Entropy and the quantum / Robert SIMS (cop. 2010)

Public ISBD 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 81Q15 Mots-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 81Q15 Mots-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)

Public ISBD 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 82B10 Mots-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 82B10 Mots-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

Perturbation theory for the Schrödinger operator with a periodic potential / Yulia E. KARPESHINA (1997)

Public ISBD Titre : Perturbation theory for the Schrödinger operator with a periodic potential Type de document : monographie Auteurs : Yulia E. KARPESHINA, Auteur Editeur : Berlin : Springer-Verlag Année de publication : 1997 Collection : Lecture Note in Mathematics, ISSN 0075-8434 num. 1663 Importance : VII-352 p. ISBN/ISSN/EAN : 978-3-540-63136-1 Note générale : Classification Montpellier II : 35 Langues : Anglais Catégories : 35A35 35B20 35B27 35B30 35B40 35C10 35C20 35J10 35P15 35P20 81C05 81H20 81Q- 81Q10 81Q15 Mots-clés : opérateur de Schrödinger  Théorie des perturbations Note de contenu : index, références Perturbation theory for the Schrödinger operator with a periodic potential [monographie] / Yulia E. KARPESHINA, Auteur . - Berlin : Springer-Verlag, 1997 . - VII-352 p.. - (Lecture Note in Mathematics, ISSN 0075-8434; 1663) . ISBN : 978-3-540-63136-1 Classification Montpellier II : 35 Langues : Anglais Catégories : 35A35 35B20 35B27 35B30 35B40 35C10 35C20 35J10 35P15 35P20 81C05 81H20 81Q- 81Q10 81Q15 Mots-clés : opérateur de Schrödinger  Théorie des perturbations Note de contenu : index, références

Exemplaires

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13529	LN 1663	Livre	Recherche	Salle	Disponible

Spectral and scattering theory for quantum magnetic systems / Philippe BRIET (cop. 2009)

Public ISBD Titre : Spectral and scattering theory for quantum magnetic systems : July 7–11, 2008 CIRM, Luminy Marseilles, France Type de document : texte imprimé Auteurs : Philippe BRIET, Editeur scientifique ; François GERMINET, Editeur scientifique ; georgi RAIKOV, Editeur scientifique Editeur : Providence, R. I. [Etats Unis] : American Mathematical Society Année de publication : cop. 2009 Collection : Contemporary mathematics, ISSN 0271-4132 num. 500 Importance : XII-186 p. ISBN/ISSN/EAN : 978-0-8218-4744-2 Langues : Anglais Catégories : 35J10 60H25 81Q10 81V10 82B44 Mots-clés : théorie quantique  modèle mathématique  physique mathématique Résumé : This volume contains the proceedings of the conference on Spectral and Scattering Theory for Quantum Magnetic Systems, which took place at CIRM, Luminy, France, in July 2008. The main purpose of this conference was to bring together a number of specialists in the mathematical modelling of magnetic phenomena in quantum mechanics, to mark the recent progress as well as to outline the future development in this area.This volume contains original results presented by some of the invited speakers and surveys on recent advances in the mathematical theory of quantum magnetic Hamiltonians. Note de contenu : références Spectral and scattering theory for quantum magnetic systems : July 7–11, 2008 CIRM, Luminy Marseilles, France [texte imprimé] / Philippe BRIET, Editeur scientifique ; François GERMINET, Editeur scientifique ; georgi RAIKOV, Editeur scientifique . - Providence, R. I. (Etats Unis) : American Mathematical Society, cop. 2009 . - XII-186 p.. - (Contemporary mathematics, ISSN 0271-4132; 500) . ISBN : 978-0-8218-4744-2 Langues : Anglais Catégories : 35J10 60H25 81Q10 81V10 82B44 Mots-clés : théorie quantique  modèle mathématique  physique mathématique Résumé : This volume contains the proceedings of the conference on Spectral and Scattering Theory for Quantum Magnetic Systems, which took place at CIRM, Luminy, France, in July 2008. The main purpose of this conference was to bring together a number of specialists in the mathematical modelling of magnetic phenomena in quantum mechanics, to mark the recent progress as well as to outline the future development in this area.This volume contains original results presented by some of the invited speakers and surveys on recent advances in the mathematical theory of quantum magnetic Hamiltonians. Note de contenu : références

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
21491	CON/491	Livre	Recherche	Salle	Disponible

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