04313nam 22007335 450 99646647550331620200704094155.03-642-29511-810.1007/978-3-642-29511-9(CKB)3400000000085873(SSID)ssj0000697600(PQKBManifestationID)11482021(PQKBTitleCode)TC0000697600(PQKBWorkID)10708655(PQKB)11726011(DE-He213)978-3-642-29511-9(MiAaPQ)EBC3070467(PPN)165096047(EXLCZ)99340000000008587320120625d2012 u| 0engurnn#008mamaatxtccrQuantum Many Body Systems[electronic resource] Cetraro, Italy 2010, Editors: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason /by Vincent Rivasseau, Robert Seiringer, Jan Philip Solovej, Thomas Spencer1st ed. 2012.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2012.1 online resource (XIII, 180 p. 11 illus., 1 illus. in color.)C.I.M.E. Foundation Subseries ;2051Additional authors: Robert Seiringer; Jan Philip Solovej; Thomas Spencer.3-642-29510-X Includes bibliographical references. 1.Introduction to the Renormalization Group with Applications to Non-Relativistic Quantum Electron Gases. Vincent Rivasseau -- 2.Cold Quantum Gases and Bose-Einstein Condensation. Robert Seiringer -- 3. Quantum Coulomb gases. Jan Philip Solovey -- 4. SUSY Statistical Mechanics and Random Band Matrices. Thomas Spencer.The 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 insights.C.I.M.E. Foundation Subseries ;2051Mathematical physicsPhase transformations (Statistical physics)Condensed materialsSuperconductivitySuperconductorsMathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Quantum Gases and Condensateshttps://scigraph.springernature.com/ontologies/product-market-codes/P24033Strongly Correlated Systems, Superconductivityhttps://scigraph.springernature.com/ontologies/product-market-codes/P25064Cetraro <2010>swdMathematical physics.Phase transformations (Statistical physics).Condensed materials.Superconductivity.Superconductors.Mathematical Physics.Quantum Gases and Condensates.Strongly Correlated Systems, Superconductivity.530.1582B1081V7082B2882B44mscRivasseau Vincentauthttp://id.loc.gov/vocabulary/relators/aut53781Seiringer Robertauthttp://id.loc.gov/vocabulary/relators/autSolovej Jan Philipauthttp://id.loc.gov/vocabulary/relators/autSpencer Thomasauthttp://id.loc.gov/vocabulary/relators/autC.I.M.E. Summer School(2010 :Cetraro, Italy)BOOK996466475503316Quantum many body systems241166UNISA