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Absence of dissipative solutions of the schrodinger and klein-gordon equations with logarithmic

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dc.contributor.authorBrito, Ricardo
dc.contributor.authorCuesta, José Antonio
dc.contributor.authorFernández-Rañada, Antonio
dc.date.accessioned2023-06-20T18:49:30Z
dc.date.available2023-06-20T18:49:30Z
dc.date.issued1988-04-11
dc.description© Elsevier Science Publishers B.V. We are grateful to Professor A. Alvarez and Professor L. Vázquez for discussions. This work has been partially supported by Dirección General de Investigación Científica y Técnica, under grant PB86-0005.
dc.description.abstractIt is shown that neither 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.departmentDepto. de Estructura de la Materia, Física Térmica y Electrónica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipDirección General de Investigación Científica y Técnica
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/22655
dc.identifier.doi10.1016/0375-9601(88)90191-0
dc.identifier.issn0375-9601
dc.identifier.officialurlhttp://dx.doi.org/10.1016/0375-9601(88)90191-0
dc.identifier.relatedurlhttp://gisc.uc3m.es/~cuesta/PDFs/PLA_128_360_88.pdf
dc.identifier.urihttps://hdl.handle.net/20.500.14352/58708
dc.issue.number06-jul
dc.journal.titlePhysics Letters A
dc.language.isoeng
dc.page.final366
dc.page.initial360
dc.publisherElsevier
dc.relation.projectIDPB86-0005
dc.rights.accessRightsopen access
dc.subject.cdu536
dc.subject.ucmTermodinámica
dc.subject.unesco2213 Termodinámica
dc.titleAbsence of dissipative solutions of the schrodinger and klein-gordon equations with logarithmic
dc.typejournal article
dc.volume.number128
dcterms.references1. I. Bialynicki-Birula and I. Mycielski, Ann. Phys. (NY) 100 (1976) 65. 2. J. Oficjalski and 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 and M. A. Horne, Phys. Rev. Lett. 44 (1980) 765. 5. R. Gähler, A. G. Klein and A. Zeilinger, Phys. Rev. A 23 (1981) 1611. 6. E. F. Hefter, Phys. Rev. A 32 (1985) 1201. 7. Th. Cazenave and A. Haraux, Ann. Fac. Sci. Univ. Toulouse 2 (1980) 21. 8. Th. Cazenave, Nonlin. Anal. Theory Methods Appl. 7, No. 10 (1983) 1127. 9. Ph. Blanchard, J. Stubbe and 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 and J. L. Schwartz, Am. J. Phys. 35 (1967) 177.
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