Legendre's relation and the quantum equivalence osp(4|4)1 = osp(2|2)−2 ⊕ su(2)0

Using explicit results for the four-point correlation functions of the Wess–Zumino–Novikov–Witten (WZNW) model we discuss the conformal embedding osp(4|4)₁ = osp(2|2)₋₂ ⊕ su(2)₀. This embedding has emerged in Bernard and LeClair's recent paper cond-mat/003075. Given that the osp(4|4)₁ WZNW model is a free theory with power law correlation functions, whereas the su(2)₀ and osp(2|2)₋₂ models are CFTs with logarithmic correlation functions, one immediately wonders whether or not it is possible to combine these logarithms and obtain simple power laws. Indeed, this very concern has been raised in a revised version of cond-mat/003075. In this paper we demonstrate how one may recover the free field behaviour from a braiding of the solutions of the su(2)₀ and osp(2|2)₋₂ Knizhnik–Zamolodchikov equations. We do this by implementing a procedure analogous to the conformal bootstrap programme Nucl. Phys. B 241 (1984) 333. Our ability to recover such simple behaviour relies on a remarkable identity in the theory of elliptic integrals known as Legendre's relation.     

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.     

态|ψ(3)5〉q中广义电场的2(2m+1)次方Y压缩特性

利用多模压缩态理论,研究了由多模复共轭相干态|{Z*j}〉q(j=1,2,3,…,…,q)、多模复共轭相干态的相反态|{-Z*j}〉q和多模虚相干态|{iZj}〉q的线性叠加所组成的第Ⅴ类三态叠加多模叠加态光场|ψ(3)5〉q中广义电场分量的等幂次N次方Y压缩特性.结果发现:当压缩次数N=2p且p=2m+1(m=0,1,2,…,…)时,在一定的条件下,态|ψ(3)5〉q的广义电场分量(即第二正交相位分量)可呈现出周期性变化的、偶数次的等幂次2(2m+1)次方Y压缩效应.     

Extended commutator method for boson mapping in the seniority scheme: Two non-degenerate-j shells with |j1 − j2| = 2

The commutator method of Bonatsos, Klein and Li for approximate boson mapping in the seniority scheme, previously illustrated for the single-j shell-model algebra SO(2(2j + 1)), has been extended in order to be applicable to the case of many non-degenerate-j shells, and the physically interesting case of two shells with |j₁ − j₂| = 2 has been studied in detail. The most important new feature of this work is that bosons corresponding to pairs of two fermions each of which belongs to a different shell have been included in the calculation. (These bosons had been omitted in previous work using the Otsuka-Arima-Iachello method.) The calculation is successively carried out to lowest and to next-higher order, the latter exhibiting the necessity of including f- and g-bosons (both of positive parity) in the calculation in order to reach algebraic consistency.     

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…     

On the Finite-Dimensional Quantum Group M3⊕(M2|1(Λ2))0

We describe a few properties of the nonsemisimple associative algebra =M₃ (M_2|1 (²))₀, where ² is the Grassmann algebra with two generators. We show that is not only a finite-dimensional algebra but also a (noncommutative) Hopf algebra, hence a finite-dimensional quantum group. By selecting a system of explicit generators, we show how it is related with the quantum enveloping of SL_q(2) when the parameter q is a cubic root of unity. We describe its indecomposable projective representations as well as the irreducible ones. We also comment about the relation between this object and the theory of modular representation of the group SL(2, F₃), i.e. the binary tetrahedral group. Finally, we briefly discuss its relation with the Lorentz group and, as already suggested by A.~Connes, make a few comments about the possible use of this algebra in a modification of the Standard Model of particle physics (the unitary group of the semisimple algebra associated with is U(3) × U(2) × U(1)).     

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：     

Electroproduction of π0-mesons on protons at very low values of |q 2|

The electroproduction of π⁰-mesons on protons has been measured with electrons of 1.7 and 2.1 GeV energy in the region of the nucleon resonances at \(W = \sqrt {(q + p)^2 } = 1,400 - 2,000MeV\) at rather low values of |q ²|=|(e?e′)²|=0.01–0.1 GeV² but at high values of the nucleon recoil |t|=|(p?p′)²|≈0.6–2.2 GeV² corresponding to \(\Theta _\pi ^{cm} \approx 145^ \circ - 180^ \circ\) . Up toW≈1,650 MeV the cross section for π⁰-production with virtual photons of |q ²|≈0.03 GeV² is only slightly smaller than that with real photons. ForW?1,700 MeV the cross section at |q ²|≈0.03 GeV² is on average a factor of 2 smaller than that atq ²=0 but only slightly higher than that at |q ²|≈0.3–1 GeV².     

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.     

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     

态|ψ_5~((3))〉_q中广义电场的2(2m+1)次方Y压缩特性

利用多模压缩态理论 ,研究了由多模复共轭相干态 | {Z j}〉q(j =1,2 ,3,… ,… ,q)、多模复共轭相干态的相反态 | { -Z j}〉q 和多模虚相干态 | {iZj}〉q 的线性叠加所组成的第Ⅴ类三态叠加多模叠加态光场 | ψ( 3)5〉q 中广义电场分量的等幂次N次方Y压缩特性 .结果发现 :当压缩次数N =2 p且 p =2m + 1(m =0 ,1,2 ,… ,… )时 ,在一定的条件下 ,态 | ψ( 3)5〉q 的广义电场分量 (即第二正交相位分量 )可呈现出周期性变化的、偶数次的等幂次 2 (2m + 1)次方Y压缩效应 .     

CS2+( 2Πg )的(1+1)光解离动力学研究

在气束条件下,利用483．2nm的激光（3＋1）共振增强多光子电离（REMPI）CS2分子以产生CS2＋离子源,用另一束可调谐激光在424－482nm内,通过对CS2^+(x^2∏g)(1+1)双光子共振解离产生的碎片离子发谱的探测,来获取CS2^+的光解离动力学信息,光解离碎片S^+的激光发谱（PHOFEX）可归属为CS2^+（A^2∏u,3/2(v′=0-4,v′＝v1_(1/2)v2-)←X^2′∏g,3/2(0,0,0))和（A^2∏u,1/2(v=0-4)←X^2∏g,1/2(0,0,0))跃迁,对CS2^+光解离动力学的研究表明,其产生S^+的通道为：（i)CS2吸收一个光子从基态X^2∏g共振激发至A^-2∏u态,（ii)已布居的A^-2∏u态的振动能级和X^2-∏g态的高振动能级产生耦合,（iii)吸收第二个光子从上述耦合的振动能级进一步激发至B^2∑u^+态,再通过B^-2∑u^+态与^4∑^-态间的自旋－轨道相互作用,经由4∑^-排斥态解离产生S^+_CS。     

NH2自由基(A~)2A1,(X~)2B1电子振动能级结构及(A~)2A1～(X~)2B1电子振动跃迁矩的理论计算

利用大振幅弯曲振动哈密顿和矩阵变换方法,考虑Renner-Teller效应 ,计算了NH2自由基(A~)2A1,(X~)2B1态电子弯曲振动和K型转动能级.由计算得到的态函数和基态电偶极矩,计算NH2自由基(A~)2A1～(X~)2B1电子振动相对跃迁矩和电子激发态(A~)2A1的荧光寿命,理论计算结果与实验值符合较好.     

The quenching of excited F(2 P 1/2) and Cl(2 P 1/2) atoms by N2(X 1Σ g + ) molecules

The rate constant for the quenching of excited F(² P _1/2) and Cl(² P _1/2) atoms in collisions with N₂ molecules were calculated. The electron interaction matrix between N₂(X ¹Σ _g ⁺ ) and F and Cl atoms in the ² P _j state calculated asymptotically taking into account quadrupole-quadrupole, dispersion, and exchange interactions was used. The dynamic problem of electronic transitions was solved using the modified wave number approximation, the exactly solvable semiclassical exponential nonadiabatic bond model, and the method of phase functions.     

High-Resolution Spectroscopy of Jet-Cooled (32)SO(2) and (34)SO(2): The ã(3)B(1)-;X(1)A(1), 2(1)(0) and 1(1)(0) Bands

Laser-induced excitation spectra of the two bands ?(3)B(1)-;X(1)A(1), 2(1)(0) and 1(1)(0) of (32)SO(2) and (34)SO(2) have been recorded in a supersonic jet at a resolution of 0.015 cm(-1). The rotational and electron-spin fine structure has been analyzed for both isotopic species. Analysis of the rotational and electron-spin fine structure yields precise values of the rotational constants A, B, and C and the spin constants alpha and beta for both (32)SO(2) and (34)SO(2) in the states ?(3)B(1) (010) and (100). No interaction between these two vibrational states with any nearby triplet state is observed for rotational levels with J 相似文献