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Vortices in Bose-Einstein Condensates Amandine Aftalion HC

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Birkhaeuser Verlag; New York, 2006. Hardcover. A Near Fine, binding firm, interior and extremities ... Read moreabout condition
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Item specifics

Condition
Like New
A book in excellent condition. Cover is shiny and undamaged, and the dust jacket is included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear. See all condition definitionsopens in a new window or tab
Seller Notes
“Birkhaeuser Verlag; New York, 2006. Hardcover. A Near Fine, binding firm, interior and extremities ...
ISBN
9780817643928
Subject Area
Technology & Engineering, Science, Mathematics
Publication Name
Vortices in Bose-Einstein Condensates
Item Length
9.3 in
Publisher
Birkhäuser Boston
Subject
Mechanics / Fluids, Differential Equations / General, Mechanics / General, Superconductors & Superconductivity, Materials Science / Electronic Materials
Publication Year
2006
Series
Progress in Nonlinear Differential Equations and Their Applications Ser.
Type
Textbook
Format
Hardcover
Language
English
Item Height
0.3 in
Author
Amandine Aftalion
Item Width
6.1 in
Item Weight
17.2 Oz
Number of Pages
Xii, 203 Pages

About this product

Product Information

One of the key issues related to superfluidity is the existence of vortices. In very recent experiments on Bose-Einstein condensates, vortices have been observed by rotating the trap holding the atoms. In contrast to a classical fluid for which the equilibrium velocity corresponds to solid body rotation, a quantum fluid such as a Bose-Einstein condensate can rotate only through the nucleation of quantized vortices. This monograph is dedicated to the mathematical modelling of these phenomena. The mathematical tools employed are energy estimates, Gamma convergence, and homogenization techniques. The mathematical analysis is made in the framework of the Gross-Pitaevskii energy. Results are presented and open problems related to recent experiments are explained. The work can serve as a reference for mathematical researchers and theoretical physicists interested in superfluidity and quantum condensates, and can also complement a graduate seminar in elliptic PDEs or modelling of physical experiments.

Product Identifiers

Publisher
Birkhäuser Boston
ISBN-10
0817643923
ISBN-13
9780817643928
eBay Product ID (ePID)
51828732

Product Key Features

Author
Amandine Aftalion
Publication Name
Vortices in Bose-Einstein Condensates
Format
Hardcover
Language
English
Subject
Mechanics / Fluids, Differential Equations / General, Mechanics / General, Superconductors & Superconductivity, Materials Science / Electronic Materials
Publication Year
2006
Series
Progress in Nonlinear Differential Equations and Their Applications Ser.
Type
Textbook
Subject Area
Technology & Engineering, Science, Mathematics
Number of Pages
Xii, 203 Pages

Dimensions

Item Length
9.3 in
Item Height
0.3 in
Item Width
6.1 in
Item Weight
17.2 Oz

Additional Product Features

LCCN
2006-922937
Intended Audience
Scholarly & Professional
Series Volume Number
67
Number of Volumes
1 Vol.
LeafCats
2228
Lc Classification Number
Qa370-380
Reviews
The book is a compilation of several recent papers in the rigorous analysis of the Gross-Pitaevskiu\i functional in various physically relevant regimes, as well as a helpful discussion of the physical literature and numerical studies of vortices in BEC. Most of the analysis is done for the Thomas-Fermi limit in two-dimensional cases MathSciNet"This monograph by Amandine Aftalion presents rigorous mathematical models of some experiments on BECs which display vortices." Zetralblatt Math, The book is a compilation of several recent papers in the rigorous analysis of the Gross-Pitaevski\u\i functional in various physically relevant regimes, as well as a helpful discussion of the physical literature and numerical studies of vortices in BEC. Most of the analysis is done for the Thomas-Fermi limit in two-dimensional cases ? MathSciNet, The book is a compilation of several recent papers in the rigorous analysis of the Gross-Pitaevskiu\i functional in various physically relevant regimes, as well as a helpful discussion of the physical literature and numerical studies of vortices in BEC. Most of the analysis is done for the Thomas-Fermi limit in two-dimensional cases - MathSciNet "This monograph by Amandine Aftalion presents rigorous mathematical models of some experiments on BECs which display vortices." -Zetralblatt Math
Table of Content
The Physical Experiment and Their Mathematical Modeling.- The Mathematical Setting: A Survey of the Main Theorems.- Two-Dimensional Model for otating Condensate.- Other Trapping Potentials.- High-Velocity and Quantam Hall Regime.- Three-Dimensional Rotating Condensate.- Superfluid Flow Around an Obstacle.- Further Open Problems.
Copyright Date
2006
Illustrated
Yes

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