Levinson-durbin''''s recursive solution |k_i| =1 for voice linear prediction coefficients

AsweknowLPCisoneofthemostpowerfulvoiceana1ysistechniques.Thebasicprinci-pleofLPCisthatavoicesamp1ecanbcpredictedasa1inearcombinationofthepastsamples.TheLPCsystemtransformfunctioncanbedenotedasThusthebasicquestionofLPCistodctermineasetofvoiccpredictorcoefficients{a,}.TheLpcoefficients{a,}canbedeterminedbyminimizingthesumofthesquareddifferences(overafiniteinterval)betweentherealvoicesampleandthelinearlypredictedones.ThisapproachgivesthcfollowingresultTheminimummean-squaredpredictionerrorca…     

|m| Partial wave treatment for two-dimensional Coulomb-scattering and Regge pole

1 Introduction Though one-dimensional (1D) systems may clearly exhibit many features of quan-tum mechanics, systems with many degrees of freedom provide more opportunities tostudy many other important features, e.g. the degeneracy of energy eigenstates, whichneed a complete set of commuting observables to characterize an energy eigenstate. Inparticular, two-dimensional (2D) systems with two spatial degrees of freedom may ex-hibit symmetries not present in 1D systems, e.g. the rotational symme…     

利用x|x|控制混沌系统

提出了一种新的混沌控制方法，即对混沌动力系统增加一个具有分段二次函数x|x|形式的非线性反馈控制器，利用它控制了一大类系统从混沌运动转化为各种规则的运动.该控制器是一种活动控制器，它不影响原系统的参数，其结构相当简单而且在物理、电路上都容易实现.数值仿真表明了该控制方法的有效性与可行性. 关键词： 混沌 非线性反馈控制器 分段二次函数     

Synchronization of Modified Chua‘s Circuit with x|x| Function

This paper considers the chaos synchronization of the modified Chua ‘s circuit with x|x| function. We firstly show that a couple of the modified Chua systems with different parameters and initial conditions can be synchronized using active control when the values of parameters both in drive system and response system are known aforehand.Furthermore, based on Lyapunov stability theory we propose an adaptive active control approach to make the states of two identical Chua systems with unknown constant parameters asymptotically synchronized. Moreover the designed controller is independent of those unknown parameters. Numerical simulations are given to validate the proposed synchronization approach.     

Two-Mode Wigner Operator in 〈ξ| Representation and 〈γ| Representation

We derive the two-mode Wigner operator in the 〈ξ| representation and 〈γ| representation, where |ξ〉 is common eigenvector of the mass-weighted relative coordinate and the mass-combinatorial momentum. As an application,we calculate the Wigner function of some two-mode state.     

Yb原子|m|=0,1里德伯态能级Stark结构

用两步激发和光电离方法,在0-1500V/cm电场范围内,测定了Yb原子n=17至n=20附近.m=0和|m|=1的Stark光谱.采用数值积分方法对实验研究范围内的Stark能级结构作了计算,理论与实验结果基本符合.讨论了电场中能级的抗交叉行为及其与量子亏损的关系,并对m=0和|m|=1两种Stark能级结构的特点作了比较. 关键词：     

Sr原子|M|=1电场标度能谱

通过同步改变激光扫描波长和外加电场大小,保持标度能为常量,将Sr原子从基态激发到|M|=1的激发态,得到了标度能ε=-3.00,-2.50,-1.88时的常数标度能谱.实验傅里叶变换回归谱与氢原子闭合轨道理论计算进行了比较,峰值位置符合较好,峰值强度则受Sr原子实效应影响较大.     

Sr原子|M|=1电场标度能谱

通过同步改变激光扫描波长和外加电场大小,保持标度能为常量,将Sr原子从基态激发到|M|=1的激发态,得到了标度能ε=-3.00,-2.50,-1.88时的常数标度能谱.实验傅里叶变换回归谱与氢原子闭合轨道理论计算进行了比较,峰值位置符合较好,峰值强度则受Sr原子实效应影响较大.     

SU(l|m|n)阶化代数及其规范模型

本文将阶化李代数SU(m|n)扩充到SU(l|m|n),并讨论了它的局部规范理论。找到了规范不变的拉格郎日量,并将SU(2|1)弱电模型推广到统一强、弱、电相互作用模型。 关键词：     

osp(1|4)Toda模型解的构造

将Leznov–Saveliev代数分析和Drinfeld–Sokolov构造这种方法推广到超对称情形,并运用这种方法给出osp(1|4)Toda模型的解,从而将这种方法推广到二秩情况.     

非金属金属|第四代纠缠

纠缠周期量子欲巡游,晶体横场作介丘。尚叹库伦千丈险,崎岖轨道上高楼。1.引子将本文标题包含“纠缠”这一词语,当然是一种噱头。汉语中“纠缠”是一贬义词,表达相互缠绕或遭人烦扰不休。人生的烦恼甚至苦难,大多源于人与人之间的纠缠。从这个意义上,物理人大部分都可能是幸运者,因为在人类各个群体中,只有他们花在人与人纠缠关系上的时间最少。他们将毕生绝大部分精力用于理解物理世界的规律,并乐此不疲。而一般人相信,物理世界最干净、单纯、基本的那些状态当属无纠缠或无相互作用的状态,如“惯性”、“真空”、“低维(零维)”、甚至是“基态”等,纯粹而无忧无虑!     

利用|x〉导出λ■+μ■的本征矢

利用坐标本征矢|x〉在Fock空间的展开式,导出了算符λ■+μ■在Fock空间的本征矢|ψ〉,并证明了其正交完备性.结果表明,得到的|ψ〉既是完备的,又是正交的,完全可以作为一个表象使用.当λ和μ分别取1和0时,|ψ〉约化为坐标本征态|x〉,而当λ和μ分别取0和1时,|ψ〉约化为动量本征态|p〉.因此,|ψ〉所构成的表象是介于坐标表象和动量表象之间的中介表象.     

1×|N 信道聚合物微环谐振器电光开关阵列的开关特性

利用耦合模理论、电光调制理论和微环谐振理论,提出了一个完善合理的聚合物微环谐振器电光开关阵列模型.该器件由1条水平信道、N条竖直信道和N个微环构成,在微环上施加不同方式的驱动电压,可以实现N＋1条信道的开关功能.以1×8信道结构为例,在1 550 nm谐振波长下对该器件进行了优化设计和模拟分析.其结果是：微环波导芯的截面尺寸为1.7×1.7 μm2,波导芯与电极间的缓冲层厚度为2.5 μm,电极厚度为0.2 μm,微环半径为13.76 μm,微环与信道间的耦合间距为0.14 μm,输出光谱的3 dB带宽约为0.05 nm,开关电压约为12.6 V,插入损耗约为0.67~1.26 dB,串扰小于－20 dB,开关时间约为11.35 ps.     

Energy Fluctuation of Ideal Fermi Gas Trapped under Generic Power Law Potential U=Σ_(i=1)~d c_i|x_i/a_i|~(n_i) in d Dimensions

Energy fluctuation of ideal Fermi gas trapped under generic power law potential U=Σ_(i=1)~d c_i|x_i/a_i|~(n_i) has been calculated in arbitrary dimensions.Energy fluctuation is scrutinized further in the degenerate limit μK_B T with the help of Sommerfeld expansion.The dependence of energy fluctuation on dimensionality and power law potential is studied in detail.Most importantly our general result can not only exactly reproduce the recently published result regarding free and harmonically trapped ideal Fermi gas in d =3 but also can describe the outcome for any power law potential in arbitrary dimension.     

Beltrami–McKeon–Schubert Realizations of osp(1|4) Algebra and Possible Supersymmetric Kinematics

The possible supersymmetric kinematics are presented by the contraction method in different limits from Beltrami–Mc Keon–Schubert realizations of osp(1|4). The connections among the superalgebras are established. The comparison with the superalgebras contracted from Beltrami–Ivanov–Sorini realization is made.     

Determinations of $$|V_{cb}|$$ and $$|V_{ub}|$$|Vub| from baryonic $$\Lambda _b$$Λb decays

We present the first attempt to extract \(|V_{cb}|\) from the \(\Lambda _b\rightarrow \Lambda _c^+\ell \bar{\nu }_\ell \) decay without relying on \(|V_{ub}|\) inputs from the B meson decays. Meanwhile, the hadronic \(\Lambda _b\rightarrow \Lambda _c M_{(c)}\) decays with \(M=(\pi ^-,K^-)\) and \(M_c=(D^-,D^-_s)\) measured with high precisions are involved in the extraction. Explicitly, we find that \(|V_{cb}|=(44.6\pm 3.2)\times 10^{-3}\), agreeing with the value of \((42.11\pm 0.74)\times 10^{-3}\) from the inclusive \(B\rightarrow X_c\ell \bar{\nu }_\ell \) decays. Furthermore, based on the most recent ratio of \(|V_{ub}|/|V_{cb}|\) from the exclusive modes, we obtain \(|V_{ub}|=(4.3\pm 0.4)\times 10^{-3}\), which is close to the value of \((4.49\pm 0.24)\times 10^{-3}\) from the inclusive \(B\rightarrow X_u\ell \bar{\nu }_\ell \) decays. We conclude that our determinations of \(|V_{cb}|\) and \(|V_{ub}|\) favor the corresponding inclusive extractions in the B decays.     

通过四比特|χ〉态实现任意量子态的量子隐形传态方案（英文）

提出了一个将四比特|χ〉态作为量子通道实现任意单量子比特和两量子比特的量子态的隐形传送方案.该方案依赖于两个通信站点之间的纠缠.在这个方案里,我们给出了Alice的测量结果以及Bob进行的相应的幺正操作,计算结果表明,该隐形传送方案是完美的,也就是说它的成功概率可达到1.此外,该方案中用到的测量以及纠缠通道的制备在目前的技术下是完全可行的.因此,我们的方案有望在实验上实现.     

Sr原子里德伯态的|ml|相关场电离阈

用偏振激光两步激发,获得不同│m_l│值的里德伯态,在2.4kV/cm以下的电场范围内,测定了Sr原子5snd(n=22-27),│m_l│=0,1,2各里德伯态的电离阈值。理论给出了二阶近似下│m_l│有关的电离阈,并与测量结果作了对照。 关键词：