费米气体光晶格模型的渐近轨线

数学物理学报 ›› 2019, Vol. 39 ›› Issue (6): 1555-1562.

• 论文 • 上一篇

费米气体光晶格模型的渐近轨线

欧阳成^1,*(),汪维刚²,莫嘉琪³

¹ 湖州师范学院理学院浙江湖州 313000
² 合肥幼儿师范高等专科学校合肥 230011
³ 安徽师范大学数学与统计学院安徽芜湖 241003

收稿日期:2018-11-09 出版日期:2019-12-26 发布日期:2019-12-28
通讯作者: 欧阳成 E-mail:oyc@zjhu.edu.cn
基金资助:
国家自然科学基金(11771005);浙江省自然科学基金(LY13A010005);安徽省教育厅自然科学重点基金(KJ2018A0964);安徽省教育厅自然科学重点基金(KJ2019A1261)

The Asymptotic Path Curve for Fermi Gases Optical Lattices Model

Cheng Ouyang^1,*(),Weigang Wang²,Jiaqi Mo³

¹ Faculty of Science, Huzhou University, Zhejiang Huzhou 313000
² Department of Basic, Hefei Preschool Education College, Hefei 230011
³ School of Mathematics & Statistics, Anhui Normal University, Anhui Wuhu 241003

Received:2018-11-09 Online:2019-12-26 Published:2019-12-28
Contact: Cheng Ouyang E-mail:oyc@zjhu.edu.cn
Supported by:
the NSFC(11771005);the Natural Science Foundation of Zhejiang Province(LY13A010005);the Natural Science Foundation of the Education Department of Anhui Province(KJ2018A0964);the Natural Science Foundation of the Education Department of Anhui Province(KJ2019A1261)

摘要/Abstract

摘要：

研究了一类费米（Fermi）气体光晶格轨线模型.首先求得了费米气体光晶格在典型模型轨线的精确解.然后由一组广义泛函分析变分理论，构造一组迭代系统，得到了费米气体光晶格非线性扰动模型轨线的任意次渐近解.该文在方法上较方便地得到轨线的渐近表示式.所用的方法和基本理论，具有广泛的实际应用价值.

关键词: 扰动, 轨线, 渐近解

Abstract:

A class of model for the Fermi gases optical lattices is investigated. Firstly, the exact solution of the path curve to typical Fermi gases optical lattices model is constructed. Then, from the generalized functional analysis variation theory it constructed a set of iterative system. The arbitrary order asymptotic solution of nonlinear disturbed model of the path curve to Fermi gases optical lattices is obtained. In this paper, there got asymptotic repressions of the path curve expediently in the method and the proposed method and with the basic theory has wide application values.

Key words: Disturbed, Path curves, Asymptotic solution

中图分类号:

O175.14

欧阳成,汪维刚,莫嘉琪. 费米气体光晶格模型的渐近轨线[J]. 数学物理学报, 2019, 39(6): 1555-1562.

Cheng Ouyang,Weigang Wang,Jiaqi Mo. The Asymptotic Path Curve for Fermi Gases Optical Lattices Model[J]. Acta mathematica scientia,Series A, 2019, 39(6): 1555-1562.

图/表 3

参考文献 34

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费米气体光晶格模型的渐近轨线

The Asymptotic Path Curve for Fermi Gases Optical Lattices Model

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