Boulevard Of Broken Symmetries

Author : Adriaan M. J. Schakel
Publisher : World Scientific
ISBN 13 : 981281390X
Total Pages : 413 pages
Book Rating : 4.09/5 ( download)

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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.

Author : Adriaan M J Schakel
Publisher : World Scientific Publishing Company
ISBN 13 : 9813107197
Total Pages : 412 pages
Book Rating : 4.99/5 ( download)

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Download or read book Boulevard of Broken Symmetries written by Adriaan M J Schakel and published by World Scientific Publishing Company. This book was released on 2008-10-28 with total page 412 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.

Author : Adriaan M. J. Schakel
Publisher :
ISBN 13 : 9789812813916
Total Pages : 413 pages
Book Rating : 4.18/5 ( download)

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Download or read book Boulevard of Broken Symmetries written by Adriaan M. J. Schakel and published by . This book was released on 2008 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Yuriy M. Bunkov
Publisher : Springer Science & Business Media
ISBN 13 : 9780792362043
Total Pages : 406 pages
Book Rating : 4.47/5 ( download)

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Download or read book Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions written by Yuriy M. Bunkov and published by Springer Science & Business Media. This book was released on 2000-02-29 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Kuzemsky Alexander Leonidovich
Publisher : World Scientific
ISBN 13 : 981314565X
Total Pages : 1260 pages
Book Rating : 4.58/5 ( download)

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Download or read book Statistical Mechanics And The Physics Of Many-particle Model Systems written by Kuzemsky Alexander Leonidovich and published by World Scientific. This book was released on 2017-02-24 with total page 1260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the study of the correlation effects in many-particle systems. It presents the advanced methods of quantum statistical mechanics (equilibrium and nonequilibrium), and shows their effectiveness and operational ability in applications to problems of quantum solid-state theory, quantum theory of magnetism and the kinetic theory. The book includes description of the fundamental concepts and techniques of analysis following the approach of N N Bogoliubov's school, including recent developments. It provides an overview that introduces the main notions of quantum many-particle physics with the emphasis on concepts and models. This book combines the features of textbook and research monograph. For many topics the aim is to start from the beginning and to guide the reader to the threshold of advanced researches. Many chapters include also additional information and discuss many complex research areas which are not often discussed in other places. The book is useful for established researchers to organize and present the advanced material disseminated in the literature. The book contains also an extensive bibliography. The book serves undergraduate, graduate and postgraduate students, as well as researchers who have had prior experience with the subject matter at a more elementary level or have used other many-particle techniques.

Author : Paul Preuss
Publisher : Diversion Books
ISBN 13 : 1626818835
Total Pages : 408 pages
Book Rating : 4.35/5 ( download)

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Download or read book Broken Symmetries written by Paul Preuss and published by Diversion Books. This book was released on 2015-06-23 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Paul Preuss has done a fine thing. He has written a magnificent book in BROKEN SYMMETRIES. I admire his knowledge and artistry." —Roger Zelazny BROKEN SYMMETRIES introduces theoretical physicist Peter Slater and world-traveling photojournalist Anne-Marie Brand. They meet in Hawaii, where Anne-Marie is in pursuit of a story about the giant atom-smasher TERAC, the newest and biggest particle accelerator in the world, built amidst the pineapple fields of Oahu. Dr. Martin Edovich is the triumphant scientist behind the project—he claims that "his" discovery of I-particles will win him the Nobel Prize and change the face of physics. But Peter Slater predicted the existence of I-particles long ago and suspects that they are unstable—explosive and potentially cataclysmic. And as TERAC ramps up, Slater’s theory is about to be tested. The symmetries of matter itself are about to be unexpectedly broken, unleashing the fury of self-annihilation...

Author : Hagen Kleinert
Publisher : World Scientific Publishing Company
ISBN 13 : 9813101717
Total Pages : 1592 pages
Book Rating : 4.15/5 ( download)

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Download or read book Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets written by Hagen Kleinert and published by World Scientific Publishing Company. This book was released on 2006-07-19 with total page 1592 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.

Author : Hagen Kleinert
Publisher : World Scientific Publishing Company
ISBN 13 : 9813106026
Total Pages : 1505 pages
Book Rating : 4.24/5 ( download)

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Download or read book Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets written by Hagen Kleinert and published by World Scientific Publishing Company. This book was released on 2004-03-05 with total page 1505 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Dimo I. Uzunov
Publisher : World Scientific
ISBN 13 : 9814299499
Total Pages : 701 pages
Book Rating : 4.97/5 ( download)

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Download or read book Introduction to the Theory of Critical Phenomena written by Dimo I. Uzunov and published by World Scientific. This book was released on 2010 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : A. Comtet
Publisher : Springer Science & Business Media
ISBN 13 : 3540669094
Total Pages : 912 pages
Book Rating : 4.98/5 ( download)

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Download or read book Aspects topologiques de la physique en basse dimension. Topological aspects of low dimensional systems written by A. Comtet and published by Springer Science & Business Media. This book was released on 2000-01-20 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: Session LXIX. 7 - 31 July 1998