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001			281121
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008			150903s2006 xxu| o |||| 0|eng d
020			_a9780817644925 _99780817644925
024	7		_a10.1007/081764492-X _2doi
035			_avtls000333522
039		9	_a201509030722 _bVLOAD _c201404120639 _dVLOAD _c201404090419 _dVLOAD _y201402041113 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA370-380
100	1		_aAftalion, Amandine. _eautor _9306546
245	1	0	_aVortices in Bose—Einstein Condensates / _cby Amandine Aftalion.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2006.
300			_axii, 203 páginas 18 ilustraciones _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aProgress in Nonlinear Differential Equations and Their Applications ; _v67
500			_aSpringer eBooks
505	0		_aThe 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.
520			_aSince 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 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 fluids, and can also complement a graduate seminar in elliptic PDEs or modelling of physical experiments.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780817643928
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/0-8176-4492-X _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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