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The Stability of Matter in Quantum Mechanics (Hardcover): Elliott H. Lieb, Robert Seiringer The Stability of Matter in Quantum Mechanics (Hardcover)
Elliott H. Lieb, Robert Seiringer
R837 Discovery Miles 8 370 Shipped within 7 - 12 working days

Research into the stability of matter has been one of the most successful chapters in mathematical physics, and is a prime example of how modern mathematics can be applied to problems in physics. A unique account of the subject, this book provides a complete, self-contained description of research on the stability of matter problem. It introduces the necessary quantum mechanics to mathematicians, and aspects of functional analysis to physicists. The topics covered include electrodynamics of classical and quantized fields, Lieb-Thirring and other inequalities in spectral theory, inequalities in electrostatics, stability of large Coulomb systems, gravitational stability of stars, basics of equilibrium statistical mechanics, and the existence of the thermodynamic limit. The book is an up-to-date account for researchers, and its pedagogical style makes it suitable for advanced undergraduate and graduate courses in mathematical physics.

The Mathematics of the Bose Gas and its Condensation (Paperback, 2005 ed.): Elliott H. Lieb, Robert Seiringer, Jan Philip... The Mathematics of the Bose Gas and its Condensation (Paperback, 2005 ed.)
Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej, Jakob Yngvason
R941 R763 Discovery Miles 7 630 Save R178 (19%) Shipped within 7 - 12 working days

This book contains a unique survey of the mathematically rigorous results about the quantum-mechanical many-body problem that have been obtained by the authors in the past seven years. It is a topic that is not only rich mathematically, using a large variety of techniques in mathematical analysis, but it is also one with strong ties to current experiments on ultra-cold Bose gases and Bose-Einstein condensation. It is an active subject of ongoing research, and this book provides a pedagogical entry into the field for graduate students and researchers. It is an outgrowth of a course given by the authors for graduate students and post-doctoral researchers at the Oberwolfach Research Institute in 2004. The book also provides a coherent summary of the field and a reference for mathematicians and physicists active in research on quantum mechanics.

Quantum Many Body Systems - Cetraro, Italy 2010, Editors:  Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason (Paperback,... Quantum Many Body Systems - Cetraro, Italy 2010, Editors: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason (Paperback, 2012 ed.)
Vincent Rivasseau, Robert Seiringer, Jan Philip Solovej, Thomas Spencer; Adapted by Alessandro Giuliani, …
R699 Discovery Miles 6 990 Out of stock

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.

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