant to the understanding of the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics. The Chern-Simons theory of particles with fractional statistics (anyons) is introduced and applied to explain the fractional quantum Hall effect." "The relevance of path integrals to financial markets is discussed, and improvements of the famous Black-Scholes formula for option prices are developed which account for the fact that large market fluctuations occur much more frequently than in Gaussian distributions." --Book Jacket.
Book Synopsis Quantum Field Theory in Condensed Matter Physics by : Naoto Nagaosa
Download or read book Quantum Field Theory in Condensed Matter Physics written by Naoto Nagaosa and published by Springer Science & Business Media. This book was released on 1999-09-20 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Path Integrals In Quantum Mechanics, Statistics, Polymer Physics, And Financial Markets (4th Edition) by : Hagen Kleinert
Download or read book Path Integrals In Quantum Mechanics, Statistics, Polymer Physics, And Financial Markets (4th Edition) written by Hagen Kleinert and published by World Scientific Publishing Company. This book was released on 2006-07-19 with total page 1593 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the fourth, expanded edition of the comprehensive textbook published in 1990 on the theory and applications of path integrals. It is the first book to explicitly solve path integrals of a wide variety of nontrivial quantum-mechanical systems, in particular the hydrogen atom. The solutions have become possible by two major advances. The first is a new euclidean path integral formula which increases the restricted range of applicability of Feynman's famous formula to include singular attractive 1/r and 1/r2 potentials. The second is a simple quantum equivalence principle governing the transformation of euclidean path integrals to spaces with curvature and torsion, which leads to time-sliced path integrals that are manifestly invariant under coordinate transformations.In addition to the time-sliced definition, the author gives a perturbative definition of path integrals which makes them invariant under coordinate transformations. A consistent implementation of this property leads to an extension of the theory of generalized functions by defining uniquely integrals over products of distributions.The powerful Feynman-Kleinert variational approach is explained and developed systematically into a variational perturbation theory which, in contrast to ordinary perturbation theory, produces convergent expansions. The convergence is uniform from weak to strong couplings, opening a way to precise approximate evaluations of analytically unsolvable path integrals.Tunneling processes are treated in detail. The results are used to determine the lifetime of supercurrents, the stability of metastable thermodynamic phases, and the large-order behavior of perturbation expansions. A new variational treatment extends the range of validity of previous tunneling theories from large to small barriers. A corresponding extension of large-order perturbation theory also applies now to small orders.Special attention is devoted to path integrals with topological restrictions. These are relevant to the understanding of the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics. The Chern-Simons theory of particles with fractional statistics (anyons) is introduced and applied to explain the fractional quantum Hall effect.The relevance of path integrals to financial markets is discussed, and improvements of the famous Black-Scholes formula for option prices are given which account for the fact that large market fluctuations occur much more frequently than in the commonly used Gaussian distributions.The author's other book on ‘Critical Properties of φ4 Theories’ gives a thorough introduction to the field of critical phenomena and develops new powerful resummation techniques for the extraction of physical results from the divergent perturbation expansions.
