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Entropy and the quantum / Robert SIMS (cop. 2010)
Titre : Entropy and the quantum : Arizona School of Analysis with Applications March 16–20, 2009 University of Arizona Type de document : texte imprimé Auteurs : Robert SIMS, Editeur scientifique ; Daniel UELTSCHI, Editeur scientifique Editeur : Providence, R. I. [Etats Unis] : American Mathematical Society Année de publication : cop. 2010 Collection : Contemporary mathematics, ISSN 0271-4132 num. 529 Importance : X-202 p. ISBN/ISSN/EAN : 978-0-8218-5247-7 Langues : Anglais Catégories : 15A90
47A63
81Q10
81Q15Mots-clés : entropie quantique Résumé : These lecture notes provide a pedagogical introduction to quantum mechanics and to some of the mathematics that has been motivated by this field. They are a product of the school “Entropy and the Quantum”, which took place in Tucson, Arizona, in 2009. They have been written primarily for young mathematicians, but they will also prove useful to more experienced analysts and mathematical physicists. In the first contribution, William Faris introduces the mathematics of quantum mechanics. Robert Seiringer and Eric Carlen review certain recent developments in stability of matter and analytic inequalities, respectively. Bruno Nachtergaele and Robert Sims review locality results for quantum systems, and Christopher King deals with additivity conjectures and quantum information theory. The final article, by Christian Hainzl, describes applications of analysis to the Shandrasekhar limit of stellar masses. Note de contenu : références Entropy and the quantum : Arizona School of Analysis with Applications March 16–20, 2009 University of Arizona [texte imprimé] / Robert SIMS, Editeur scientifique ; Daniel UELTSCHI, Editeur scientifique . - Providence, R. I. (Etats Unis) : American Mathematical Society, cop. 2010 . - X-202 p.. - (Contemporary mathematics, ISSN 0271-4132; 529) .
ISBN : 978-0-8218-5247-7
Langues : Anglais
Catégories : 15A90
47A63
81Q10
81Q15Mots-clés : entropie quantique Résumé : These lecture notes provide a pedagogical introduction to quantum mechanics and to some of the mathematics that has been motivated by this field. They are a product of the school “Entropy and the Quantum”, which took place in Tucson, Arizona, in 2009. They have been written primarily for young mathematicians, but they will also prove useful to more experienced analysts and mathematical physicists. In the first contribution, William Faris introduces the mathematics of quantum mechanics. Robert Seiringer and Eric Carlen review certain recent developments in stability of matter and analytic inequalities, respectively. Bruno Nachtergaele and Robert Sims review locality results for quantum systems, and Christopher King deals with additivity conjectures and quantum information theory. The final article, by Christian Hainzl, describes applications of analysis to the Shandrasekhar limit of stellar masses. Note de contenu : références Exemplaires
Code-barres Cote Support Localisation Section Disponibilité 21552 CON/529 Livre Recherche Salle Disponible Entropy and the quantum II / Robert SIMS (cop. 2011)
Titre : Entropy and the quantum II : Arizona School of Analysis with Applications March 15–19, 2010 University of Arizona Type de document : texte imprimé Auteurs : Robert SIMS, Editeur scientifique ; Daniel UELTSCHI, Editeur scientifique Editeur : Providence, R. I. [Etats Unis] : American Mathematical Society Année de publication : cop. 2011 Collection : Contemporary mathematics, ISSN 0271-4132 num. 552 Importance : VIII-224 p. ISBN/ISSN/EAN : 978-0-8218-6898-0 Langues : Anglais Catégories : 35Q20
60B12
60K35
81Q10
82B10Mots-clés : entropie quantique Résumé : The goal of the Entropy and the Quantum schools has been to introduce young researchers to some of the exciting current topics in mathematical physics. These topics often involve analytic techniques that can easily be understood with a dose of physical intuition. In March of 2010, four beautiful lectures were delivered on the campus of the University of Arizona. They included Isoperimetric Inequalities for Eigenvalues of the Laplacian by Rafael Benguria, Universality of Wigner Random Matrices by Laszlo Erdo?s, Kinetic Theory and the Kac Master Equation by Michael Loss, and Localization in Disordered Media by Günter Stolz. Additionally, there were talks by other senior scientists and a number of interesting presentations by junior participants. The range of the subjects and the enthusiasm of the young speakers are testimony to the great vitality of this field, and the lecture notes in this volume reflect well the diversity of this school. Note de contenu : références Entropy and the quantum II : Arizona School of Analysis with Applications March 15–19, 2010 University of Arizona [texte imprimé] / Robert SIMS, Editeur scientifique ; Daniel UELTSCHI, Editeur scientifique . - Providence, R. I. (Etats Unis) : American Mathematical Society, cop. 2011 . - VIII-224 p.. - (Contemporary mathematics, ISSN 0271-4132; 552) .
ISBN : 978-0-8218-6898-0
Langues : Anglais
Catégories : 35Q20
60B12
60K35
81Q10
82B10Mots-clés : entropie quantique Résumé : The goal of the Entropy and the Quantum schools has been to introduce young researchers to some of the exciting current topics in mathematical physics. These topics often involve analytic techniques that can easily be understood with a dose of physical intuition. In March of 2010, four beautiful lectures were delivered on the campus of the University of Arizona. They included Isoperimetric Inequalities for Eigenvalues of the Laplacian by Rafael Benguria, Universality of Wigner Random Matrices by Laszlo Erdo?s, Kinetic Theory and the Kac Master Equation by Michael Loss, and Localization in Disordered Media by Günter Stolz. Additionally, there were talks by other senior scientists and a number of interesting presentations by junior participants. The range of the subjects and the enthusiasm of the young speakers are testimony to the great vitality of this field, and the lecture notes in this volume reflect well the diversity of this school. Note de contenu : références Exemplaires
Code-barres Cote Support Localisation Section Disponibilité 18993 CON/552 Livre Recherche Salle Disponible