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

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Brito, Ricardo and Cuesta, José Antonio and Fernández-Rañada, Antonio (1988) Absence of dissipative solutions of the schrodinger and klein-gordon equations with logarithmic. Physics Letters A, 128 (06-jul). pp. 360-366. ISSN 0375-9601

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Official URL: http://dx.doi.org/10.1016/0375-9601(88)90191-0




Abstract

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.


Item Type:Article
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© 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.

Subjects:Sciences > Physics > Thermodynamics
ID Code:22655
Deposited On:08 Aug 2013 10:18
Last Modified:24 Jul 2018 10:52

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