Download or read book Singularit s quations diff rentielles et aspects math matiques de la physique quantique written by and published by . This book was released on 2003 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Singularit s quations diff rentielles et aspects math matiques de la physique quantique written by and published by . This book was released on 2003 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Th orie spectrale et m canique quantique written by Mathieu Lewin and published by Springer Nature. This book was released on 2022-04-07 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce livre présente la théorie spectrale des opérateurs auto-adjoints en dimension infinie ainsi que son application à la mécanique quantique. Le concept d'auto-adjonction, découvert par John von Neumann dans les années 1930, est bien plus subtil dans ce cadre que pour les matrices hermitiennes en dimension finie. Cet ouvrage peut aussi servir d’introduction mathématique à la mécanique quantique. De multiples exemples physiques servent ainsi à illustrer et motiver les théorèmes plus abstraits. Les deux derniers chapitres présentent des résultats plus récents concernant l'équation de Schrödinger pour les atomes, les molécules et les solides. Aucune connaissance physique n'est cependant requise pour lire ces pages. Premier livre en français sur le sujet destiné aux étudiants de Master, ce livre pourra accompagner un cours à ce niveau. Il devrait aussi être utile aux lecteurs plus avancés désirant en savoir plus sur cette théorie. *** This book presents the spectral theory of self-adjoint operators on Hilbert space, with applications to quantum mechanics. The concept of self-adjointness in infinite dimension was discovered by John von Neumann in the 1930s and it is much more involved than in the case of Hermitian matrices in finite dimension. The book also provides an introduction to quantum mechanics, suitable for students with a mathematics background. The presentation provides numerous physical examples illustrating the abstract theory. The last two chapters present recent results on Schrödinger’s equation for systems of particles. No previous knowledge of physics is required for the book. Based on the author’s teaching and intended for graduate courses, this French language textbook can also serve as a useful introduction to the topic for more advanced readers.
Download or read book Singularity Theory and its Applications written by David Mond and published by Springer. This book was released on 1991-07-15 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: A workshop on Singularities, Bifurcation and Dynamics was held at Warwick in July 1989 as part of a year-long symposium on Singularity Theory and its applications. The proceedings fall into two halves: Volume I mainly on connections with algebraic geometry and volume II on connections with dynamical systems theory, bifurcation theory, and applications in the sciences. The papers are orginal research, stimulated by the symposium and workshops: All have been refereed, and none will appear elsewhere. The main topic, deformation theory, is represented by several papers on descriptions of the bases of versal deformations, and several more on descriptions of the generic fibres. Other topics include stratifications, and applications to differential geometry.
Download or read book Des quations diff rentielles aux syst mes dynamiques II written by Robert Roussarie and published by EDP Sciences. This book was released on 2023-11-23T00:00:00+01:00 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage s'adresse aux étudiants d'un master de mathématiques ou de physique théorique, mais il peut aussi être employé avec profit par toute personne cherchant des informations sur les aspects topologiques de la théorie des systèmes dynamiques. Il est une introduction à certains aspects de la théorie des systèmes dynamiques s'appuyant sur la théorie développée dans le tome I, publié dans la même collection (Théorie élémentaire des équations différentielles avec éléments de topologie différentielle). On ne propose pas un exposé systématique du sujet. Les auteurs ont voulu, au contraire, se concentrer sur quelques thèmes de nature assez topologique et les développer avec détails, comme par exemple les idées de René Thom sur généricité et transversalité, l'étude locale au voisinage des singularités hyperboliques, la stabilité structurelle... La théorie des bifurcations est largement présentée, ainsi que les résultats et méthodes de cette théorie pour les champs de vecteurs de dimension 2. Chaque chapitre est illustré par de nombreux exemples.
Download or read book Les quations diff rentielles en math matiques et en physique written by Ayse Saglam and published by . This book was released on 2004 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nées au 17ème siècle, les équations différentielles font partie des concepts qui assurent remarquablement la relation entre les mathématiques et la physique. Cette thèse tend à expliciter les caractéristiques de cette relation dans l'institution scolaire. Le questionnement initial est centré plus particulièrement sur les conditions de l'enseignement et de l'apprentissage de ce concept en première année universitaire. Nous menons tout d'abord une brève étude historique qui vise à deceler le rôle joué par les sciences physiques lors de l'émergence de ce concept et tout au long de son évolution historique. En nous plaçant dans le cadre de la théorie d'anthropologique de la didactique, nous étudions, dans un deuxième temps, le rapport institutionnel aux équations différentielles grâce à une analyse (écologique et praxéologique) des manuels scolaires de la classe de Terminale S et des polycopiés et des notes d'observation de cours de mathématiques et d'électrocinétique, en première année universitaire. Cette analyse nous a permis de décrire les caractéristiques générales de l'enseignement de ce concept dans les deux disciplines. Cette étude est complétée par une analyse des rapports personnels d'étudiants au concept d'équation différentielles en première année de l'université, via l'analyse de leurs productions à des tests que nous avons proposés en mathématiques et en sciences physiques. Les tâches proposées dans ces tests invitent les étudiants à travailler à la fois le statut "objet" et le statut "modèle" des équations différentielles respectivement en mathématiques et en sciences physiques.
Download or read book Quantum Mechanics Volume 3 written by Claude Cohen-Tannoudji and published by John Wiley & Sons. This book was released on 2019-12-16 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new, third volume of Cohen-Tannoudji's groundbreaking textbook covers advanced topics of quantum mechanics such as uncorrelated and correlated identical particles, the quantum theory of the electromagnetic field, absorption, emission and scattering of photons by atoms, and quantum entanglement. Written in a didactically unrivalled manner, the textbook explains the fundamental concepts in seven chapters which are elaborated in accompanying complements that provide more detailed discussions, examples and applications. * Completing the success story: the third and final volume of the quantum mechanics textbook written by 1997 Nobel laureate Claude Cohen-Tannoudji and his colleagues Bernard Diu and Franck Laloë * As easily comprehensible as possible: all steps of the physical background and its mathematical representation are spelled out explicitly * Comprehensive: in addition to the fundamentals themselves, the books comes with a wealth of elaborately explained examples and applications Claude Cohen-Tannoudji was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris where he also studied and received his PhD in 1962. In 1973 he became Professor of atomic and molecular physics at the Collège des France. His main research interests were optical pumping, quantum optics and atom-photon interactions. In 1997, Claude Cohen-Tannoudji, together with Steven Chu and William D. Phillips, was awarded the Nobel Prize in Physics for his research on laser cooling and trapping of neutral atoms. Bernard Diu was Professor at the Denis Diderot University (Paris VII). He was engaged in research at the Laboratory of Theoretical Physics and High Energy where his focus was on strong interactions physics and statistical mechanics. Franck Laloë was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris. His first assignment was with the University of Paris VI before he was appointed to the CNRS, the French National Research Center. His research was focused on optical pumping, statistical mechanics of quantum gases, musical acoustics and the foundations of quantum mechanics.
Download or read book Selected Papers on the Teaching of Mathematics as a Service Subject written by R. R. Clements and published by . This book was released on 1988 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometry continua and microstructure written by Gérard A. Maugin and published by Editions Hermann. This book was released on 1999 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Spectral Geometry written by Pierre H. Berard and published by Springer. This book was released on 2006-11-14 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Integrable Systems written by V. Babelon and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the International Conference on Integrable Systems in memory of J.-L. Verdier. It was held on July 1-5, 1991 at the Centre International de Recherches Mathematiques (C.I.R.M.) at Luminy, near Marseille (France). This collection of articles, covering many aspects of the theory of integrable Hamiltonian systems, both finite and infinite-dimensional, with an emphasis on the algebro-geometric meth ods, is published here as a tribute to Verdier who had planned this confer ence before his death in 1989 and whose active involvement with this topic brought integrable systems to the fore as a subject for active research in France. The death of Verdier and his wife on August 25, 1989, in a car accident near their country house, was a shock to all of us who were acquainted with them, and was very deeply felt in the mathematics community. We knew of no better way to honor Verdier's memory than to proceed with both the School on Integrable Systems at the C.I.M.P.A. (Centre International de Mathematiques Pures et Appliquees in Nice), and the Conference on the same theme that was to follow it, as he himself had planned them.
Download or read book Symmetry written by Hermann Weyl and published by Princeton University Press. This book was released on 2015-07-06 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry is a classic study of symmetry in mathematics, the sciences, nature, and art from one of the twentieth century's greatest mathematicians. Hermann Weyl explores the concept of symmetry beginning with the idea that it represents a harmony of proportions, and gradually departs to examine its more abstract varieties and manifestations—as bilateral, translatory, rotational, ornamental, and crystallographic. Weyl investigates the general abstract mathematical idea underlying all these special forms, using a wealth of illustrations as support. Symmetry is a work of seminal relevance that explores the great variety of applications and importance of symmetry.
Download or read book Functional Integration written by Cécile Dewitt-Morette and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: The program of the Institute covered several aspects of functional integration -from a robust mathematical foundation to many applications, heuristic and rigorous, in mathematics, physics, and chemistry. It included analytic and numerical computational techniques. One of the goals was to encourage cross-fertilization between these various aspects and disciplines. The first week was focused on quantum and classical systems with a finite number of degrees of freedom; the second week on field theories. During the first week the basic course, given by P. Cartier, was a presentation of a recent rigorous approach to functional integration which does not resort to discretization, nor to analytic continuation. It provides a definition of functional integrals simpler and more powerful than the original ones. Could this approach accommodate the works presented by the other lecturers? Although much remains to be done before answering "Yes," there seems to be no major obstacle along the road. The other courses taught during the first week presented: a) a solid introduction to functional numerical techniques (A. Sokal) and their applications to functional integrals encountered in chemistry (N. Makri). b) integrals based on Poisson processes and their applications to wave propagation (S. K. Foong), in particular a wave-restorer or wave-designer algorithm yielding the initial wave profile when one can only observe its distortion through a dissipative medium. c) the formulation of a quantum equivalence principle (H. Kleinert) which. given the flat space theory, yields a well-defined quantum theory in spaces with curvature and torsion.
Download or read book Physics on Manifolds written by M. Flato and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Colloquium "Analysis, Manifolds and Physics" organized in honour of Yvonne Choquet-Bruhat by her friends, collaborators and former students, on June 3, 4 and 5, 1992 in Paris. Its title accurately reflects the domains to which Yvonne Choquet-Bruhat has made essential contributions. Since the rise of General Relativity, the geometry of Manifolds has become a non-trivial part of space-time physics. At the same time, Functional Analysis has been of enormous importance in Quantum Mechanics, and Quantum Field Theory. Its role becomes decisive when one considers the global behaviour of solutions of differential systems on manifolds. In this sense, General Relativity is an exceptional theory in which the solutions of a highly non-linear system of partial differential equations define by themselves the very manifold on which they are supposed to exist. This is why a solution of Einstein's equations cannot be physically interpreted before its global behaviour is known, taking into account the entire hypothetical underlying manifold. In her youth, Yvonne Choquet-Bruhat contributed in a spectacular way to this domain stretching between physics and mathematics, when she gave the proof of the existence of solutions to Einstein's equations on differential manifolds of a quite general type. The methods she created have been worked out by the French school of mathematics, principally by Jean Leray. Her first proof of the local existence and uniqueness of solutions of Einstein's equations inspired Jean Leray's theory of general hyperbolic systems.
Download or read book Th orie des invariants et g om trie des vari t s quotients written by Gerald W. Schwartz and published by Editions Hermann. This book was released on 2000 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Computer from Pascal to von Neumann written by Herman H. Goldstine and published by Princeton University Press. This book was released on 2008-09-02 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1942, Lt. Herman H. Goldstine, a former mathematics professor, was stationed at the Moore School of Electrical Engineering at the University of Pennsylvania. It was there that he assisted in the creation of the ENIAC, the first electronic digital computer. The ENIAC was operational in 1945, but plans for a new computer were already underway. The principal source of ideas for the new computer was John von Neumann, who became Goldstine's chief collaborator. Together they developed EDVAC, successor to ENIAC. After World War II, at the Institute for Advanced Study, they built what was to become the prototype of the present-day computer. Herman Goldstine writes as both historian and scientist in this first examination of the development of computing machinery, from the seventeenth century through the early 1950s. His personal involvement lends a special authenticity to his narrative, as he sprinkles anecdotes and stories liberally through his text.
Download or read book Bankrupting Physics written by Alexander Unzicker and published by St. Martin's Press. This book was released on 2013-07-30 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: An award-winning scientist argues that theoretical physics has become too abstract and calls for science to return to the experimental method The recently celebrated discovery of the Higgs boson has captivated the public's imagination with the promise that it can explain the origins of everything in the universe. It's no wonder that the media refers to it grandly as the "God particle." Yet behind closed doors, physicists are admitting that there is much more to this story, and even years of gunning the Large Hadron Collider and herculean number crunching may still not lead to a deep understanding of the laws of nature. In this fascinating and eye-opening account, theoretical physicist Alexander Unzicker and science writer Sheilla Jones offer a polemic. They question whether the large-scale, multinational enterprises actually lead us to the promised land of understanding the universe. The two scientists take us on a tour of contemporary physics and show how a series of highly publicized theories met a dead end. Unzicker and Jones systematically unpack the recent hot theories such as "parallel universes," "string theory," and "inflationary cosmology," and provide an accessible explanation of each. The auhors argue that physics has abandoned its evidence-based roots and shifted to untestable mathematical theories, and they issue a clarion call for the science to return to its experimental foundation.
