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Universality in the Thomas-Fermi-von Weizsäcker model of atoms and molecules
dc.contributor.authorSolovej, Jan Philipen_US
dc.date.accessioned2006-09-11T17:49:24Z
dc.date.available2006-09-11T17:49:24Z
dc.date.issued1990-05en_US
dc.identifier.citationSolovej, Jan Philip; (1990). "Universality in the Thomas-Fermi-von Weizsäcker model of atoms and molecules." Communications in Mathematical Physics 129(3): 561-598. <http://hdl.handle.net/2027.42/46473>en_US
dc.identifier.issn1432-0916en_US
dc.identifier.issn0010-3616en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/46473
dc.description.abstractWe study the Thomas-Fermi-von Weizsäcker theory of atoms and molecules. The main result is to prove universality of the structure of very large atoms and molecules, i.e., proving that the structure converges as the nuclear charges go to infinity. Furthermore we uniquely characterize the limit density as the solution to a renormalized TFW-equation. This is achieved by characterizing the strong singularities of solutions to the non-linear TFW-system.en_US
dc.format.extent1723746 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlagen_US
dc.subject.otherRelativity and Cosmologyen_US
dc.subject.otherMathematical and Computational Physicsen_US
dc.subject.otherNonlinear Dynamics, Complex Systems, Chaos, Neural Networksen_US
dc.subject.otherPhysicsen_US
dc.subject.otherQuantum Computing, Information and Physicsen_US
dc.subject.otherStatistical Physicsen_US
dc.subject.otherQuantum Physicsen_US
dc.titleUniversality in the Thomas-Fermi-von Weizsäcker model of atoms and moleculesen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, Princeton University, 08544, Princeton, NJ, USA; Department of Mathematics, The University of Michigan, 48109-1003, Ann Arbor, Michigan, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/46473/1/220_2005_Article_BF02097106.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF02097106en_US
dc.identifier.sourceCommunications in Mathematical Physicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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