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On Certain Unitary Representations Of An Infinite Group Of Transformations Thesis By Leon Van Hove
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Book Synopsis On Certain Unitary Representations of an Infinite Group of Transformations by : Lon Hove
Download or read book On Certain Unitary Representations of an Infinite Group of Transformations written by Lon Hove and published by World Scientific. This book was released on 2001 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: On April 20, 1951, Lon Van Hove presented his thesis ?Sur certaines reprsentations unitaires d'un groupe infini de transformations' to the Universit libre de Bruxelles (Free University of Brussels), two days before the University of Grenoble had approved the creation of L'Ecole d't de physique thorique at Les Houches (Haute Savoie, France). The first session of the ?Ecole des Houches? began on July 15, 1951, with a month-long course by Van Hove on quantum mechanics. The lecture notes for this course were written for the benefit of physicists who ? like most of their colleagues outside the US, Canada, and England at that time ? did not know quantum mechanics but wanted to learn it seriously. Van Hove's course met their expectations fully. The physics course benefitted from the mathematical expertise of the lecturer, which is also apparent in this thesis. Without his own research as scaffolding, Van Hove could not have built the short and beautiful course which provided the participants with a solid, useful foundation in modern physics.The lecture notes are in French. If they had been in English they would have been published together with the translation of the thesis. The first three pages of the notes are reproduced at the end of this book. The set of notes was reproduced by stencils and distributed to the participants at the beginning of the course.The translation of Lon Van Hove's thesis was initiated in late 2000, when Bob Hermann, formerly in the Department of Mathematics at MIT, sent to Van Hove's son Michel his view on the thesis: ?I would consider it as one of the most important mathematical physics papers of the past fifty years, containing the key ideas for what has become known as ?geometric quantization.?? Indeed, the thesis is interesting both to historians of science and to theoretical physicists and mathematicians exploring the relationships between quantum and classical physics, based on the Hilbert-space approach to classical mechanics.
Book Synopsis On Certain Unitary Representations Of An Infinite Group Of Transformations - Thesis By Leon Van Hove by : Marcus Berg
Download or read book On Certain Unitary Representations Of An Infinite Group Of Transformations - Thesis By Leon Van Hove written by Marcus Berg and published by World Scientific. This book was released on 2001-05-17 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: On April 20, 1951, Léon Van Hove presented his thesis “Sur certaines représentations unitaires d'un groupe infini de transformations' to the Université libre de Bruxelles (Free University of Brussels), two days before the University of Grenoble had approved the creation of L'Ecole d'été de physique théorique at Les Houches (Haute Savoie, France). The first session of the “Ecole des Houches” began on July 15, 1951, with a month-long course by Van Hove on quantum mechanics. The lecture notes for this course were written for the benefit of physicists who — like most of their colleagues outside the US, Canada, and England at that time — did not know quantum mechanics but wanted to learn it seriously. Van Hove's course met their expectations fully. The physics course benefitted from the mathematical expertise of the lecturer, which is also apparent in this thesis. Without his own research as scaffolding, Van Hove could not have built the short and beautiful course which provided the participants with a solid, useful foundation in modern physics.The lecture notes are in French. If they had been in English they would have been published together with the translation of the thesis. The first three pages of the notes are reproduced at the end of this book. The set of notes was reproduced by stencils and distributed to the participants at the beginning of the course.The translation of Léon Van Hove's thesis was initiated in late 2000, when Bob Hermann, formerly in the Department of Mathematics at MIT, sent to Van Hove's son Michel his view on the thesis: “I would consider it as one of the most important mathematical physics papers of the past fifty years, containing the key ideas for what has become known as ‘geometric quantization.’” Indeed, the thesis is interesting both to historians of science and to theoretical physicists and mathematicians exploring the relationships between quantum and classical physics, based on the Hilbert-space approach to classical mechanics.
Book Synopsis Lecture Notes on Condensed Matter Physics (a Work in Progress) by : Daniel Arovas
Download or read book Lecture Notes on Condensed Matter Physics (a Work in Progress) written by Daniel Arovas and published by . This book was released on 2014-12-17 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lecture Notes on Condensed Matter Physics (A Work in Progress)By Daniel Arovas
Book Synopsis The Theory of Spinors by : Élie Cartan
Download or read book The Theory of Spinors written by Élie Cartan and published by Courier Corporation. This book was released on 2012-04-30 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes orthgonal and related Lie groups, using real or complex parameters and indefinite metrics. Develops theory of spinors by giving a purely geometric definition of these mathematical entities.
Book Synopsis Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory by : J.-B. Bru
Download or read book Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory written by J.-B. Bru and published by Springer. This book was released on 2016-11-30 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lieb-Robinson bounds for multi-commutators are effective mathematical tools to handle analytic aspects of infinite volume dynamics of non-relativistic quantum particles with short-range, possibly time-dependent interactions.In particular, the existence of fundamental solutions is shown for those (non-autonomous) C*-dynamical systems for which the usual conditions found in standard theories of (parabolic or hyperbolic) non-autonomous evolution equations are not given. In mathematical physics, bounds on multi-commutators of an order higher than two can be used to study linear and non-linear responses of interacting particles to external perturbations. These bounds are derived for lattice fermions, in view of applications to microscopic quantum theory of electrical conduction discussed in this book. All results also apply to quantum spin systems, with obvious modifications. In order to make the results accessible to a wide audience, in particular to students in mathematics with little Physics background, basics of Quantum Mechanics are presented, keeping in mind its algebraic formulation. The C*-algebraic setting for lattice fermions, as well as the celebrated Lieb-Robinson bounds for commutators, are explained in detail, for completeness.
Book Synopsis Emergent Phenomena in Correlated Matter by : Eva Pavarini
Download or read book Emergent Phenomena in Correlated Matter written by Eva Pavarini and published by Forschungszentrum Jülich. This book was released on 2013 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Hubbard Model by : Dionys Baeriswyl
Download or read book The Hubbard Model written by Dionys Baeriswyl and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the slightly more than thirty years since its formulation, the Hubbard model has become a central component of modern many-body physics. It provides a paradigm for strongly correlated, interacting electronic systems and offers insights not only into the general underlying mathematical structure of many-body systems but also into the experimental behavior of many novel electronic materials. In condensed matter physics, the Hubbard model represents the simplest theoret ical framework for describing interacting electrons in a crystal lattice. Containing only two explicit parameters - the ratio ("Ujt") between the Coulomb repulsion and the kinetic energy of the electrons, and the filling (p) of the available electronic band - and one implicit parameter - the structure of the underlying lattice - it appears nonetheless capable of capturing behavior ranging from metallic to insulating and from magnetism to superconductivity. Introduced originally as a model of magnetism of transition met als, the Hubbard model has seen a spectacular recent renaissance in connection with possible applications to high-Tc superconductivity, for which particular emphasis has been placed on the phase diagram of the two-dimensional variant of the model. In mathematical physics, the Hubbard model has also had an essential role. The solution by Lieb and Wu of the one-dimensional Hubbard model by Bethe Ansatz provided the stimulus for a broad and continuing effort to study "solvable" many-body models. In higher dimensions, there have been important but isolated exact results (e. g. , N agoaka's Theorem).
Book Synopsis Quantum Theory of Condensed Matter by : Bertrand I. Halperin
Download or read book Quantum Theory of Condensed Matter written by Bertrand I. Halperin and published by World Scientific. This book was released on 2010 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since 1911, the Solvay Conferences have shaped modern physics. The 24th edition chaired by Bertrand Halperin did not break the tradition. Held in October 2008, it gathered in Brussels most of the leading figures working on the ?quantum theory of condensed matter?, addressing some of the most profound open problems in the field. The proceedings contain the ?rapporteur talks? giving a broad overview with unique insights by distinguished renowned scientists. These lectures cover the five sessions treating: mesoscopic and disordered systems; exotic phases and quantum phase transitions in model systems; experimentally realized correlated-electron materials; quantum Hall systems, and one-dimensional systems; systems of ultra-cold atoms, and advanced computational methods. In the Solvay tradition, the proceedings include also the prepared comments to the rapporteur talks. The discussions among the participants ? some of which are quite lively and involving dramatically divergent points of view ? have been carefully edited and reproduced in full.
Book Synopsis Coefficient Regions for Schlicht Functions by : A. C. Schaeffer
Download or read book Coefficient Regions for Schlicht Functions written by A. C. Schaeffer and published by American Mathematical Soc.. This book was released on 2016-06-09 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instead of investigating various isolated extremal problems in the theory of schlicht functions, the authors have concentrated their efforts on the investigation of the family of extremal schlicht functions in the large.
Book Synopsis Boltzmann's Legacy by : Jakob Yngvason
Download or read book Boltzmann's Legacy written by Jakob Yngvason and published by European Mathematical Society. This book was released on 2008 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ludwig Eduard Boltzmann (1844-1906) was an Austrian physicist famous for his founding contributions in the fields of statistical mechanics and statistical thermodynamics. He was one of the most important advocates for atomic theory when that scientific model was still highly controversial. To commemorate the 100th anniversary of his death in Duino, the International Symposium ``Boltzmann's Legacy'' was held at the Erwin Schrodinger International Institute for Mathematical Physics in June 2006. This text covers a broad spectrum of topics ranging from equilibrium statistical and nonequilibrium statistical physics, ergodic theory and chaos to basic questions of biology and historical accounts of Boltzmann's work. Besides the lectures presented at the symposium the volume also contains contributions specially written for this occasion. The articles give a broad overview of Boltzmann's legacy to the sciences from the standpoint of some of today's leading scholars in the field. The book addresses students and researchers in mathematics, physics, and the history of science.
Book Synopsis Number Theory and Physics by : Jean-Marc Luck
Download or read book Number Theory and Physics written by Jean-Marc Luck and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 7 Les Houches Number theory, or arithmetic, sometimes referred to as the queen of mathematics, is often considered as the purest branch of mathematics. It also has the false repu tation of being without any application to other areas of knowledge. Nevertheless, throughout their history, physical and natural sciences have experienced numerous unexpected relationships to number theory. The book entitled Number Theory in Science and Communication, by M.R. Schroeder (Springer Series in Information Sciences, Vol. 7, 1984) provides plenty of examples of cross-fertilization between number theory and a large variety of scientific topics. The most recent developments of theoretical physics have involved more and more questions related to number theory, and in an increasingly direct way. This new trend is especially visible in two broad families of physical problems. The first class, dynamical systems and quasiperiodicity, includes classical and quantum chaos, the stability of orbits in dynamical systems, K.A.M. theory, and problems with "small denominators", as well as the study of incommensurate structures, aperiodic tilings, and quasicrystals. The second class, which includes the string theory of fundamental interactions, completely integrable models, and conformally invariant two-dimensional field theories, seems to involve modular forms and p adic numbers in a remarkable way.
Book Synopsis Quantum (Un)speakables by : R.A. Bertlmann
Download or read book Quantum (Un)speakables written by R.A. Bertlmann and published by Springer Science & Business Media. This book was released on 2002-07-27 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This outstanding collection of essays in commemoration of John S. Bell is the result of the "Quantum (Un)speakables" conference organised by the University of Vienna. The title was taken from a famous note written by John Bell during the "Schrödinger Symposium" of 1987. The book leads the reader from the foundations of quantum mechanics to quantum entanglement, quantum cryptography, and quantum information, and is written for all those who need more insight into this new area of physics.
Book Synopsis Spectral Theory of Automorphic Functions by : A. B. Venkov
Download or read book Spectral Theory of Automorphic Functions written by A. B. Venkov and published by American Mathematical Soc.. This book was released on 1983 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Cambridge Handbook of Research Methods in Clinical Psychology by : Aidan G. C. Wright
Download or read book The Cambridge Handbook of Research Methods in Clinical Psychology written by Aidan G. C. Wright and published by Cambridge University Press. This book was released on 2020-03-31 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book integrates philosophy of science, data acquisition methods, and statistical modeling techniques to present readers with a forward-thinking perspective on clinical science. It reviews modern research practices in clinical psychology that support the goals of psychological science, study designs that promote good research, and quantitative methods that can test specific scientific questions. It covers new themes in research including intensive longitudinal designs, neurobiology, developmental psychopathology, and advanced computational methods such as machine learning. Core chapters examine significant statistical topics, for example missing data, causality, meta-analysis, latent variable analysis, and dyadic data analysis. A balanced overview of observational and experimental designs is also supplied, including preclinical research and intervention science. This is a foundational resource that supports the methodological training of the current and future generations of clinical psychological scientists.
Download or read book Visual Thinking written by Rudolf Arnheim and published by Univ of California Press. This book was released on 1969 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 35th anniversary of this classic of art theory.
Download or read book Diagrammatica written by Martinus Veltman and published by Cambridge University Press. This book was released on 1994-06-16 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This author provides an easily accessible introduction to quantum field theory via Feynman rules and calculations in particle physics. His aim is to make clear what the physical foundations of present-day field theory are, to clarify the physical content of Feynman rules. The book begins with a brief review of some aspects of Einstein's theory of relativity that are of particular importance for field theory, before going on to consider the relativistic quantum mechanics of free particles, interacting fields, and particles with spin. The techniques learnt in the chapters are then demonstrated in examples that might be encountered in real accelerator physics. Further chapters contain discussions of renormalization, massive and massless vector fields and unitarity. A final chapter presents concluding arguments concerning quantum electrodynamics. The book includes valuable appendices that review some essential mathematics, including complex spaces, matrices, the CBH equation, traces and dimensional regularization. An appendix containing a comprehensive summary of the rules and conventions used is followed by an appendix specifying the full Lagrangian of the Standard Model and the corresponding Feynman rules. To make the book useful for a wide audience a final appendix provides a discussion of the metric used, and an easy-to-use dictionary connecting equations written with different metrics. Written as a textbook, many diagrams, exercises and examples are included. This book will be used by beginning graduate students taking courses in particle physics or quantum field theory, as well as by researchers as a source and reference book on Feynman diagrams and rules.
Author :Paul Adrien Maurice Dirac Publisher :Cambridge University Press ISBN 13 :9780521362313 Total Pages :1374 pages Book Rating :4.3/5 (623 download)
Book Synopsis The Collected Works of P. A. M. Dirac: Volume 1 by : Paul Adrien Maurice Dirac
Download or read book The Collected Works of P. A. M. Dirac: Volume 1 written by Paul Adrien Maurice Dirac and published by Cambridge University Press. This book was released on 1995-10-26 with total page 1374 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive collection of the scientific papers of one of this century's most outstanding physicists.
