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A simple nonlinear dissipative quantum evolution equation

1981; Institute of Physics; Volume: 14; Issue: 9 Linguagem: Inglês

10.1088/0305-4470/14/9/021

1361-6447

Nicolas Gisin,

Advanced Thermodynamics and Statistical Mechanics

The author has considered a nonlinear dissipative evolution equation that generalises the Schrodinger equation. In the corresponding evolution all the stationary states of the usual Schrodinger equation have a behaviour of semistable limit cycles, except the ground state which is stable. The model is applied to the spin-1/2 and to the damped harmonic oscillator. For the latter it is shown that the coherent states remain coherent and evolve as in the corresponding classical problem.