Fri Mar 21 17:16:13 2014 UTClccn-n20090478270.47Flat forms, bi-Lipschitz parametrizations, and smoothability of manifolds /0.770.79The stability of matter in quantum mechanics /96715527Robert_Seiringern 20090478278190990lccn-n90635114Lieb, Elliott H.lccn-nr89005567Solovej, Jan Philiplccn-n95108631Jakob Yngvasonedtlccn-n90695145Rivasseau, Vincent1955-lccn-n87908778Giuliani, Alessandroedtlccn-no2008127248Mastropietro, Vieriedtlccn-n2009005166Spencer, Thomas1946-np-spencer, thomasSpencer, Thomaslccn-no2007044360Thomas, Lawrence E.lccn-n92086213Heinonen, JuhaSeiringer, RobertBose-Einstein condensationMany-body problemQuantum theoryMatter--PropertiesThomas-Fermi theoryStructural stabilityMathematicsStatistical physicsMathematical physicsStabilityManifolds (Mathematics)Holomorphic functionsHomology theory1976200520062009201020112012475630530.42QC175.47.B6530812ocn429816927book20090.79Lieb, Elliott HThe stability of matter in quantum mechanics"Despite the great success of quantum mechanics in explaining details of the structure of atoms, molecules (including the complicated molecules beloved of organic chemists and the pharmaceutical industry, and so essential to life) and macroscopic objects like transistors, it took 41 years before the most fundamental question of all was resolved: Why doesn't the collection of negatively charged electrons and positively charged nuclei, which are the basic constituents of the theory, implode into a minuscule mass of amorphous matter thousands of times denser than the material normally seen in our world? It is this stability question that will occupy us in this book. After four decades of development of this subject, during which most of the basic questions have gradually been answered, it seems appropriate to present a thorough review of the material at this time"--Résumé de l'éditeur+-+6366466705974ocn781681883book20120.76Centro internazionale matematico estivoQuantum many body systems Cetraro, Italy 2010The book is based on the lectures given at the CIME school "Quantum many body systems" held in the summer of 2010. It provides a tutorial introduction to recent advances in the mathematics of interacting systems, written by four leading experts in the field: V. Rivasseau illustrates the applications of constructive Quantum Field Theory to 2D interacting electrons and their relation to quantum gravity; R. Seiringer describes a proof of Bose-Einstein condensation in the Gross-Pitaevski limit and explains the effects of rotating traps and the emergence of lattices of quantized vortices; J.-P. Solovej gives an introduction to the theory of quantum Coulomb systems and to the functional analytic methods used to prove their thermodynamic stability; finally, T. Spencer explains the supersymmetric approach to Anderson localization and its relation to the theory of random matrices. All the lectures are characterized by their mathematical rigor combined with physical insights437ocn759004800file20050.76Lieb, Elliott HThe mathematics of the Bose gas and its condensationContains a survey of the mathematically rigorous results about the quantum-mechanical many-body problem, a topic which uses various techniques in mathematical analysis and has ties to experiments on ultra-cold Bose gases and Bose-Einstein condensation. This book is aimed at mathematicians and physicists active in the research on quantum mechanics+-+4188289128193ocn801438589file20120.66Rivasseau, VincentQuantum Many Body Systems Cetraro, Italy 2010, Editors: Alessandro Giuliani, Vieri Mastropietro, Jakob YngvasonThe book is based on the lectures given at the CIME school "Quantum many body systems" held in the summer of 2010. It provides a tutorial introduction to recent advances in the mathematics of interacting systems, written by four leading experts in the field: V. Rivasseau illustrates the applications of constructive Quantum Field Theory to 2D interacting electrons and their relation to quantum gravity; R. Seiringer describes a proof of Bose-Einstein condensation in the Gross-Pitaevski limit and explains the effects of rotating traps and the emergence of lattices of quantized vortices; J.-P. Solovej gives an introduction to the theory of quantum Coulomb systems and to the functional analytic methods used to prove their thermodynamic stability; finally, T. Spencer explains the supersymmetric approach to Anderson localization and its relation to the theory of random matrices. All the lectures are characterized by their mathematical rigor combined with physical insights53ocn746261213book20110.47Heinonen, JuhaFlat forms, bi-Lipschitz parametrizations, and smoothability of manifolds31ocn819629089com20090.47Stability Matter Quantum MechanicsResearch into the stability of matter has been one of the most successful chapters in mathematical physics, and is a prime example of how modern mathematics can be applied to problems in physics. A unique account of the subject, this book provides a complete, self-contained description of research on the stability of matter problem. It introduces the necessary quantum mechanics to mathematicians, and aspects of functional analysis to physicists. The topics covered include electrodynamics of classical and quantized fields, Lieb-Thirring and other inequalities in spectral theory, inequalities in electrostatics, stability of large Coulomb systems, gravitational stability of stars, basics of equilibrium statistical mechanics, and the existence of the thermodynamic limit. The book is an up-to-date account for researchers, and its pedagogical style makes it suitable for advanced undergraduate and graduate courses in mathematical physics+-+6366466705+-+6366466705Fri Mar 21 15:44:10 EDT 2014batch8186