Banach空间中凸映照的增长定理

本文利用凸映照的几何特征证明了一般复Banach空间中单位球上正规化双全纯凸映照的增长定理，即||f(x)||≤||x||/(1-||x||),A↓x∈B，对复内积空间，上述估计是最佳的。     

离子交换—原子捕集—火焰原子吸收光谱法测定水中的超痕量镉

在本文提供的条件下，镉的原子捕集灵敏度较常规法高81倍，再考虑到离子交换法的浓缩倍数至少可达40倍，因此可使镉的测定灵敏度至少提高3240倍，从而成功地测定了水中ppt级的超痕量镉。     

The Effective Degree of Freedom of Low Energy QCD

The adiabatic effective baryon-baryou interactions and dibaryon candidates are studied systematically with three constituent quark models based on different effective degrees of freedom:Glozman-Riska-Brown Goldstone boson exchange model based on constituent quark and Goldstone boson coupling;Fujiwara model based on constituent quark gluon coupling and Nijmegen one-boson exchange;QDCSM based on constituent quark and gluon coupling with quark delocalization and color screening.We find that the three models predicted the similar effective baryon-baryon interactions for roughly two thirds among the 64 states consisted of octet and decuplet baryons.The differences among three models and their separate characteristics are also studied.     

Six—Parameter Exponential—Type Potential and the Identity for the Exponential—Type Potentials

We propose a six-parameter exponential-type potential (SPEP),which has been shown to be a shapeinvariant potential with a translation of parameters.For this reducible potential,the exact energy levels are obtained by using the supersymmetric shape invariance technique.Choosing appropriate parameters,four classes of exponential-type potentials and their exact energy spectra are reduced from the SPEP and a general energy level formula,respectively.Each class shows the identity except for the different definitions of parameters.     

Long—Range Effects on the Pyroelectric Coefficient of Ferroelectric Superlattice

Long-range effects on the pyroelectric coefficient of a ferroelectric superlattice consisting of two different ferroelectric materials are investigated based on the transverse Ising model.The effects of the interfacial coupling and the thickness of one period on the pyroelectric coefficient of the ferroelectric superlattics are studied by taking into account the long-range interaction.It is found that with the increase of the strength of the long-range interaction,the pyroelectric coefficient decreases when the temperature is lower than the phase transition temperature;the mumber of the pyroelectric peaks decreases gradually and the phase transition temperature increases,It is also found that with the decrease of the interfacial coupling and the thickness of one period.the phase transition temperature and the number of the pyroelectric peaks decrease.     

Transparency and Strong Gain Without Population Inversion in Photonic Bandgap Crystals

Without using the weak-field approximation,we investigate the transient properties of a Λ-type atom with one transition near resonant with a photonic bandgap edge.Whatever the initial state of the atom is,the atom can become transparent to a probe field,and strong gain without population inversion is also possible if the atom has been pre-excited.The defect mode formed by atomic doping can have a strong effect on the absorption properties of the atom.     

Spatial Interference Effect of Two—Photon in Femtosecond—Pules Pumped Spontaneous Parametric Down—Conversion

We have used the transverse correlated properties of the entangled photon pairs generated in the process of spontaneous parametric down-conversion,which is pumped by a femtosecond pulse laser,to perform Young‘s interference experiment.Unlike the case of a continuous wave laser pump,a broadband pulse laser pump can submerge an interference pattern.In order to obtain a high visibility interference pattern,we used a lens with a tunable focal length and two interference filters to eliminate the effects of the broadband pump laser.It is proven that the process of two-photon direct interference is a post-selection process.     

Nuclear Shadowing Effect on the K Factor in Au—Au Collisions

We investigate the nuclear shadowing effect on the K factor in the Drell-Yan process by introducing a Shadowing factor into the corresponding quantum chromodynamical αs order corrections.K factors for Au-Au collisions are calculated at the centre-of-mass system energies √s=60,130 and 200 GeV while the nuclear shadowing factor is taken into account.The numerical results indicate that the nuclear shadowing factor obviously raises the K value in the small x region,and for the same nucleon the K valus becomes smaller as the energy increases.The nuclear shadowing effect could be one reason for creating the non-constancy of the K factor.     

A Pseudospectral Time—Domain Algorithm for Calculating the Band Structure of a Two—Dimensional Photonic Crystal

A pseudospectral time-domain (PSTD) method is developed for calculating the band structure of a two-dimensional photonic crystal.Maxwell‘s equations are rewritten in terms of period fields by using the Bloch theorem.Instead of spatial finite differences,the fast Fourier transform is used to calculate the spatial derivatives.To reach a similar accuracy,fewer sample points are required in the present PSTD method as compared to the conventional finite-difference time-domain methods.Our numerical simulation shows that the present PSTD method is an efficient and accurate method for calculating the band structure of a photonic crystal.