基于建构主义的科技与人文融合性公共课教学设计

基于建构主义理论,对高校科技与人文融合性公共课进行了教学设计.以建立科技与人文融合的概念,培养多学科交叉融合的思维为目标,从教学目标分析、学生分析、学习内容分析、情境创设、信息资源设计、自主学习设计、强化训练设计及学习评价设计等8个方面入手,对物理与文化为代表的科技与人文性公共课进行了教学设计.立足于物理与文化基础知识的理解,重点讨论二者之间的平行性及相互联系,通过多种手段创设不同思维碰撞的情境,从而使学生切实地感受跨专业学科知识领域,充分理解科技与人文的联系,建立相互融合的概念.     

Stability of Bright Solitons in Bose-Einstein Condensates

We investigate the stability of bright solitons in Bose-Einstein condensates by including a feeding term and a loss one in the Oross-Pitaevskii equation. Based on the direct approach of perturbation theory for the nonlinear Schroedinger equation, we give the explicit dependence of the height and other related quantities of bright solitons on the feeding and loss term. It is found that the three-body recombination loss plays a crucial role in stabilizing bright solitons.     

Breathing Bright Solitons in a Bose—Einstein Condensate

A Bose-Einstein condensate with time varying scattering length in time-dependent harmonic trap is analytically investigated and soliton-like solutions of the Gross-Pitaeviskii equation are obtained to describe single soliton, bisoliton and N-soliton properties of the matter wave. The influences of the geometrical property and modulate frequency of trapping potential on soliton behaviour are discussed. When the trap potential has a very sinall trap aspect ratio or oscillates with a high frequency, the matter wave preserves its shape nearly like a soliton train in propagation, while the breathing behaviour, which displays the periodic collapse and revival of the matter wave, is found for a relatively large aspect ratio or slow varying potential. Meanwhile mass centre of the matter wave translates and/or oscillates for different trap aspect ratio and trap frequencies.     

Conditional stability of diatomic molecule driven by a weak laser field

Using a direct perturbation method, we investigate the stability of a diatomic molecule modelled by a weakly laser-driven Morse oscillator. It is shown that stationary state solution of the system is stable in the sense of Lyapunov and the periodical one possesses conditional stability, namely its stability depends on the initial conditions and system parameters. The corresponding sufficient and necessary conditions are established that indicate the stable states associated with some discrete energies. The results reveal how a diatomic molecule can be stabilized or dissociated with a weak laser, and demonstrate that the mathematical conditional stability works in the considered physical system.     

Nonlinear dissipative dynamics of a two-component atomic condensate coupling with a continuum

We investigate the nonlinear dissipative coherence bifurcation and population dynamics of a two-component atomic Bose-Einstein condensate coupling with a continuum. The coupling between the two-component condensates and the continuum brings effective dissipations to the two-component condensates. The steady states and the coherence bifurcation depend on both dissipation and the nonlinear interaction between condensed atoms. The coherence among condensed atoms may be even enhanced by the effective dissipations. The combination of dissipation and nonlinearity allows one to control the switching between different self-trapped states or the switching between a self-trapped state and a non-self-trapped state.