| Author | dc.contributor.author | Iftimie, Viorel | |
| Author | dc.contributor.author | Mantoiu, Marius | es_CL |
| Author | dc.contributor.author | Purice, Radu | es_CL |
| Admission date | dc.date.accessioned | 2011-04-07T11:11:59Z | |
| Available date | dc.date.available | 2011-04-07T11:11:59Z | |
| Publication date | dc.date.issued | 2008-01-02 | |
| Cita de ítem | dc.identifier.citation | arXiv:0711.1233v1 [math-ph] | en_US |
| Identifier | dc.identifier.issn | 966-02-0144-3 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/119151 | |
| Abstract | dc.description.abstract | We prove the analog of the Cwickel-Lieb-Rosenblum estimation for the
number of negative eigenvalues of a relativistic Hamiltonian with magnetic
field B 2 C1
pol(Rd) and an electric potential V 2 L1
loc(Rd), V− 2 Ld(Rd)\
Ld/2(Rd). Compared to the nonrelativistic case, this estimation involves
both norms of V− in Ld/2(Rd) and in Ld(Rd). A direct consequence is a
Lieb-Thirring inequality for the sum of powers of the absolute values of
the negative eigenvalues. | en_US |
| Patrocinador | dc.description.sponsorship | VI and RP acknowledge partial support from the Contract no. 2-CEx06-11-
18/2006. | en_US |
| Lenguage | dc.language.iso | en | en_US |
| Publisher | dc.publisher | Institute of Mathematics ``Simion Stoilow'' of the Romanian Academy | en_US |
| Keywords | dc.subject | Mathematical Physics | en_US |
| Título | dc.title | Estimating the number of negative eigenvalues of a relativistic Hamiltonian with regular magnetic field | en_US |
| Document type | dc.type | Artículo de revista | |
