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The Resource Vortices in BoseEinstein Condensates, by Amandine Aftalion, (electronic resource)
Vortices in BoseEinstein Condensates, by Amandine Aftalion, (electronic resource)
Resource Information
The item Vortices in BoseEinstein Condensates, by Amandine Aftalion, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Vortices in BoseEinstein Condensates, by Amandine Aftalion, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 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 physics. This monograph is dedicated to the mathematical modelling 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 these experiments, the condensate is well described by a mean field theory and a macroscopic wave function solving the socalled 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 fluids, and can also complement a graduate seminar in elliptic PDEs or modelling of physical experiments
 Language

 eng
 eng
 Edition
 1st ed. 2006.
 Extent
 1 online resource (215 p.)
 Note
 Description based upon print version of record
 Contents

 The Physical Experiment and Their Mathematical Modeling
 The Mathematical Setting: A Survey of the Main Theorems
 TwoDimensional Model for otating Condensate
 Other Trapping Potentials
 HighVelocity and Quantam Hall Regime
 ThreeDimensional Rotating Condensate
 Superfluid Flow Around an Obstacle
 Further Open Problems
 Isbn
 9781281087706
 Label
 Vortices in BoseEinstein Condensates
 Title
 Vortices in BoseEinstein Condensates
 Statement of responsibility
 by Amandine Aftalion
 Language

 eng
 eng
 Summary
 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 physics. This monograph is dedicated to the mathematical modelling 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 these experiments, the condensate is well described by a mean field theory and a macroscopic wave function solving the socalled 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 fluids, and can also complement a graduate seminar in elliptic PDEs or modelling of physical experiments
 http://library.link/vocab/creatorName
 Aftalion, Amandine
 Dewey number
 530.42
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 SkeVsX30IEM
 Language note
 English
 LC call number
 QA370380
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Progress in Nonlinear Differential Equations and Their Applications,
 Series volume
 67
 http://library.link/vocab/subjectName

 Differential equations, partial
 Mathematical physics
 Mathematics
 Partial Differential Equations
 Strongly Correlated Systems, Superconductivity
 Mathematical Methods in Physics
 Condensed Matter Physics
 Classical and Continuum Physics
 Applications of Mathematics
 Label
 Vortices in BoseEinstein Condensates, by Amandine Aftalion, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. [199]203) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 The Physical Experiment and Their Mathematical Modeling  The Mathematical Setting: A Survey of the Main Theorems  TwoDimensional Model for otating Condensate  Other Trapping Potentials  HighVelocity and Quantam Hall Regime  ThreeDimensional Rotating Condensate  Superfluid Flow Around an Obstacle  Further Open Problems
 Dimensions
 unknown
 Edition
 1st ed. 2006.
 Extent
 1 online resource (215 p.)
 Form of item
 online
 Isbn
 9781281087706
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/081764492X
 Specific material designation
 remote
 System control number

 (CKB)1000000000404822
 (EBL)337341
 (OCoLC)262690925
 (SSID)ssj0000268505
 (PQKBManifestationID)11214497
 (PQKBTitleCode)TC0000268505
 (PQKBWorkID)10236635
 (PQKB)10504901
 (DEHe213)9780817644925
 (MiAaPQ)EBC337341
 (EXLCZ)991000000000404822
 Label
 Vortices in BoseEinstein Condensates, by Amandine Aftalion, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. [199]203) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 The Physical Experiment and Their Mathematical Modeling  The Mathematical Setting: A Survey of the Main Theorems  TwoDimensional Model for otating Condensate  Other Trapping Potentials  HighVelocity and Quantam Hall Regime  ThreeDimensional Rotating Condensate  Superfluid Flow Around an Obstacle  Further Open Problems
 Dimensions
 unknown
 Edition
 1st ed. 2006.
 Extent
 1 online resource (215 p.)
 Form of item
 online
 Isbn
 9781281087706
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/081764492X
 Specific material designation
 remote
 System control number

 (CKB)1000000000404822
 (EBL)337341
 (OCoLC)262690925
 (SSID)ssj0000268505
 (PQKBManifestationID)11214497
 (PQKBTitleCode)TC0000268505
 (PQKBWorkID)10236635
 (PQKB)10504901
 (DEHe213)9780817644925
 (MiAaPQ)EBC337341
 (EXLCZ)991000000000404822
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Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/VorticesinBoseEinsteinCondensatesby/v91shVIbpc/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/VorticesinBoseEinsteinCondensatesby/v91shVIbpc/">Vortices in BoseEinstein Condensates, by Amandine Aftalion, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>