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Collection Theoretical and mathematical physics
- Editeur : london:springer
- ISSN : pas d'ISSN
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Affiner la rechercheDifferential Geometry and Mathematical Physics / Rudolph, Gerd
Titre : Differential Geometry and Mathematical Physics Titre original : Part I. Manifolds, Lie Groups and Hamiltonian Systems Type de document : texte imprimé Auteurs : Rudolph, Gerd ; Schmidt, Matthias Editeur : london:springer Année de publication : 2013 Collection : Theoretical and mathematical physics Importance : 759p Présentation : couv.ill.en coul. Format : 24 cm ISBN/ISSN/EAN : 978-94-00-75344-0 Prix : 93,55 € Langues : Anglais (eng) Mots-clés : Geometry Mathematical Physics Résumé : Starting from an undergraduate level, this book systematically develops the basics of
• Calculus on manifolds, vector bundles, vector fields and differential forms,
• Lie groups and Lie group actions,
• Linear symplectic algebra and symplectic geometry,
• Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory.
The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics.
The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact.
Note de contenu : Index Differential Geometry and Mathematical Physics = Part I. Manifolds, Lie Groups and Hamiltonian Systems [texte imprimé] / Rudolph, Gerd ; Schmidt, Matthias . - [S.l.] : london:springer, 2013 . - 759p : couv.ill.en coul. ; 24 cm. - (Theoretical and mathematical physics) .
ISBN : 978-94-00-75344-0 : 93,55 €
Langues : Anglais (eng)
Mots-clés : Geometry Mathematical Physics Résumé : Starting from an undergraduate level, this book systematically develops the basics of
• Calculus on manifolds, vector bundles, vector fields and differential forms,
• Lie groups and Lie group actions,
• Linear symplectic algebra and symplectic geometry,
• Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory.
The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics.
The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact.
Note de contenu : Index Exemplaires
Code-barres Cote Support Localisation Section Disponibilité BC2014/4155-7 516.36 RUD Ouvrage Bibliothèque de la Faculté des Sciences Exactes et Informatique Mathématique Disponible BC2014/4155-5 516.36 RUD Ouvrage Bibliothèque de la Faculté des Sciences Exactes et Informatique Mathématique Disponible BC2014/4155-6 516.36 RUD Ouvrage Bibliothèque de la Faculté des Sciences Exactes et Informatique Mathématique Disponible BC2014/4155-4 516.36 RUD Ouvrage Bibliothèque de la Faculté des Sciences Exactes et Informatique Mathématique Exclu du prêt BC2014/4155-1 BC.04-06-011 Ouvrage Bibliothèque Universitaire Centrale Mathématique Exclu du prêt BC2014/4155-2 BC.04-06-011 Ouvrage Bibliothèque Universitaire Centrale Mathématique Disponible BC2014/4155-3 BC.04-06-011 Ouvrage Bibliothèque Universitaire Centrale Mathématique Disponible
Titre : Basic concepts of string theory Type de document : texte imprimé Auteurs : Blumenhagen Ralph ; Dieter Lust ; Stefan Theisen Editeur : london:springer Année de publication : 2013 Collection : Theoretical and mathematical physics Importance : 782 p Présentation : couv. ill. Format : 16*24 cm ISBN/ISSN/EAN : 978-3-642-29496-9 Prix : 45.00 € Langues : Anglais (eng) Mots-clés : string theory Résumé : The purpose of this book is to thoroughly prepare the reader for research in string theory at an intermediate level. As such it is not a compendium of results but intended as textbook in the sense that most of the material is organized in a pedagogical and self-contained fashion.
Beyond the basics, a number of more advanced topics are introduced, such as conformal field theory, superstrings and string dualities - the text does not cover applications to black hole physics and cosmology, nor strings theory at finite temperatures.
End-of-chapter references have been added to guide the reader wishing to pursue further studies or to start research in well-defined topics covered by this book.Note de contenu : Index Basic concepts of string theory [texte imprimé] / Blumenhagen Ralph ; Dieter Lust ; Stefan Theisen . - [S.l.] : london:springer, 2013 . - 782 p : couv. ill. ; 16*24 cm. - (Theoretical and mathematical physics) .
ISBN : 978-3-642-29496-9 : 45.00 €
Langues : Anglais (eng)
Mots-clés : string theory Résumé : The purpose of this book is to thoroughly prepare the reader for research in string theory at an intermediate level. As such it is not a compendium of results but intended as textbook in the sense that most of the material is organized in a pedagogical and self-contained fashion.
Beyond the basics, a number of more advanced topics are introduced, such as conformal field theory, superstrings and string dualities - the text does not cover applications to black hole physics and cosmology, nor strings theory at finite temperatures.
End-of-chapter references have been added to guide the reader wishing to pursue further studies or to start research in well-defined topics covered by this book.Note de contenu : Index Exemplaires
Code-barres Cote Support Localisation Section Disponibilité BC2014/4124-7 530.14 BLU Ouvrage Bibliothèque de la Faculté des Sciences Exactes et Informatique Physique Disponible BC2014/4124-5 530.14 BLU Ouvrage Bibliothèque de la Faculté des Sciences Exactes et Informatique Physique Disponible BC2014/4124-6 530.14 BLU Ouvrage Bibliothèque de la Faculté des Sciences Exactes et Informatique Physique Disponible BC2014/4124-2 BC.05-08-019 Ouvrage Bibliothèque Universitaire Centrale Physique Disponible BC2014/4124-3 BC.05-08-019 Ouvrage Bibliothèque Universitaire Centrale Physique Disponible BC2014/4124-1 BC.05-08-019 Ouvrage Bibliothèque Universitaire Centrale Physique Exclu du prêt
Titre : Ultracold Quantum Fields Type de document : texte imprimé Auteurs : Stoof, Henk T.C. ; B. GUBBELS, Koos Editeur : london:springer Année de publication : 2009 Collection : Theoretical and mathematical physics Importance : 485 p Présentation : ill. Format : 16*24 cm ISBN/ISSN/EAN : 978-1-402-08762-2 Note générale : Index Langues : Anglais (eng) Mots-clés : Quantum Fields Index. décimale : 530.143 STO Résumé : Ultracold Quantum Fields provides a self-contained introduction to quantum field theory for many-particle systems, using functional methods throughout. The general focus is on the behaviour of so-called quantum fluids, i.e., quantum gases and liquids, but trapped atomic gases are always used as an example. Both equilibrium and non-equilibrium phenomena are considered. Firstly, in the equilibrium case, the appropriate Hartree-Fock theory for the properties of a quantum fluid in the normal phase is derived. The focus then turns to the properties in the superfluid phase, and the authors present a microscopic derivation of the Bogoliubov theory of Bose-Einstein condensation and the Bardeen-Cooper-Schrieffer theory of superconductivity. The former is applicable to trapped bosonic gases such as rubidium, lithium, sodium and hydrogen, and the latter in particular to the fermionic isotope of atomic lithium. In the non-equilibrium case, a few topics are discussed for which a field-theoretical approach is especially suited. Examples are the macroscopic quantum tunnelling of a Bose-Einstein condensate, the phase dynamics of bosonic and fermionic superfluids, and their collisionless collective modes. The book is based upon the notes for a lecture course in the masters programme in Theoretical Physics at Utrecht. Ultracold Quantum Fields [texte imprimé] / Stoof, Henk T.C. ; B. GUBBELS, Koos . - [S.l.] : london:springer, 2009 . - 485 p : ill. ; 16*24 cm. - (Theoretical and mathematical physics) .
ISBN : 978-1-402-08762-2
Index
Langues : Anglais (eng)
Mots-clés : Quantum Fields Index. décimale : 530.143 STO Résumé : Ultracold Quantum Fields provides a self-contained introduction to quantum field theory for many-particle systems, using functional methods throughout. The general focus is on the behaviour of so-called quantum fluids, i.e., quantum gases and liquids, but trapped atomic gases are always used as an example. Both equilibrium and non-equilibrium phenomena are considered. Firstly, in the equilibrium case, the appropriate Hartree-Fock theory for the properties of a quantum fluid in the normal phase is derived. The focus then turns to the properties in the superfluid phase, and the authors present a microscopic derivation of the Bogoliubov theory of Bose-Einstein condensation and the Bardeen-Cooper-Schrieffer theory of superconductivity. The former is applicable to trapped bosonic gases such as rubidium, lithium, sodium and hydrogen, and the latter in particular to the fermionic isotope of atomic lithium. In the non-equilibrium case, a few topics are discussed for which a field-theoretical approach is especially suited. Examples are the macroscopic quantum tunnelling of a Bose-Einstein condensate, the phase dynamics of bosonic and fermionic superfluids, and their collisionless collective modes. The book is based upon the notes for a lecture course in the masters programme in Theoretical Physics at Utrecht. Exemplaires
Code-barres Cote Support Localisation Section Disponibilité FSEI18/105-2 530.143 STO Ouvrage Bibliothèque de la Faculté des Sciences Exactes et Informatique Physique Disponible
