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

It 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 o...

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Detalles Bibliográficos
Autores: Cuesta, José Antonio, Fernández-Rañada, Antonio, Brito López, Ricardo
Tipo de recurso: artículo
Fecha de publicación:1988
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/58708
Acceso en línea:https://hdl.handle.net/20.500.14352/58708
Access Level:acceso abierto
Palabra clave:536
Termodinámica
2213 Termodinámica
Descripción
Sumario:It 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.