量子力学中的非线性摩擦
Nonlinear friction in quantum mechanics
摘要：
利用耗散马德隆流体力学研究了量子力学中非线性摩擦力的作用。导出了一个新的热量子扩散方程，并对具有立方摩擦的量子布朗运动的特殊情况进行了求解。通过引入化学反应项，将其推广到具有非线性摩擦的量子反应扩散系统。
英文摘要：
The effect of nonlinear friction forces in quantum mechanics is studied via dissipative Madelung hydrodynamics. A new thermo-quantum diffusion equation is derived, which is solved for the particular case of quantum Brownian motion with a cubic friction. It is extended also by a chemical reaction term to describe quantum reaction-diffusion systems with nonlinear friction as well.
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