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024 7 $a10.1007/978-3-642-29511-9
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035   $a(DE-He213)978-3-642-29511-9
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100   $a20120324d2012      uy         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 00$aQuantum many body systems $eCetraro, Italy 2010 /$fVincent Rivasseau ... [et al.] ; editors: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason
205   $a1st ed. 2012.
210   $aBerlin ;$aNew York $cSpringer Verlag$d2012
215   $a1 online resource (XIII, 180 p. 11 illus., 1 illus. in color.)
225 1 $aLecture notes in mathematics ;$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   $aThe book is based on the lectures given at the CIME school "Quantum many body systems" held in the summer of 2010. It provides a tutorial introduction to recent advances in the mathematics of interacting systems, written by four leading experts in the field: V. Rivasseau illustrates the applications of constructive Quantum Field Theory to 2D interacting electrons and their relation to quantum gravity; R. Seiringer describes a proof of Bose-Einstein condensation in the Gross-Pitaevski limit and explains the effects of rotating traps and the emergence of lattices of quantized vortices; J.-P. Solovej gives an introduction to the theory of quantum Coulomb systems and to the functional analytic methods used to prove their thermodynamic stability; finally, T. Spencer explains the supersymmetric approach to Anderson localization and its relation to the theory of random matrices. All the lectures are characterized by their mathematical rigor combined with physical insights.
410  0$aLecture notes in mathematics (Springer-Verlag) ;$v2051.
606   $aMany-body problem
606   $aMathematics
615  0$aMany-body problem.
615  0$aMathematics.
676   $a530.120151
686   $a82B10$a81V70$a82B28$a82B44$2msc
701   $aRivasseau$b Vincent$f1955-$053781
701   $aSeiringer$b Robert$0518175
701   $aSolovej$b Jan Philip$0518176
701   $aSpencer$b Thomas$f1946-$01757557
701   $aGiuliani$b Alessandro$0229525
701   $aMastropietro$b Vieri$01725171
701   $aJakob Yngvason$01757558
712 12$aC.I.M.E. Summer School$f(2010 :$eCetraro, Italy)
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910484006803321
996   $aQuantum many body systems$94195445
997   $aUNINA