费米气体光晶格模型的渐近轨线

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

图 1

在光晶格典型机制时费米气体的轨线曲线 $(C = 0.1)$ (实线), 0.75( $"+"$ 线), 0.5( $"\circ "$ 线), 0.25(虚线) "

图 1

图 2

在 $s(r) = +(1-\exp(-2r))^{1/2}$ 时,模型(4.1)–(4.2),在平面" o-sZ"上的轨线曲线"

图 2

图 3

在 $s(r) = -(1-\exp(-2r))^{1/2}$ 时,模型(4.1)–(4.2),在平面" o-sZ "上的轨线曲线"

图 3

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