Boulevard Of Broken Symmetries

Boulevard of Broken Symmetries PDF
Author: Adriaan M. J. Schakel
Publisher: World Scientific
ISBN: 981281390X
Size: 27.44 MB
Format: PDF
Category : Science
Languages : en
Pages : 390
View: 7053

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Boulevard Of Broken Symmetries

by Adriaan M. J. Schakel, Boulevard Of Broken Symmetries Books available in PDF, EPUB, Mobi Format. Download Boulevard Of Broken Symmetries books, 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.


Topological Defects And The Non Equilibrium Dynamics Of Symmetry Breaking Phase Transitions

Topological Defects and the Non Equilibrium Dynamics of Symmetry Breaking Phase Transitions PDF
Author: Yuriy M. Bunkov
Publisher: Springer Science & Business Media
ISBN: 9780792362043
Size: 30.85 MB
Format: PDF
Category : Science
Languages : en
Pages : 394
View: 4247

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Topological Defects And The Non Equilibrium Dynamics Of Symmetry Breaking Phase Transitions

by Yuriy M. Bunkov, Topological Defects And The Non Equilibrium Dynamics Of Symmetry Breaking Phase Transitions Books available in PDF, EPUB, Mobi Format. Download Topological Defects And The Non Equilibrium Dynamics Of Symmetry Breaking Phase Transitions books, Topological defects formed at symmetry-breaking phase transitions play an important role in many different fields of physics. They appear in many condensed-matter systems at low temperature; examples include vortices in superfluid helium-4, a rich variety of defects in helium-3, quantized mag netic flux tubes in type-II superconductors, and disclination lines and other defects in liquid crystals. In cosmology, unified gauge theories of particle interactions suggest a sequence of phase transitions in the very early uni verse some of which may lead to defect formation. In astrophysics, defects play an important role in the dynamics of neutron stars. In 1997 the European Science Foundation started the scientific network "Topological defects" headed by Tom Kibble. This network has provided us with a unique opportunity of establishing a collaboration between the representatives of these very different branches of modern physics. The NATO-ASI (Advanced Study Institute), held in Les Houches in February 1999 thanks to the support of the Scientific Division of NATO, the European Science Foundation and the CNRS, represents a key event of this ESF network. It brought together participants from widely different fields, with diverse expertise and vocabulary, fostering the exchange of ideas. The lectures given by particle physicists, cosmologists and condensed matter physicists are the result of the fruitful collaborations established since 1997 between groups in several European countries and in the U.S.A.


Introduction To The Theory Of Critical Phenomena

Introduction to the Theory of Critical Phenomena PDF
Author: Dimo I. Uzunov
Publisher: World Scientific
ISBN: 9814299499
Size: 30.73 MB
Format: PDF, ePub, Docs
Category : Science
Languages : en
Pages : 673
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Introduction To The Theory Of Critical Phenomena

by Dimo I. Uzunov, Introduction To The Theory Of Critical Phenomena Books available in PDF, EPUB, Mobi Format. Download Introduction To The Theory Of Critical Phenomena books, This book provides a comprehensive introduction to the theory of phase transitions and critical phenomena. The content covers a period of more than 100 years of theoretical research of condensed matter phases and phase transitions providing a clear interrelationship with experimental problems. It starts from certain basic University knowledge of thermodynamics, statistical physics and quantum mechanics. The text is illustrated with classic examples of phase transitions. Various types of phase transition and (multi)critical points are introduced and explained. The classic aspects of the theory are naturally related with the modern developments. This interrelationship and the field-theoretical renormalization group method are presented in details. The main applications of the renormalization group methods are presented. Special attention is paid to the description of quantum phase transitions. This edition contains a more detailed presentation of the renormalization group method and its applications to particular systems.


Path Integrals In Quantum Mechanics Statistics Polymer Physics And Financial Markets

Path Integrals in Quantum Mechanics  Statistics  Polymer Physics  and Financial Markets PDF
Author: Hagen Kleinert
Publisher: World Scientific Publishing Company
ISBN: 9813106026
Size: 52.62 MB
Format: PDF
Category :
Languages : en
Pages : 1504
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Path Integrals In Quantum Mechanics Statistics Polymer Physics And Financial Markets

by Hagen Kleinert, Path Integrals In Quantum Mechanics Statistics Polymer Physics And Financial Markets Books available in PDF, EPUB, Mobi Format. Download Path Integrals In Quantum Mechanics Statistics Polymer Physics And Financial Markets books, This is the third, significantly 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. Request Inspection Copy


Recent Advances In Multireference Methods

Recent Advances in Multireference Methods PDF
Author: Kimihiko Hirao
Publisher: World Scientific
ISBN: 9789810237776
Size: 69.72 MB
Format: PDF, ePub, Mobi
Category : Science
Languages : en
Pages : 214
View: 3620

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Recent Advances In Multireference Methods

by Kimihiko Hirao, Recent Advances In Multireference Methods Books available in PDF, EPUB, Mobi Format. Download Recent Advances In Multireference Methods books, Recently, accurate ab initio quantum computational chemistry has evolved dramatically. In particular, the development of multireference-based approaches has opened up a whole new area and has also had a profound impact on the potential of theoretical chemistry. The multiconfigurational SCF (MCSCF)/CASSCF method is an attempt to generalize the Hartree-Fock (HF) model and to treat real chemical processes, where nondynamic correlation is important, while keeping the conceptual simplicity of the HF model as much as possible. Although MCSCF/CASSCF itself does not include dynamic correlations, it provides a good starting point for such studies. There are three approaches to handling dynamic correlations. Beginning with the MSSCF/CASSCF wave function, they are the variational (MRCI), perturbational (MRPT) and cluster expansion (MRCC) approaches. This important book presents the most recent and important developments in multireference-based approaches and their applications. Its main purpose is to highlight essential aspects of the frontiers of multireference theory and provide readers with the fundamental knowledge necessary for further development.