The Mathematics of the Bose Gas and its Condensation
Lieb, Elliott H.
The Mathematics of the Bose Gas and its Condensation [electronic resource] / by Elliott H. Lieb, Jan Philip Solovej, Robert Seiringer, Jakob Yngvason. - VIII, 208 p. online resource. - Oberwolfach Seminars ; 34 . - Oberwolfach Seminars ; 34 .
The Dilute Bose Gas in 3D -- The Dilute Bose Gas in 2D -- Generalized Poincar� 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.
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 analysis, but is also one with strong ties to current experiments on ultra-cold Bose gases and Bose-Einstein condensation. The book provides a pedagogical entry into an active area of ongoing research for both graduate students and researchers. It is an outgrowth of a course given by the authors for graduate students and post-doctoral researchers at the Oberwolfach Research Institute in 2004. The book also provides a coherent summary of the field and a reference for mathematicians and physicists active in research on quantum mechanics.
9783764373375
10.1007/b137508 doi
Physics.
Applied mathematics.
Engineering mathematics.
Condensed matter.
Statistical physics.
Dynamical systems.
Physics.
Condensed Matter Physics.
Applications of Mathematics.
Mathematical Methods in Physics.
Statistical Physics, Dynamical Systems and Complexity.
QC173.45-173.458
530.41
The Mathematics of the Bose Gas and its Condensation [electronic resource] / by Elliott H. Lieb, Jan Philip Solovej, Robert Seiringer, Jakob Yngvason. - VIII, 208 p. online resource. - Oberwolfach Seminars ; 34 . - Oberwolfach Seminars ; 34 .
The Dilute Bose Gas in 3D -- The Dilute Bose Gas in 2D -- Generalized Poincar� 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.
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 analysis, but is also one with strong ties to current experiments on ultra-cold Bose gases and Bose-Einstein condensation. The book provides a pedagogical entry into an active area of ongoing research for both graduate students and researchers. It is an outgrowth of a course given by the authors for graduate students and post-doctoral researchers at the Oberwolfach Research Institute in 2004. The book also provides a coherent summary of the field and a reference for mathematicians and physicists active in research on quantum mechanics.
9783764373375
10.1007/b137508 doi
Physics.
Applied mathematics.
Engineering mathematics.
Condensed matter.
Statistical physics.
Dynamical systems.
Physics.
Condensed Matter Physics.
Applications of Mathematics.
Mathematical Methods in Physics.
Statistical Physics, Dynamical Systems and Complexity.
QC173.45-173.458
530.41