A Relativistic equation for a slowly varying potential
| dc.contributor.author | Roy, C.L. | |
| dc.contributor.author | Méndez Martín, María Bianchi | |
| dc.contributor.author | Domínguez-Adame Acosta, Francisco | |
| dc.date.accessioned | 2023-06-20T18:56:33Z | |
| dc.date.available | 2023-06-20T18:56:33Z | |
| dc.date.issued | 1994-05-21 | |
| dc.description | © 1994 IOP Publishing Ltd | |
| dc.description.abstract | A relativistic equation is derived for a slowly varying potential by suitably approximating the one-dimensional Dirac equation. This equation is shown to be akin to the Schrodinger equation with an effective potential and effective eigenvalues. An iterative procedure for solving this equation is indicated. As an application, the relativistic treatment of the Mathieu potential on the basis of this equation is considered and results are compared with those obtained by solving the exact one-dimensional Dirac equation. These results are likely to take adequate account of the relativistic impacts on electrons near Fermi levels in metals. | |
| dc.description.department | Depto. de Física de Materiales | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/24906 | |
| dc.identifier.doi | 10.1088/0305-4470/27/10/028 | |
| dc.identifier.issn | 0305-4470 | |
| dc.identifier.officialurl | http://iopscience.iop.org/0305-4470/27/10/028 | |
| dc.identifier.relatedurl | http://iopscience.iop.org | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/58968 | |
| dc.issue.number | 10 | |
| dc.journal.title | Journal of Physics A-Mathematical and General | |
| dc.language.iso | eng | |
| dc.page.final | 3546 | |
| dc.page.initial | 3539 | |
| dc.publisher | IOP Publishing LTD | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 358.9 | |
| dc.subject.keyword | Dimensional Band Structures | |
| dc.subject.keyword | Electronic States | |
| dc.subject.ucm | Física de materiales | |
| dc.title | A Relativistic equation for a slowly varying potential | |
| dc.type | journal article | |
| dc.volume.number | 27 | |
| dcterms.references | [1] Nikolasky K 1930 Z Phys. 62 677 [2] Sauter F 1931 2. Phys. 69 742 [3] Davison S G and Steslicka M 1969 J. Phys. C: SolidSfafe Phys. 2 1802 [4] Glasser M L and Davison S G 1970 Int. 1. Quantum Chem. 4 867 [5] Subrammian R and Bhagwat K V 1971 Phys. Sfufus Solidi b 48 399 [6] Sen Gupta N D 1974 Phys. Sfatus Solidi b 65 351 [7] Sutherland B and Mattis D C 1981 Phys. Rev. A 24 1194 [8] Roy C L 1982 Physica B 113 94 [9] Roy C L and Pandey J S 1986 Physica A 137 389 [10] Domínguez-Adame F 1989 J. Phys: Condens. Marter 1 109 [11] Domínguez-Adame F and Sánchez A 1991 Phys Lett. 159A 153 [ 12] Roy C L &d Khan Arif 1992 Indian J. Pure Appl. Phys. 30 432 [13] Roy C Land Wan Arif 1993 J. Phys.: Condens Matter at press [14] Domínguez-Adme F, Maciá. E, Arif Khan and Roy C L 1994 (Submilred for publication) [15] Davydov A S 1965 Quantum Mechnnics (Oxford Pergamon) p 22 [16] Steslicka M. Davison S G and Fai1baim.W M 1970 J. Phys. C: SoIid Srafe Phys. 3 1207 [17] Méndez B and Domínguez-Adame F 1991 J. Phys. A: Math. Gen. 24 L331 [18] Méndez B, Domínguez-Adame F and Maciá E 1993 J. Phys. A: Math. Gen 26 171 [19] Clerk G 1991 PhD Thesis University of Melboume, p 115 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 465cfd5b-6dd4-4a48-a6e3-160df06f7046 | |
| relation.isAuthorOfPublication | dbc02e39-958d-4885-acfb-131220e221ba | |
| relation.isAuthorOfPublication.latestForDiscovery | dbc02e39-958d-4885-acfb-131220e221ba |
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