LEADER 04313nam 22007335 450 001 996466475503316 005 20200704094155.0 010 $a3-642-29511-8 024 7 $a10.1007/978-3-642-29511-9 035 $a(CKB)3400000000085873 035 $a(SSID)ssj0000697600 035 $a(PQKBManifestationID)11482021 035 $a(PQKBTitleCode)TC0000697600 035 $a(PQKBWorkID)10708655 035 $a(PQKB)11726011 035 $a(DE-He213)978-3-642-29511-9 035 $a(MiAaPQ)EBC3070467 035 $a(PPN)165096047 035 $a(EXLCZ)993400000000085873 100 $a20120625d2012 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aQuantum Many Body Systems$b[electronic resource] $eCetraro, Italy 2010, Editors: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason /$fby Vincent Rivasseau, Robert Seiringer, Jan Philip Solovej, Thomas Spencer 205 $a1st ed. 2012. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2012. 215 $a1 online resource (XIII, 180 p. 11 illus., 1 illus. in color.) 225 1 $aC.I.M.E. Foundation Subseries ;$v2051 300 $aAdditional authors: Robert Seiringer; Jan Philip Solovej; Thomas Spencer. 311 $a3-642-29510-X 320 $aIncludes bibliographical references. 327 $a 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. 330 $aThe book is based on the lectures given at the CIME school "Quantum many body systems" held in the summer of 2010. It provides a tutorial introduction to recent advances in the mathematics of interacting systems, written by four leading experts in the field: V. Rivasseau illustrates the applications of constructive Quantum Field Theory to 2D interacting electrons and their relation to quantum gravity; R. Seiringer describes a proof of Bose-Einstein condensation in the Gross-Pitaevski limit and explains the effects of rotating traps and the emergence of lattices of quantized vortices; J.-P. Solovej gives an introduction to the theory of quantum Coulomb systems and to the functional analytic methods used to prove their thermodynamic stability; finally, T. Spencer explains the supersymmetric approach to Anderson localization and its relation to the theory of random matrices. All the lectures are characterized by their mathematical rigor combined with physical insights. 410 0$aC.I.M.E. Foundation Subseries ;$v2051 606 $aMathematical physics 606 $aPhase transformations (Statistical physics) 606 $aCondensed materials 606 $aSuperconductivity 606 $aSuperconductors 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 606 $aQuantum Gases and Condensates$3https://scigraph.springernature.com/ontologies/product-market-codes/P24033 606 $aStrongly Correlated Systems, Superconductivity$3https://scigraph.springernature.com/ontologies/product-market-codes/P25064 607 $aCetraro <2010>$2swd 615 0$aMathematical physics. 615 0$aPhase transformations (Statistical physics). 615 0$aCondensed materials. 615 0$aSuperconductivity. 615 0$aSuperconductors. 615 14$aMathematical Physics. 615 24$aQuantum Gases and Condensates. 615 24$aStrongly Correlated Systems, Superconductivity. 676 $a530.15 686 $a82B10$a81V70$a82B28$a82B44$2msc 700 $aRivasseau$b Vincent$4aut$4http://id.loc.gov/vocabulary/relators/aut$053781 702 $aSeiringer$b Robert$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSolovej$b Jan Philip$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSpencer$b Thomas$4aut$4http://id.loc.gov/vocabulary/relators/aut 712 12$aC.I.M.E. Summer School$f(2010 :$eCetraro, Italy) 906 $aBOOK 912 $a996466475503316 996 $aQuantum many body systems$9241166 997 $aUNISA