Absense of dissipative solutions of the Schrödinger and Klein-Gordon equations with logarithmic nonlinearity
| dc.contributor.author | Fernández-Rañada, Antonio | |
| dc.contributor.author | Cuesta, José Antonio | |
| dc.contributor.author | Brito López, Ricardo | |
| dc.date.accessioned | 2023-06-20T18:58:13Z | |
| dc.date.available | 2023-06-20T18:58:13Z | |
| dc.date.issued | 1988-04-11 | |
| dc.description | © 1988 Published by Elsevier BV. We are grateful to Professor A. Alvarez and Professor L. Vazquez for discussions. This work has been partially supported by Dirección General de Investigación Científica y Técnica, under grant PB86-0005. | |
| dc.description.abstract | It is shown that the Schrödinger equation nor the Klein-Gordon one with logarithmic nonlinearities have dissipative solutions. In the case of one-dimensional space, numerical experiments with different Cauchy data, in the nonrelativistic case, lead always to final states consisting only in oscillating gaussons. | |
| dc.description.department | Depto. de Estructura de la Materia, Física Térmica y Electrónica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Dirección General de Investigación Científica y Técnica | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/25239 | |
| dc.identifier.doi | 10.1016/0375-9601(88)90191-0 | |
| dc.identifier.issn | 0375-9601 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1016/0375-9601(88)90191-0 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/59020 | |
| dc.issue.number | 06-jul | |
| dc.journal.title | Physics Letters A | |
| dc.page.final | 366 | |
| dc.page.initial | 360 | |
| dc.publisher | Elsevier | |
| dc.relation.projectID | PB86-0005. | |
| dc.rights.accessRights | metadata only access | |
| dc.subject.cdu | 537 | |
| dc.subject.cdu | 536 | |
| dc.subject.ucm | Electricidad | |
| dc.subject.ucm | Electrónica (Física) | |
| dc.subject.ucm | Termodinámica | |
| dc.subject.unesco | 2202.03 Electricidad | |
| dc.subject.unesco | 2213 Termodinámica | |
| dc.title | Absense of dissipative solutions of the Schrödinger and Klein-Gordon equations with logarithmic nonlinearity | |
| dc.type | journal article | |
| dc.volume.number | 128 | |
| dcterms.references | [1] I. Bialynicki-Birula, I. Mycielski, Ann. Phys. (NY) 100, 1976, 65. [2] J. Oficjalski, I. Bialynicki-Birula, Acta Phys. Pol. B 9, 1978, 759. [3] A. Shimony, Phys. Rev. A 20, 1979, 394. [4] C.G. Shull, D.K. Atwood, J. Arthur, M.A. Horne, Phys. Rev. Lett. 44, 1980, 765. [5] R. Gähler, A.G. Klein, A. Zeilinger, Phys. REv. A 23, 1981, 1611. [6] E.F. Hefter, Phys. Rev. A32, 1985, 1201. [7] Th. Cazenave, A. Haraux, Ann. Fac. Sci. Univ. Toulouse 2, 1980, 21. [8] Th. Cazenave, Nonlin. Anal. Theory Methods Appl. 7, n. 10, 1983, 1127. [9] Ph. Blanchard, J. Stubbe, L. Vázquez, Ann. Inst. Henri Poincaré, to be published. [10] T.F. Morris, Phys. Lett. B 76, 1978, 337. [11] J. Werle, Phys. Lett. B 71, 1977, 367. [12] A. Goldberg, H.M. Schey, J.L. Schwartz, Am. J. Phys. 35, 1967, 177. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | b5d83e4b-6cf5-4cfc-9a1e-efbf55f71f87 | |
| relation.isAuthorOfPublication.latestForDiscovery | b5d83e4b-6cf5-4cfc-9a1e-efbf55f71f87 |