Vortices In Bose Einstein Condensates 0817643923 zip (0817643923)

Like Book123?! Give us +1

More

Amandine Aftalion, "Vortices in Bose-Einstein Condensates (Progress in Nonlinear Differential Equations and Their Applications)"

Since the first experimental achievement of Bose–Einstein condensates (BEC) in 1995 and the award of the Nobel Prize for Physics in 2001, the properties of these gaseous quantum fluids have been the focus of international interest in condensed matter physics. This monograph is dedicated to the mathematical modeling of some specific experiments which display vortices and to a rigorous analysis of features emerging experimentally.

In contrast to a classical fluid, a quantum fluid such as a Bose–Einstein condensate can rotate only through the nucleation of quantized vortices beyond some critical velocity. There are two interesting regimes: one close to the critical velocity, where there is only one vortex that has a very special shape; and another one at high rotation values, for which a dense lattice is observed.

One of the key features related to superfluidity is the existence of these vortices. We address this issue mathematically and derive information on their shape, number and location. In the dilute limit of the experiments, the condensate is well described by a mean field theory and a macroscopic wave function solving the so-called Gross–Pitaevskii equation. The mathematical tools employed are energy estimates, Gamma convergence, and homogenization techniques. We prove existence of solutions that have properties consistent with the experimental observations. Open problems related to recent experiments are presented.

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 modeling of physical experiments.

Buy Book at Lowest Price on Amazon

Rating:
2.5 out of 5 by Book123

Download Links
Server	Status
Direct Download Link 1	Alive
Direct Download Link 2	Alive
Download Link (Download Link 1)	Alive
Download Link (Download Link 1)	Alive
Download Link (Download Link 2)	Alive
Buy This Book at Best Price >>

Like this article?! Give us +1:

	Science/Engineering The Maximum Principle (Progress in Nonlinear Differential Equations and Their Applications) Patrizia Pucci , James Serrin, "The Maximum Principle (Progress in Nonlinear Differential Equations and Their Applications)" Birkhäuser Basel; 1 edition (October 23, 2007) \| ISBN: 3764381442 \| 234 pages \| PDF \| 1,7 Mb ...
	Science/Engineering Entire solutions of semilinear elliptic equations (Progress in Nonlinear Differential Equations and Their Applications) Entire solutions of semilinear elliptic equations (Progress in Nonlinear Differential Equations and Their Applications): Ilya A. Kuzin, Stanislav I. Pohozaev Birkhauser Basel \| ISBN: 3764353236 \| October 29, 1997 \| djvu (ocr) \| 264 pages \| ...
	Technical Phase Space Analysis of Partial Differential Equations (Progress in Nonlinear Differential Equations and Their Applications) ISBN: 081764511X Publisher: BirkhÃ¤user Boston Author: Description:This collection of original articles and surveys treats the linear and nonlinear aspects of the theory of partial differential equations. Phase space analysis methods, inc ...
	Mathematics Differential Equations, Chaos and Variational Problems (Progress in Nonlinear Differential Equations and Their Applications) (Progress in Nonlinear Differential Equations and Their Applications) Author: Publisher: Birkh?¡èuser Basel (2008)Binding: Hardcover, 435 pagespricer: $199.00ISBN-10: 3764384816editorialreviewsDifferential equations are a fast evolving branch of mathematics and one of the mathematical tools most used by sci ...
	Technical Introduction to G-Convergence (Progress in Nonlinear Differential Equations and Their Applications) Introduction to G-Convergence (Progress in Nonlinear Differential Equations and Their Applications) Publisher: Birkhäuser Boston \| ISBN: 081763679X \| edition 1993 \| DJVU \| 340 pages \| 4,4 mb This volume deals with G-convergence and homoge ...
	Technical Vortices in the Magnetic Ginzburg-Landau Model (Progress in Nonlinear Differential Equations and Their Applications) Etienne Sandier, Sylvia Serfaty «Vortices in the Magnetic Ginzburg-Landau Model (Progress in Nonlinear Differential Equations and Their Applications)»Publisher: Birkhauser Boston \| Edition: 2006 \| ISBN: 0817643168 \| PDF \| 322 pages \| 1,6 ...

Share this page with your friends now!
Text link
Forum (BBCode)
Website (HTML)

DISCLAIMER:

This site does not store Science/Engineering Vortices in Bose-Einstein Condensates (Progress in Nonlinear Differential Equations and Their Applications) on its server. We only index and link to Science/Engineering Vortices in Bose-Einstein Condensates (Progress in Nonlinear Differential Equations and Their Applications) provided by other sites. Please contact the content providers to delete Science/Engineering Vortices in Bose-Einstein Condensates (Progress in Nonlinear Differential Equations and Their Applications) if any and email us, we'll remove relevant links or contents immediately.

	Science/Engineering The Maximum Principle (Progress in Nonlinear Differential Equations and Their Applications) Patrizia Pucci , James Serrin, "The Maximum Principle (Progress in Nonlinear Differential Equations and Their Applications)" Birkhäuser Basel; 1 edition (October 23, 2007) \| ISBN: 3764381442 \| 234 pages \| PDF \| 1,7 Mb ...
	Science/Engineering Entire solutions of semilinear elliptic equations (Progress in Nonlinear Differential Equations and Their Applications) Entire solutions of semilinear elliptic equations (Progress in Nonlinear Differential Equations and Their Applications): Ilya A. Kuzin, Stanislav I. Pohozaev Birkhauser Basel \| ISBN: 3764353236 \| October 29, 1997 \| djvu (ocr) \| 264 pages \| ...
	Technical Phase Space Analysis of Partial Differential Equations (Progress in Nonlinear Differential Equations and Their Applications) ISBN: 081764511X Publisher: BirkhÃ¤user Boston Author: Description:This collection of original articles and surveys treats the linear and nonlinear aspects of the theory of partial differential equations. Phase space analysis methods, inc ...
	Mathematics Differential Equations, Chaos and Variational Problems (Progress in Nonlinear Differential Equations and Their Applications) (Progress in Nonlinear Differential Equations and Their Applications) Author: Publisher: Birkh?¡èuser Basel (2008)Binding: Hardcover, 435 pagespricer: $199.00ISBN-10: 3764384816editorialreviewsDifferential equations are a fast evolving branch of mathematics and one of the mathematical tools most used by sci ...
	Technical Introduction to G-Convergence (Progress in Nonlinear Differential Equations and Their Applications) Introduction to G-Convergence (Progress in Nonlinear Differential Equations and Their Applications) Publisher: Birkhäuser Boston \| ISBN: 081763679X \| edition 1993 \| DJVU \| 340 pages \| 4,4 mb This volume deals with G-convergence and homoge ...
	Technical Vortices in the Magnetic Ginzburg-Landau Model (Progress in Nonlinear Differential Equations and Their Applications) Etienne Sandier, Sylvia Serfaty «Vortices in the Magnetic Ginzburg-Landau Model (Progress in Nonlinear Differential Equations and Their Applications)»Publisher: Birkhauser Boston \| Edition: 2006 \| ISBN: 0817643168 \| PDF \| 322 pages \| 1,6 ...

Book123

Categories

Share With Friends

Archive by Date

Search Tag

Newest

Useful Links

Science/Engineering Vortices in Bose-Einstein Condensates (Progress in Nonlinear Differential Equations and Their Applications)

Related Articles

DISCLAIMER:

Comments (0) All