形(应)变超晶格的退道效应与系统的全局分叉

把超晶格"折沟道"对粒子的作用等效为形状相似的弱周期调制.利用正弦平方势把粒子运动方程化为具有外周期弱调制的非线性微分方程,导出了退道系数与晶格畸变的关系.利用多尺度法研究了系统的主共振和子共振,并利用Melnikov方法分析了系统的全局分叉和出现Smale马蹄的临界条件. The effect of deflected channel on particle motion is equivalent to modulation with a weak potential having a periodic same as the deflected channel has. The motion equation of a particle has been reduced to the nonlinear differential equation with a weak periodic modulation by using sine squared potential. The dechanneling fraction has been derived for a strained superlattice. The main resonance and sub resonance have been inverstigated by using multi scale method, a global bifurcation and the critic...     

形(应)变超晶格的沟道效应与系统的相平面特征

利用正弦平方势,把粒子运动方程化为具有δ力矩的摆方程.分析了无扰动系统的相平面特征,计算了扰动系统的退道效应.讨论了退道系数与晶格形变之间的关系.The particle motion equation has been reduced to the pendulum equation with a δ moment by using sine squared potential. The phase planar characteristics have been analysed for a non perturbed systeam . The dechanneling effects have been calculated numerically for a perturbed system. The relationship between the dechanneling fraction and superlattice deformation in resonance has been discussed.     

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.     

Computation and analysis of the Bessel beam scattering by a submerged elastic sphere

Taking an elastic sphere for example,the acoustic scattering of a submerged object illuminated by a Bessel beam is studied.The partial wave series representation for an elastic sphere has been extended to the case of Bessel beam scattering.Referring to the scattering of a plane wave,the peak to peak intervals in backscattering form function caused by the interference of the specular wave and the Franz wave have been analyzed in geometry.The influence of the characteristic parameterβof a Bessel beam on the peak to peak intervals has been indicated,and a predictive formula of the peak to peak intervals has been established for the first time.Meanwhile the elastic scattering of each partial wave has been separated based on the Resonance Scattering Theory.The influence ofβon the pure elastic resonance has been studied further.The results show that selecting specificβcan reduce the contribution of a certain partial wave.Therefore the resonance at the corresponding frequency and the nearby region in the backscattering is remarkably suppressed.The work of this paper could be helpful to the applications of Bessel beams on the acoustic detection of submerged objects.     

超晶格量子阱的沟道辐射及其谱分布

在经典物理框架内和偶极近似下, 导出了超晶格量子阱沟道辐射频率和辐射谱分布。指出了对于自发辐射谱分布, 存在一个普适的线型因子, 而粒子的最大辐射能量与相对论因子γ 有关, 且与γ3/2成正比。以正弦平方势为例进行了具体讨论。结果表明, 由于势阱深度和噪音的影响, 谐波数l只取少数几个值。超晶格量子阱沟道辐射只存在不多的几条谱线, 为进一步应用提供了可能。最后, 还给出了一种可能的实验方案, 讨论了如何利用弯晶把超晶格量子阱的沟道辐射改造为相干辐射。 In the frame of classical physics and the dipole approximation the radiation frequency and the spectral distribution are derived for the channeling radiation of a charged particle in a superlattice quantum well. It indicated that there is a line type factor f(ξ) suited to various cases in the spontaneous radiations spectrum. Results also show that the maximum radiation energy is proportional to γ3/2 , but the relativistic effects have double effects in the spontaneous radiation of a charged particle. The case for the sine squared potential is discussed specifically. The harmonic number can be defined as a few variable values by the effects of the potential well depth and noise. In general there is a few spectral lines in the channeling radiation spectrum for the superlattice quantum well, and possibilities are provided for further application. Finally, a possible experimental scheme is proposed, and it is discussed that how to transform the channeling radiation in the quantum well into the cohenent radiation by the bent crystal.     

Continuous feedback control of KdV Burgers system

The chaos in the KdV Burgers equation describing a ferroelectric system has been successfully controlled by using a continuous feedback control. This system has two stationary points. In order to know whether the chaos is controlled or not, the instability of control equation has been analysed numerically. The numerical analysis shows that the chaos can be converted to one point by using one control signal, however, it can converted to the other point by using three control signals. The chaotic motion is converted to two desired stationary points and periodic orbits in numerical experiment separately.     

Suppressing the weakly bound states in the photoassociation dynamics by using a frequency cut-off laser pulse

The photoassociation dynamics of ultracold lithium atoms controlled by a cut-off pulse has been investigated theoretically by solving numerically the time-dependent Schro¨dinger equation using the mapped Fourier grid method. The frequency components of the laser pulse close to the atomic resonance are partly cut off. Compared with the typical Gauss-type pulses, the cut-off pulse is helpful to suppress efficiently the weakly bound states and prepare the associated molecules in the lower vibrational states. Especially, the dependence of photoassociation probability on the cut-off position of the laser pulse is explored.     

等效磁场与弯晶沟道辐射

引入场指标和等效磁场概念,把粒子在弯晶沟道中的运动行为等效为回旋加速器中的粒子运动.结果表明,描写粒子的运动方程是一个非线性薛定谔方程.在小振幅近似下找到了系统的严格解和粒子振动周期,导出了瞬时辐射强度和最大辐射频率. The sine-squared potential and the equivalent magnetic field intensity have been introduced, the motion equation of the particle in bent crystal has been derived, the motion equation and the oscillation period of the particle have been solved exactly by Jacobian elliptic fuanction and the first kind of complet elliptic integrals, the intensity and the spectral properties of channelling radiation in bent crystal discussed.     

Application of coupled equation method on resonance processes of atomic lithium

The coupled equation method (CEM) has been applied to investigating the resonance structures for the ground state ls~22s~2S of the neutral lithium from the first threshold up to 64.5 eV.Resonance structures of atomic lithium due to single excitations of the ls and 2s electrons are studied by infinite-order calculations in detail.The effect of spin-orbit splitting is also included for some of the low-lying ls2snp(↑↓) resonance, and the influence of the interference between ls2s ~3Snp↓and ls2s ~1Snp↑states on the resonance structure has been confirmed theoretically.The results show that the presented technique can give the reasonable resonance structures very well in photoionization processes.     

Identification of Vibrational States in 230T（n,f） Reaction

The excitation function for the fission of 230Th induced by neutrons has an unusual maximum for neutron energies in the vicinity of 700KeV,It has been suggested that this maximum may be associated with the vibrational-mode resonance states,The unusual peak in the excitation function is interpreted in terms of a vibrational-model resonance state in a two-humpted fission barrier.From theoretical fits to the fission cross sections and angular distributions,it is shown that the resonance has K=1/2.     

双频激励下超晶格系统的混沌行为

假设超晶格“折沟道”对粒子的作用等效为形状相似的周期调制; 引入正弦平方势, 在小振幅近似下, 把粒子运动方程化为具有双频激励的Duffing方程。 用Melnikov方法分析了系统的混沌行为。 结果表明, 当外场为双频激励时, 系统将存在不同的次谐和超次谐分叉序列。 由于系统的混沌行为与系统参数有关, 于是, 只需控制材料组分、 或掺杂浓度, 就可望达到避免或控制混沌的目的, 为半导体超晶格的制备及其光磁电效应提供了理论分析。     

应变超晶格系统的共振行为及其动力学稳定性

在经典力学框架内和Seeger方程基础上,讨论了应变超晶格界面附近的位错动力学行为,指出了系统的非线性共振将导致位错的运动与堆积,并可能造成超晶格的分层或断裂.首先,引入阻尼项,在小振幅近似下,把描述一般位错运动的Seeger方程化为了超晶格系统的广义Duffing方程.利用多尺度法分析了系统的主共振、超共振和子共振,并找到了系统出现这三类共振的临界条件.结果表明,系统的临界条件与它的物理参数有关,只需适当调节这些参数就可以原则上避免共振的出现,保证了超晶格材料的完整性和性能的稳定性. 关键词： 位错动力学 应变超晶格 共振 分岔     

Possibility of propagation of dissipative solitons in ac-driven superlattice

The renormalization equation for nonlinear electromagnetic wave propagating in ac-driven superlattice with dissipation has been derived by averaging method. The expression for dissipative soliton potential is obtained. The values of high-frequency field amplitudes allowing for two types of dissipative soliton are found. The shape and type of such solitons are shown to be regulated by changing the high-frequency field amplitude. The chaotic behavior of electrons in superlattice is investigated by the Melnikov method.     

Andreev reflection and tunneling spectrum in a superlattice of metal-superconductor junctions

The tunneling spectrum of an electron and a hole in a superlattice of NS junctions is computed using the BTK approach and the transfer matrix method. It shows sharp resonances at some energies above the superconducting gap. The sharper the resonance is the more layers the superlattice has. We find for the first time a mechanism to balance the incident and outgoing currents on the superlattice by averaging over the phase between the incident electron and the incident hole. This mechanism is more natural and physical than those in literatures.     

Notes on crystal optics of superlattices

Dielectric permeability of superlattices has been calculated with regard to effects of spatial dispersion and two-dimensional nature of excitons. Dispersion of polaritons in the region of exciton resonance is discussed. The expressions have been obtained for the dispersion of surface waves with the inclusion or retardation effects and for different orientations of the surface with respect to the superlattice axis. In the simplest case the expressions have been obtained for the nonlinear (microscopic) polarizability tensor of the superlattice and the gyrotropy constant.     

Spectra of the quardupole-dipole superlattice

The possible enhancement of quadrupole and magnetic transitions coming into resonance with dipole transitions in superlattices has been studied. The frequency dependences of the effective permittivity tensor of the superlattice are determined. The dispersion functions of hybrid dipole-quadrupole polariton branches are obtained. The effective strength of the quadrupole transition is determined as a function of the parameters of the dipole transition, which makes it possible to control the intensity and frequency of the quadrupole radiation. Polaritons can have a negative group velocity if they propagate in a direction other than the optic axis of the superlattice.     

正切平方势单量子阱的本征值和本征函数

鉴于“方形”势阱描述量子阱中的电子运动行为过于简单、过于理想,引入了正切平方势来代替,使结果得到了改善。在量子力学框架内,利用正切平方势把电子的Schrdinger方程化为超几何方程,利用系统参数和超几何函数严格地求解了电子的本征值和本征函数,并以Ga_1-xAl_xAs-GaAs-Ga_1-xAl_xAs量子阱为例计算了电子的能级和能级之间的跃迁。结果表明,电子在量子阱中的能量是量子化的,而相邻能级之间的跃迁给出与实验进一步符合的结果。