Poisson括号方法及其在准晶、液晶和一类软物质中的应用

摘要

This paper gives an introduction on the Poisson bracket method in condensed matter physics,Lie group and Lie algebra and their some applications to quasicrystals,liquid crystals and a class of soft matter.It introduces not only derivation on hydrodynamic or elasto-hydrodynamic equations of the materials,but also solutions of relevant equations,some among them explore the mistakes of well-known classic solutions,in addition,the equations and solutions on soft matter quasicrystals are observed for the first time.%对凝聚态物理学中的Poisson括号及有关Lie群和Lie代数方法做了介绍.同时介绍了在准晶、液晶和一类软物质研究中的应用.不仅介绍了推导以上物质的流体动力学方程或弹性-流体动力学方程,也讨论了某些方程的解,这种解还揭示了国外著名权威的经典解的错误.