Dirichlet and Neumann eigenvalues for half-plane magnetic Hamiltonians
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BRUNEAU, Vincent | |
| hal.structure.identifier | Facultad de Matemáticas [Santiago de Chile] | |
| dc.contributor.author | MIRANDA, Pablo | |
| hal.structure.identifier | Facultad de Matemáticas [Santiago de Chile] | |
| dc.contributor.author | RAIKOV, Georgi | |
| dc.date.accessioned | 2024-04-04T02:18:15Z | |
| dc.date.available | 2024-04-04T02:18:15Z | |
| dc.date.created | 2012 | |
| dc.date.issued | 2014 | |
| dc.identifier.issn | 0129-055X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189295 | |
| dc.description.abstractEn | Let H-0,(D) (respectively, H-0,H-N) be the Schrodinger operator in constant magnetic field on the half-plane with Dirichlet (respectively, Neumann) boundary conditions, and let H-l := H-0,H-l - V, l = D, N, where the scalar potential V is non-negative, bounded, does not vanish identically, and decays at infinity. We compare the distribution of the eigenvalues of H-D and H-N below the respective infima of the essential spectra. To this end, we construct effective Hamiltonians which govern the asymptotic behavior of the discrete spectrum of Hl near inf sigma(ess)(H-l) = inf sigma(H-0,H-l), l = D, N. Applying these Hamiltonians, we show that sigma(disc)(H-D) is infinite even if V has a compact support, while sigma(disc)(H-N) could be finite or infinite depending on the decay rate of V | |
| dc.language.iso | en | |
| dc.publisher | World Scientific Publishing | |
| dc.title.en | Dirichlet and Neumann eigenvalues for half-plane magnetic Hamiltonians | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1142/S0129055X14500032 | |
| dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
| bordeaux.journal | Reviews in Mathematical Physics | |
| bordeaux.page | 1450003 | |
| bordeaux.volume | 26 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00988988 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00988988v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Reviews%20in%20Mathematical%20Physics&rft.date=2014&rft.volume=26&rft.issue=2&rft.spage=1450003&rft.epage=1450003&rft.eissn=0129-055X&rft.issn=0129-055X&rft.au=BRUNEAU,%20Vincent&MIRANDA,%20Pablo&RAIKOV,%20Georgi&rft.genre=article |
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