Stability of stationary solutions of the Schrodinger-Langevin equation

Details Stability of stationary solutions of the Schrodinger-Langevin equation Stability of stationary solutions of the Schrodinger-Langevin equation

2003-04-29

arxiv.org/abs/quant-ph/0304190v3

Physics Letters A, (2004), 323/5-6, p374-381

Physics

Quantum Physics

revised, 12 pages, 7 figures

Scientific paper

10.1016/j.physleta.2004.02.035

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.

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