一类Fermi气体光晶格非线性机制的轨线研究

史娟荣; 朱敏; 莫嘉琪

doi:10.21656/1000-0887.370046

一类Fermi气体光晶格非线性机制的轨线研究

doi: 10.21656/1000-0887.370046

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

详细信息

作者简介:
史娟荣(1981—),女，副教授,硕士（E-mail: ahjdshjr@126.com）；莫嘉琪(1937—)，男，教授(通讯作者. E-mail: mojiaqi@mail.ahnu.edu.cn).

中图分类号: O414
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- 被引次数: 0
出版历程
- 收稿日期: 2016-02-13
- 修回日期: 2016-03-13
- 刊出日期: 2017-04-15

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

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

Funds: The National Natural Science Foundation of China(41275062；11202106)

摘要

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.
- 扰动 /
- 轨线 /
- 泛函
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.
- disturbed /
- path curve /
- functional

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参考文献(36)

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一类Fermi气体光晶格非线性机制的轨线研究

doi: 10.21656/1000-0887.370046

作者简介:
史娟荣(1981—),女，副教授,硕士（E-mail: ahjdshjr@126.com）；莫嘉琪(1937—)，男，教授(通讯作者. E-mail: mojiaqi@mail.ahnu.edu.cn).

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

计量

目录

留言板

一类Fermi气体光晶格非线性机制的轨线研究

doi: 10.21656/1000-0887.370046

作者简介: 史娟荣(1981—),女，副教授,硕士（E-mail: ahjdshjr@126.com）； 莫嘉琪(1937—)，男，教授(通讯作者. E-mail: mojiaqi@mail.ahnu.edu.cn).

计量

出版历程

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

计量

出版历程

目录

作者简介:
史娟荣(1981—),女，副教授,硕士（E-mail: ahjdshjr@126.com）；莫嘉琪(1937—)，男，教授(通讯作者. E-mail: mojiaqi@mail.ahnu.edu.cn).