03443nam 2200649Ia 450 991048400680332120200520144314.03-642-29511-810.1007/978-3-642-29511-9(CKB)3400000000085873(SSID)ssj0000697600(PQKBManifestationID)11482021(PQKBTitleCode)TC0000697600(PQKBWorkID)10708655(PQKB)11726011(DE-He213)978-3-642-29511-9(MiAaPQ)EBC3070467(PPN)165096047(EXLCZ)99340000000008587320120324d2012 uy 0engurnn#008mamaatxtccrQuantum many body systems Cetraro, Italy 2010 /Vincent Rivasseau ... [et al.] ; editors: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason1st ed. 2012.Berlin ;New York Springer Verlag20121 online resource (XIII, 180 p. 11 illus., 1 illus. in color.)Lecture notes in mathematics ;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.Lecture notes in mathematics (Springer-Verlag) ;2051.Many-body problemMathematicsMany-body problem.Mathematics.530.12015182B1081V7082B2882B44mscRivasseau Vincent1955-53781Seiringer Robert518175Solovej Jan Philip518176Spencer Thomas1946-1757557Giuliani Alessandro229525Mastropietro Vieri1725171Jakob Yngvason1757558C.I.M.E. Summer School(2010 :Cetraro, Italy)MiAaPQMiAaPQMiAaPQBOOK9910484006803321Quantum many body systems4195445UNINA