On the derivation and mathematical analysis of some quantum–mechanical models accounting for Fokker–Planck type dissipation: Phase space, Schrödinger and hydrodynamic descriptions
This paper is intended to provide the reader with a review of the authors’ latest results dealing with the modeling of quantum dissipation/diffusion effects at the level of Schrödinger systems, in connection with the corresponding phase space and fluid formulations of such kind of phenomena, especia...
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| Published in | Nanoscale systems mathematical modeling, theory and applications Vol. 2; pp. 49 - 80 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Versita
27.02.2013
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| Online Access | Get full text |
| ISSN | 2299-3290 2299-3290 |
| DOI | 10.2478/nsmmt-2013-0004 |
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| Abstract | This paper is intended to provide the reader with a review of
the authors’ latest results dealing with the modeling of quantum
dissipation/diffusion effects at the level of Schrödinger
systems, in connection with the corresponding phase space
and fluid formulations of such kind of phenomena, especially
in what concerns the role of the Fokker–Planck mechanism
in the description of open quantum systems and the macroscopic
dynamics associated with some viscous hydrodynamic
models of Euler and Navier–Stokes type. |
|---|---|
| AbstractList | This paper is intended to provide the reader with a review of
the authors’ latest results dealing with the modeling of quantum
dissipation/diffusion effects at the level of Schrödinger
systems, in connection with the corresponding phase space
and fluid formulations of such kind of phenomena, especially
in what concerns the role of the Fokker–Planck mechanism
in the description of open quantum systems and the macroscopic
dynamics associated with some viscous hydrodynamic
models of Euler and Navier–Stokes type. |
| Author | López, José Luis Montejo–Gámez, Jesús |
| Author_xml | – sequence: 1 givenname: José Luis surname: López fullname: López, José Luis email: jllopez@ugr.es organization: Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 8071 Granada, Spain – sequence: 2 givenname: Jesús surname: Montejo–Gámez fullname: Montejo–Gámez, Jesús email: jmontejo@ugr.es organization: Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 8071 Granada, Spain |
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| CitedBy_id | crossref_primary_10_1063_5_0176569 crossref_primary_10_3934_krm_2022007 crossref_primary_10_1515_zna_2018_0096 |
| Cites_doi | 10.1016/S0893-9659(03)90128-5 075316 10.1137/S0036139992240425 10.1023/A:1018667323830 10.1137/050644823 10.1137/090776068 10.1088/0266-5611/6/5/002 10.1142/S0217979205032097 10.1063/1.526223 10.1103/PhysRevA.16.2126 082001 10.1016/0375-9601(84)90964-2 10.1103/PhysRev.40.749 10.1007/BF01010029 10.1088/0305-4470/32/4/007 10.1088/0305-4470/27/5/036 10.1103/PhysRevB.48.7944 10.1063/1.522979 10.1002/zamm.200900297 10.4310/MAA.2002.v9.n4.a3 10.1103/PhysRevLett.84.1374 10.1007/s00332-012-9123-8 10.1063/1.530840 10.1103/PhysRevA.79.012315 10.1007/s10955-004-8823-3 195303 10.1016/0375-9601(80)90080-8 10.1007/BF01014608 10.1007/BF01608499 034206 10.1063/1.523253 10.1103/PhysRevLett.79.3101 10.1088/0305-4470/18/9/004 10.1103/PhysRevA.54.3764 10.1103/PhysRevA.58.2721 10.1016/0378-4371(78)90194-2 10.1103/RevModPhys.62.745 |
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the authors’ latest results dealing with the modeling of quantum
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| Title | On the derivation and mathematical analysis of some quantum–mechanical models accounting for Fokker–Planck type dissipation: Phase space, Schrödinger and hydrodynamic descriptions |
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