Author : Victor Nikolaevich Popov
Publisher : Cambridge University Press
Page : 240 pages
File Size : 15,36 MB
Release : 1987
Category : Mathematics
ISBN : 9780521407878
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
Page : 224 pages
File Size : 38,71 MB
Release : 1987
Category : Science
ISBN : 9780521307772
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
Page : 316 pages
File Size : 27,55 MB
Release : 2001-11-30
Category : Science
ISBN : 9781402003073
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 : Peter Brusov
Publisher : World Scientific
Page : 859 pages
File Size : 49,74 MB
Release : 2010
Category : Science
ISBN : 9812771239
This title gives a complete and detailed description of collective modes (CMs) in unconventional superfluids and superconductors (USC).
Author : Martin Reuter
Publisher : Cambridge University Press
Page : 357 pages
File Size : 12,53 MB
Release : 2019-01-03
Category : Science
ISBN : 1107107326
A self-contained pedagogical introduction to asymptotic safety and the functional renormalization group in quantum gravity, for graduate students and researchers.
Author : V.N. Popov
Publisher : Springer Science & Business Media
Page : 228 pages
File Size : 43,61 MB
Release : 2012-12-06
Category : Science
ISBN : 9400929838
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.
Author : Allan Griffin
Publisher : Cambridge University Press
Page : 322 pages
File Size : 48,93 MB
Release : 1993-08-19
Category : Science
ISBN : 0521432715
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.
Author : Fiorenzo Bastianelli
Publisher : Cambridge University Press
Page : 47 pages
File Size : 34,13 MB
Release : 2006-07-20
Category : Science
ISBN : 1139456849
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.
Author : V.lG. Kiselev
Publisher : CRC Press
Page : 453 pages
File Size : 45,95 MB
Release : 2000-11-17
Category : Science
ISBN : 1482287528
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
Author : Hagen Kleinert
Publisher : World Scientific Publishing Company
Page : 423 pages
File Size : 14,45 MB
Release : 2017-12-22
Category : Science
ISBN : 9813223960
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.
