DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lee, JiOon | ko |
dc.date.accessioned | 2013-08-08T05:43:03Z | - |
dc.date.available | 2013-08-08T05:43:03Z | - |
dc.date.created | 2013-03-19 | - |
dc.date.created | 2013-03-19 | - |
dc.date.issued | 2013-03 | - |
dc.identifier.citation | ANNALES HENRI POINCARE, v.14, no.2, pp.313 - 346 | - |
dc.identifier.issn | 1424-0637 | - |
dc.identifier.uri | http://hdl.handle.net/10203/174519 | - |
dc.description.abstract | We consider the semi-relativistic system of N gravitating Bosons with gravitation constant G. The time evolution of the system is described by the relativistic dispersion law, and we assume the mean-field scaling of the interaction where N -> a and G -> 0 while GN = lambda fixed. In the super-critical regime of large lambda, we introduce the regularized interaction where the cutoff vanishes as N -> a. We show that the difference between the many-body semi-relativistic Schrodinger dynamics and the corresponding semi-relativistic Hartree dynamics is at most of order N (-1) for all lambda, i.e., the result covers the sub-critical regime and the super-critical regime. The N dependence of the bound is optimal. | - |
dc.language | English | - |
dc.publisher | SPRINGER BASEL AG | - |
dc.subject | GROSS-PITAEVSKII EQUATION | - |
dc.subject | CLASSICAL FIELD LIMIT | - |
dc.subject | MANY-BOSON SYSTEMS | - |
dc.subject | QUANTUM-MECHANICS | - |
dc.subject | SCATTERING THEORY | - |
dc.subject | DERIVATION | - |
dc.subject | COLLAPSE | - |
dc.subject | STARS | - |
dc.title | Rate of Convergence Towards Semi-Relativistic Hartree Dynamics | - |
dc.type | Article | - |
dc.identifier.wosid | 000314896800003 | - |
dc.identifier.scopusid | 2-s2.0-84874020754 | - |
dc.type.rims | ART | - |
dc.citation.volume | 14 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 313 | - |
dc.citation.endingpage | 346 | - |
dc.citation.publicationname | ANNALES HENRI POINCARE | - |
dc.identifier.doi | 10.1007/s00023-012-0188-6 | - |
dc.contributor.localauthor | Lee, JiOon | - |
dc.description.isOpenAccess | Y | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | GROSS-PITAEVSKII EQUATION | - |
dc.subject.keywordPlus | CLASSICAL FIELD LIMIT | - |
dc.subject.keywordPlus | MANY-BOSON SYSTEMS | - |
dc.subject.keywordPlus | QUANTUM-MECHANICS | - |
dc.subject.keywordPlus | SCATTERING THEORY | - |
dc.subject.keywordPlus | DERIVATION | - |
dc.subject.keywordPlus | COLLAPSE | - |
dc.subject.keywordPlus | STARS | - |
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