Stability of stationary solutions of the |Schrodinger-Langevin equation

被引：14
作者：
Ván, P
Fülöp, T
机构：
[1] Univ Budapest Technol & Econ, Dept Phys Chem, H-1521 Budapest, Hungary
[2] KEK, Inst Particle & Nucl Studies, High Energy Accelerator Res Org, Tsukuba, Ibaraki 3050801, Japan
来源：
PHYSICS LETTERS A | 2004年 / 323卷 / 5-6期
基金：
匈牙利科学研究基金会;
关键词：
quantum dissipation; Madelung fluid; Schrodinger-Langevin equation; damped quantum oscillator; hydrodynamic model; asymptotic stability; Liapunov function; quantum thermodynamics;
D O I：
10.1016/j.physleta.2004.02.035
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The stability properties of a class of dissipative quantum mechanical systems are investigated. The nonlinear stability and asymptotic stability of stationary states (with zero and nonzero dissipation, respectively) is investigated by Liapunov's direct method. The results are demonstrated by numerical calculations on the example of the damped harmonic oscillator. (C) 2004 Elsevier B.V. All rights reserved.
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页码：374 / 381
页数：8
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