The Mathematics of the Bose Gas and its Condensation

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 addresses a topic that is not only rich mathematically, using a large variety of techniques in mathematical anal...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Lieb, Elliott H. (Autor), Seiringer, Robert (Autor), Solovej, Jan Philip (Autor), Yngvason, Jakob (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2005.
Edición:1st ed. 2005.
Colección:Oberwolfach Seminars, 34
Temas:
Condensed matter.
Mathematics.
Mathematical physics.
System theory.
Condensed Matter Physics.
Applications of Mathematics.
Mathematical Methods in Physics.
Complex Systems.
Theoretical, Mathematical and Computational Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • The Dilute Bose Gas in 3D
  • The Dilute Bose Gas in 2D
  • Generalized Poincaré Inequalities
  • Bose-Einstein Condensation and Superfluidity for Homogeneous Gases
  • Gross-Pitaevskii Equation for Trapped Bosons
  • Bose-Einstein Condensation and Superfluidity for Dilute Trapped Gases
  • One-Dimensional Behavior of Dilute Bose Gases in Traps
  • Two-Dimensional Behavior in Disc-Shaped Traps
  • The Charged Bose Gas, the One- and Two-Component Cases
  • Bose-Einstein Quantum Phase Transition in an Optical Lattice Model.

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