Orlicz空间内的Müntz有理逼近

本文利用函数的延拓,Steklov变换,Cauchy-Schwarz不等式,Hardy-Littlewood极大函数等工具讨论Müntz有理函数在Orlicz空间内的逼近问题,给出收敛速度的估计.由于Orlicz空间比连续函数空间和Lp空间"大",它是Lp空间的实质性的扩充,其拓扑结构也比Lp空间复杂的多,因此本文中所得的结果具有一定的拓展意义.     

区域科技社会经济协调发展规划模型及战略研究

本文介绍了利用系统动力学、系统工程［１］［２］等方法建立的一区域科技社会系统模型，并利用ＤＹＮＡＭＤ语言编写程度在计算机进行了区域政策仿真试验和战略研究。     

耦合腔阵列与Λ-型三能级原子非局域耦合系统中单光子的传输特性研究

讨论了理想和非理想情况下耦合腔阵列中两个最邻近的腔与Λ-型三能级原子非局域耦合系统中单光子的传输特性.运用准玻色子方法,精确地解出了开放系统中单光子的透射率.Λ-型三能级原子与耦合腔阵列非局域耦合系统具有更多的优点,如:该系统比其他系统调控光子传输特性的可调控参数更多;单光子在该系统中传输的透射谱有三个透射峰.此外,该系统还具有自身的特点,当拉比频率?取值给定之后,改变原子与其中一个腔的耦合强度时,光子的透射谱有一个透射率始终为1的定点,该点对应的光子频率为ω_c-?.在非理想情况下,系统耗散对光子的透射谱有着很大的影响.当只考虑原子耗散时,耗散使得光子透射谱的谷值增大,而峰值不变;当只考虑腔场耗散时,光子透射谱的峰值减小,而谷值不变.另外,随着腔场耗散率和腔的个数的增多,光子透射谱的峰值逐渐减小,但谷值始终不变.对比原子耗散和腔场耗散的情况可以发现,原子耗散使得光子不能被完全反射,而腔场耗散使得光子不能被完全透射.当同时考虑原子和腔场耗散时,光子透射谱谷值的大小不但会受原子耗散率大小的影响,也受腔场耗散率大小的影响,随着腔场耗散率的增大,谷值反而减小;而光子透射谱的峰值始终只受腔场耗散率大小和腔的个数的影响,与原子耗散率取值的大小无关.     

一类修正的离散指数型线性插值在Orlicz空间LM（-∞,∞）*中的逼近

利用Jensen不等式,Steklov变换,Cauchy积分主值讨论了一类离散指数型线性积分修正插值算子在Orlicz空间L_M~*(-∞,∞)中的逼近问题,给出了收敛速度的估计.     

Single photon transport properties in coupled cavity arrays nonlocally coupled to a two-level atom in the presence of dissipation

We discuss the effects of dissipation on the behavior of single photon transport in a system of coupled cavity arrays,with the two nearest cavities nonlocally coupled to a two-level atom.The single photon transmission amplitude is solved exactly by employing the quasi-boson picture.We investigate two different situations of local and nonlocal couplings,respectively.Comparing the dissipative case with the nondissipative one reveals that the dissipation of the system increases the middle dip and lowers the peak of the single photon transmission amplitudes,broadening the line width of the transport spectrum.It should be noted that the influence of the cavity dissipation to the single photon transport spectrum is asymmetric.By comparing the nonlocal coupling with the local one,one can find that the enhancement of the middle dip of single photon transmission amplitudes is mostly caused by the atom dissipation and that the reduced peak is mainly caused by the cavity dissipation,no matter whether it is a nonlocal or local coupling case.Whereas in the nonlocal coupling case,when the coupling strength gets stronger,the cavity dissipation has a greater effect on the single photon transport spectrum and the atom dissipation affection becomes weak,so it can be ignored.