Ground-State Properties of Superfluid Fermi Gas in Fourier-Synthesized Optical Lattices

By employing the balance condition between the lattice potential and the interatomic interaction, we study the ground state solutions of superfluid Fermi gases in Fourier-synthesized （FS） optical lattices. The average energy of the ground state, the atoms number, and the atom density distribution of the Fermi system are analytically derived along the Bose–Einstein condensation （BEC） side to the Bardeen–Cooper–Schrieffer （BCS） side. We analyze the properties of ground state solutions at both the BEC limit and unitarity in FS optical lattices. It is found that the relative phase α between the two lattice harmonics impacts greatly on the properties of the ground state of the superfluid Fermi gas. Especially in the BCS limit, when α=π/2, the average energy presents an exponential form with the increase of the potential depth of the lattice harmonics v2. Meanwhile, there exits a minimal value. Moreover, due to the Fermi pressure, the atom density distribution at unitarity is more outstretched than that in the BEC limit. The average energy at unitarity is apparently larger than that in the BEC limit. The properties of the ground state solution exhibit very different behaviors when the system transits from the BEC side to the BCS side.     

Temperature Dependence of Emission Properties of Self-Assembled InGaN Quantum Dots

Emission properties of self-assembled green-emitting InGaN quantum dots （QDs） grown on sapphire substrates by using metal organic chemical vapor deposition are studied by temperature-dependent photoluminescence （PL） measurements. As temperature increases （15-300K）, the PL peak energy shows an anomalous V-shaped （redshift blueshift） variation instead of an S-shaped （redshift-blueshift-redshift） variation, as observed typically in green-emitting InGaN/GaN multi-quantum wells （MOWs）. The PL full width at half maximum （FWHM） also shows a V-shaped （decrease-increase） variation. The temperature dependence of the PL peak energy and FWHM of QDs are well explained by a model similar to MOWs, in which carriers transferring in localized states play an important role, while the confinement energy of localized states in the QDs is significantly larger than that in MOWs. By analyzing the integrated PL intensity, the larger confinement energy of localized states in the QDs is estimated to be 105.9meV, which is well explained by taking into account the band-gap shrinkage and carrier thermalization with temperature. It is also found that the nonradiative combination centers in QD samples are much less than those in QW samples with the same In content.     

Darboux Transformation with a Double Spectral Parameter for the Myrzakulov-I Equation

The Myrzakulov-I equation is a 2＋l-dimensional generalization of the Heisenberg ferromagnetic equa- tion and has a non-isospectral Lax pair. The ex- plicit solutions to the Myrzakulov-I equation have been discussed by many researchers. Darboux transformation is one of the useful methods to ob- tain explicit solutions to the nonlinear partial differ- ential equation. The Darboux transformation of de- gree 1 for this equation has been constructed and exact global ＇one-soliton＇ solutions are derived.     

Calculation of Higher-Order Foldy-Wouthuysen Transformation Hamiltonian

The Foldy-Wouthuysen Hamiltonian of a light atomic system that has an ma^8 contribution to energy levels is calculated. The case of a Dirac-Coulomb field is discussed. The results can be used for relativistic and radiative corrections to energy levels in the low-energy part. A divergent operator δ^2（r） emerges. This is probably due to the nature of the point-like charge source. The effective method of radiation calculation may be re-checked.     

Mechanical Properties of Sialic Foamed Ceramic and Applications in Defense Structure

Mechanical properties of a closed-cellular sialic foamed ceramic are investigated by compressive tests. The sialic foamed ceramic under uniaxial stress compression shows brittleness and the flow stress increases with the strain rate. The engineering stress-engineering strain curve under uniaxial strain compression could be divided into three stages： linear elasticity, collapsed plateau and densification. The unloading elastic modulus, Poisson ratio and energy absorption ability are discussed. Shelly cellular material made by sialic foamed ceramic is applied into the stress distribution layer in the defense structure. Field explosion experiments are performed for the sand based stress distribution layer and shelly cellular material based layer. Compared with sand, the shelly cellular material reduces the peak stress of the blast wave.     

带电体低速运动时电磁场的能量和动量

依据电磁场的相对论变换,计算了均匀带电球面、运动方向垂直于环面的通电螺绕环、运动方向平行于轴向的充电圆柱形电容器、运动方向垂直于板面的平行板电容器等4种带电体低速运动（v 虫 c）时电磁场的能量和动量。     

从能量角度分析电磁感应模型

对中学物理电磁感应问题中比较复杂的模型,其能量转化也相对复杂.如系统中有的导体在克服安培力做功,有的安培力在对导体做功,而又可能涉及其他外力的功,如牵引动力、重力、摩擦力的功等.弄清这些系统的能量转化过程才能深入认识这些模型.     

物理学咬文嚼字之六十三纷乱的交换

Commute,permute,interchange,exchange都是与交换有关的重要数学物理概念。实数的加法、乘法也强调交换律,interchanging全同粒子变量得到的能量积分成了exchangeterm,随处可见的交换作用机制,其背后皆有深意。     

微观下的热

<正>在日常生活中,热传导现象很常见。宏观上热传导被看作能量在温度梯度场下的扩散行为,而这一输运过程取决于傅里叶定律给出的材料热导率。由傅里叶定律与能量守恒定律所衍生出的热传导方程,则描绘了温度在时间与空间中的分布。但是,这个宏观热传导方程留下了很多未解之谜。例如,为什么金刚石具有极高的热导率,而和它     

食品中苯并(α)芘的微波辅助萃取方法的研究

微波具有萃取效率高、加热均匀、节省时间等特点,而恒能量同步荧光法应用于多环芳烃的检测可提高选择性,导数技术又能放大窄带灵敏度,抑制宽带,改善分辨能力。本文结合恒能量同步荧光扫描技术与导数技术,采用家用微波炉,建立了食品中苯并(α)芘(BaP)的微波辅助萃取-二阶导数恒能量同步荧光法。探讨了影响微波萃取效率的主要因素,如萃取溶剂的类型及使用量、微波萃取时间及冷却时间、微波辐射功率等,并与超声萃取做了比较。对低脂肪样品直接用混合溶剂微波萃取即可进行光谱扫描检测食品中的BaP;对高脂肪样品将皂化和微波辅助萃取这两步操作同时进行,简化操作步骤,缩短样品的前处理时间,使样品的整个分析过程可在1h内完成。该方法操作简单、快速、费用低廉,已应用于实际样检测,低脂肪样品的加标回收率为90.0%~105.0%,高脂肪样品的为83.3%~94.6%,方法重现性好,结果令人满意。