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35 p, 487.6 KB Wellposedness of a nonlinear, logarithmic Schrödinger equation of Doebner-Goldin type modeling quantum dissipation / Guerrero, Pilar (Centre de Recerca Matemàtica) ; López Fernández, José Luis (Universidad de Granada. Departamento de Matemática Aplicada) ; Montejo-Gámez, Jesús (Universidad de Granada. Departamento de Matemática Aplicada) ; Nieto, Juanjo (Universidad de Granada. Departamento de Matemática Aplicada) ; Centre de Recerca Matemàtica
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. [...]
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1098)  

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