| 一类Fermi气体光晶格非线性机制的轨线研究 |
| |
| 引用本文： | 史娟荣,朱敏,莫嘉琪.一类Fermi气体光晶格非线性机制的轨线研究[J].应用数学和力学,2017,38(4):477-485. |
| |
| 作者姓名： | 史娟荣 朱敏 莫嘉琪 |
| |
| 作者单位： | 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 |
| |
| 基金项目： | 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 The National Natural Science Foundation of China(41275062 |
| |
| 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.
|
| 关 键 词： | 扰动 轨线 泛函 |
| 收稿时间： | 2016-02-13 |
Study on Path Curves of a Class of Fermi Gases in Optical Lattices With Nonlinear Mechanism |
| |
| SHI Juan-rong,ZHU Min,MO Jia-qi.Study on Path Curves of a Class of Fermi Gases in Optical Lattices With Nonlinear Mechanism[J].Applied Mathematics and Mechanics,2017,38(4):477-485. |
| |
| Authors: | SHI Juan-rong ZHU Min MO Jia-qi |
| |
| Institution: | 1Anhui Technical College of Mechanical and Electrical Engineering, Wuhu, Anhui 241002, P.R.China;2Department of Mathematics, Anhui Normal University, Wuhu, Anhui 241003, P.R.China |
| |
| Abstract: | 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 asymptotic 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. |
| |
| Keywords: | disturbed path curve functional |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学》下载免费的PDF全文 |
