The Mathematics of the Bose Gas and its Condensation

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The Mathematics of the Bose Gas and its Condensation

Lieb, Elliott H. - Nama Orang; Seiringer, Robert. - Nama Orang; Solovej, Jan Philip. - Nama Orang; Yngvason, Jakob. - Nama Orang;

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.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.

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9783764373375

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Judul Seri: -
No. Panggil: -
Penerbit: Basel : Birkhauser., 2005
Deskripsi Fisik: VIII, 208 p.online resource.
Bahasa: English
ISBN/ISSN: 9783764373375
Klasifikasi: 530.41
Tipe Isi: -
Tipe Media: -
Tipe Pembawa: -
Edisi: 1st ed. 2005.
Subjek: Applied mathematics.
Engineering mathematics.
Physics.
Statistical physics.
Dynamical systems.
Complex Systems.
Statistical Physics and Dynamical Systems.
Applications of Mathematics.
Condensed matter.
Condensed Matter Physics.
Mathematical Methods in Physics.
Info Detail Spesifik: -
Pernyataan Tanggungjawab: Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej, Jakob Yngvason.

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