一类Fermi气体光晶格非线性机制的轨线研究  

Study on Path Curves of a Class of Fermi Gases in Optical Lattices With Nonlinear Mechanism

作　　者：史娟荣[1] 朱敏[2] 莫嘉琪[2] 

机构地区：[1]安徽机电职业技术学院,安徽芜湖241002 [2]安徽师范大学数学系,安徽芜湖241003

出　　处：《应用数学和力学》2017年第4期477-485,共9页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(41275062;11202106);安徽省高等学校省级自然科学研究项目(KJ2015A418);国家高级访问学者项目~~

摘　　要：研究了一类Fermi气体光晶格轨线的非线性扰动模型.首先求得了Fermi气体光晶格在无扰动情形下模型轨线的精确解.然后引入一组广义泛函分析同伦映射,构造一组迭代系统,得到了Fermi气体光晶格非线性扰动模型轨线的任意次渐近解.最后讨论了一个微扰系统.该文在方法上可较方便地得到轨线的渐近表示式.A nonlinear disturbed model for a class of Fermi gases in optical lattices was investigated. Firstly, in the non-disturbed case, the exact solution of the model path curves of Fermi gases in optical lattices was given. Secondly, the generalized functional analysis homotopic mapping was introduced and an iterative system was constructed, the arbitrary order asymptot- ic solution to the nonlinear disturbed model for the path curves of Fermi gases in optical lattices was obtained. Finally, a nonlinear small disturbance system was studied. With the proposed method, the asymptotic expressions of the path curves can be conveniently formulated and further extended.

关 键 词：扰动 轨线 泛函 

分 类 号：O414[理学—理论物理]