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Quantum Many Body Systems

Cetraro, Italy 2010, Editors: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason

Vincent Rivasseau, Robert Seiringer, Jan Philip Solovej, Thomas Spencer (Autoren)

Buch | Softcover

XIII, 180 Seiten

2012 | 2012
Springer Berlin (Verlag)
978-3-642-29510-2 (ISBN)

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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.

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.

Erscheint lt. Verlag	28.6.2012
Reihe/Serie	C.I.M.E. Foundation Subseries
Reihe/Serie	Lecture Notes in Mathematics
Mitarbeit	Anpassung von: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason
Zusatzinfo	XIII, 180 p. 11 illus., 1 illus. in color.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	302 g
Themenwelt	Mathematik / Informatik ► Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Technik ► Elektrotechnik / Energietechnik
Schlagworte	81V70 • 82B10 • 82B10; 81V70; 82B28; 82B44 • 82B28 • 82B44 • Interacting Fermi and Bose systems • Mathematical Physics • Quantum many body problem • quantum statistical mechanics
ISBN-10	3-642-29510-X / 364229510X
ISBN-13	978-3-642-29510-2 / 9783642295102
Zustand	Neuware