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| dc.contributor.author | Guerrero, Pilar |
|---|---|
| dc.contributor.author | López, J. L. |
| dc.contributor.author | Montejo-Gámez, J. |
| dc.contributor.author | Nieto, J. |
| dc.contributor.author | Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica |
| dc.date | 2011 |
| dc.identifier | https://ddd.uab.cat/record/181520 |
| dc.identifier | urn:oai:ddd.uab.cat:181520 |
| dc.description.abstract | This paper is concerned with the modeling and analysis of quantum dissipation phenomena in the Schrödinger picture. More precisely, we do investigate in detail a dissipative, nonlinear Schrödinger equation somehow accounting for quantum Fokker-Planck effects, and how it is drastically reduced to a simpler logarithmic equation via a nonlinear gauge transformation in such a way that the physics underlying both problems keeps unaltered. From a mathematical viewpoint, this allows for a more achievable analysis regarding the local wellposedness of the initial-boundary value problem. This simplification requires the performance of the polar (modulus-argument) decomposition of the wavefunction, which is rigorously attained (for the first time to the best of our knowledge) under quite reasonable assumptions. |
| dc.format | application/pdf |
| dc.language | eng |
| dc.publisher | Centre de Recerca Matemàtica |
| dc.relation | Centre de Recerca Matemàtica. Prepublicacions ; |
| dc.rights | open access |
| dc.rights | L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: |
| dc.rights | https://creativecommons.org/licenses/by-nc-nd/3.0/ |
| dc.subject | Equacions no lineals |
| dc.subject | Quàntums, Teoria dels |
| dc.subject | Logaritmes |
| dc.title | Wellposedness of a nonlinear, logarithmic Schrödinger equation of Doebner-Goldin type modeling quantum dissipation |
| dc.type | Article |
| dc.type | Prepublicació |
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