Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Global solutions of the mean-field, very high temperature Caldeira-Leggett master equation

Authors: José Luis López and Juanjo Nieto
Journal: Quart. Appl. Math. 64 (2006), 189-199
MSC (2000): Primary 35Q40, 35S10, 81Q99, 81V99
DOI: https://doi.org/10.1090/S0033-569X-06-01005-3
Published electronically: January 24, 2006
MathSciNet review: 2211384
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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, global well-posedness as well as regularity of very high temperature Caldeira-Leggett models with repulsive Poisson coupling are proved by using Green function techniques and Fokker-Planck smoothing arguments along with kinetic energy and elliptic estimates.

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Additional Information

José Luis López
Affiliation: Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain
Email: jllopez@ugr.es

Juanjo Nieto
Affiliation: Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain
Email: jjmnieto@ugr.es

DOI: https://doi.org/10.1090/S0033-569X-06-01005-3
Keywords: Open quantum system, quantum dissipation, Fokker--Planck operator, Wigner equation, Caldeira--Leggett equation, Lindblad class, global solution
Received by editor(s): August 16, 2005
Published electronically: January 24, 2006
Article copyright: © Copyright 2006 Brown University

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