摘要
研究一维稳态黏性量子流体动力学等温模型,证明了当规模普朗克常数趋于零时,模型的解收敛于无量子项的黏性流体动力学模型的解.该证明需要得到关于解的平方根的一个新的估计,此估计显然在以前的文献[4-5]中没有得到,由此给出了关于量子项的一致控制,从而可使解取极限.此极限过程描述了从量子力学到经典牛顿力学的一个关系.
The isothermal,stationary,one-dimensional viscous quantum hydrodynamic model was studied.It is shown that the solution of the model converges to the one of the viscous hydrodynamic model in which the quantum term is no more present as the scaled Planck constant tends to zero.The proof requires a new estimate on the square root of the solution,apparently not available in the previous Refs..A uniform control on the quantum term which allows the solution to the limit was given.This limiting process describes the relations between quantum mechanics and classical Newtonian mechanics.
出处
《信阳师范学院学报（自然科学版）》
CAS
北大核心
2013年第1期17-19,48,共4页
Journal of Xinyang Normal University(Natural Science Edition)
基金
河南省高等学校青年骨干教师资助计划项目(2006110016)
河南省教育厅科学技术研究重点项目(12A110024)
