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Statistical Mechanics
In Statistical Physics one of the ambitious goals is to derive rigorously, from statistical mechanics, the thermodynamic properties of models with realistic forces. Elliott Lieb is a mathematical physicist who meets the challenge of statistical mechanics head on, taking nothing for granted and not being content until the purported consequences have been shown, by rigorous analysis, to follow from the premises. The present volume contains a selection of his contributions to the field, in particular papers dealing with general properties of Coulomb systems, phase transitions in systems with a continuous symmetry, lattice crystals, and entropy inequalities. It also includes work on classical thermodynamics, a discipline that, despite many claims to the contrary, is logically independent of statistical mechanics and deserves a rigorous and unambiguous foundation of its own. The articles in this volume have been carefully annotated by the editors.
Inequalities
Inequalities play a fundamental role in Functional Analysis and it is widely recognized that finding them, especially sharp estimates, is an art. E. H. Lieb has discovered a host of inequalities that are enormously useful in mathematics as well as in physics. His results are collected in this book which should become a standard source for further research. Together with the mathematical proofs the author also presents numerous applications to the calculus of variations and to many problems of quantum physics, in particular to atomic physics.
The State of Matter
This book, a collection of works by leading figures in the field, provides a view of the current research in a broad area of mathematical physics.The collection celebrates Elliot H Lieb's sixtieth birthday and his imprint on the subject. The preface by W Thirring offers a glimpse into the life and work-style of Lieb and some of his contemporaries.
The Stability of Matter in Quantum Mechanics
Description of research on the subject for researchers, and for advanced undergraduate and graduate courses in mathematical physics.
The State of Matter
This book, a collection of works by leading figures in the field, provides a view of the current research in a broad area of mathematical physics. The collection celebrates Elliot H Lieb's sixtieth birthday and his imprint on the subject. The preface by W Thirring offers a glimpse into the life and work-style of Lieb and some of his contemporaries. Contents:Reviews and Research Articles on:Low Temperature Behavior in Quantum and Classical Systems (articles by R J Baxter, I Affleck, T Kennedy, J L Lebowitz, N Macris, M Penrose, O Penrose, G Stell, G M Graf & J P Solovej)Many-Body Theory (P W Anderson, J Feldman, J Magnen, V Rivasseau & E Trubowitz)Variational Problems (E A Carlen, M Loss, M S Ashbaugh & R D Benguria)Analysis of Multifractal Functions (I Daubechies & J C Lagarias)Quantum Entropy (H Narnhofer & B Ruskai)Randomness and Localization of Eigenfunctions (M Aizenman & B Simon)Aspects of Quantum and Classical Time Evolution (M Flato, J Simon, E Taflin, G F Dell'Antonio, R Esposito, R Marra & T Yau) Readership: Physicists. keywords:
Condensed Matter Physics and Exactly Soluble Models
This is the third Selecta of publications of Elliott Lieb, the first two being Stabil ity of Matter: From Atoms to Stars, edited by Walter Thirring, and Inequalities, edited by Michael Loss and Mary Beth Ruskai. A companion fourth Selecta on Statistical Mechanics is also edited by us. Elliott Lieb has been a pioneer of the discipline of mathematical physics as it is nowadays understood and continues to lead several of its most active directions today. For the first part of this selecta we have made a selection of Lieb's works on Condensed Matter Physics. The impact of Lieb's work in mathematical con densed matter physics is unrivaled. It is fair to say that if one were to name a founding fat...
The Stability of Matter: From Atoms to Stars
Excellent current review of our knowledge of matter. In this new edition two new sections have been added: quantum electrodynamics and Boson systems.
The Stability of Matter: From Atoms to Stars
With this book, Elliott Lieb joins his peers Hermann Weyl and Chen Ning Yang. Weyl's Selecta was published in 1956, Yang's Selected Papers in 1983. Lieb's "Selecta", like its predecessors, gives us the essence of a great mathema tical physicist concentrated into one convenient volume. Weyl, Yang and Lieb have much more in common than the accident of this manner of publication. They have in common a style and a tradition. Each of them is master of a for midable mathematical technique. Each of them uses hard mathematical ana lysis to reach an understanding of physical laws. Each of them enriches both physics and mathematics by finding new mathematical depths in the description of familiar phys...
The Stability of Matter: From Atoms to Stars
The first edition of "The Stability of Matter: From Atoms to Stars" was sold out after a time unusually short for a selecta collection and we thought it ap propriate not just to make a reprinting but to include eight new contributionso They demonstrate that this field is still lively and keeps revealing unexpected featureso Of course, we restricted ourselves to developments in which Elliott Lieb participated and thus the heroic struggle in Thomas-Fermi theory where 7 3 5 3 the accuracy has been pushed from Z 1 to Z 1 is not includedo A rich landscape opened up after Jakob Yngvason's observation that atoms in magnetic fields also are described in suitable limits by a Thomas-Fermi-type theoryo...
The Stability of Matter: From Atoms to Stars
Excellent current review of our knowledge of matter. In this new edition two new sections have been added: quantum electrodynamics and Boson systems.
