空间羣算符的矩阵元

本文首先通过对波失星直接乘积的分析指出,如果 ^*K″∈^*K?^*K′,则波矢峯G_k″可以有下面四种情况:A)G_k同G_k′,是G_k″的子峯,B)G_k=G_k′=G_k″,C)G_k″=G_s, D)G_s是G_k″的子峯。根据上述四种情况,分别考虑积分A=μ″^i″(k″)|f_μⁱ(k)|f_μ′^i′(k′)>的简约。并且证明,对所有四种情况,积分A的值均可由短阵U的矩阵元统一地表达出来。矩阵U是使可约表示Г′简约的转换矩阵,对四种情况,可约表示Г′分别是:A)(Г_kⁱ?Г_k′^i′)^(?),B)Гⁱ?Г_k′^i′,C)Г_k^i(s)?Г_k′^i′(s),D)(Г_k^i(s)?Г_k′^i′(s))^(?)。最后,利用准投影算符的方法,对矩阵U进行了计算,导出空间峯Wigner-Eckart定理的表式。     

关于Pt偶同位素的h9/2质子对

本文对于Pt偶同位素中的h_9/2质子对的排列现象作了比较系统的计算和讨论.结果表明,如用改善的Nilsson参数κ、μ,给出的h_9/2的排列频率与νi_13/2排列频率的差值Δhω_c=hω_c(πh_9/2)－hω_c(νi_13/2)对于78¹⁸⁴Pt106核具有最小值,约为75keV.这和最近实验上确定的¹⁸⁴Pt核转晕带上出现的大的上弯现象,是由于νi_13/2和πh_9/2两个排列频率非常靠近的结果一致.而运用Nilsson的标准κ、μ则不能给出这一结果.这两个排列的先后次序仍是值得深入研究的问题.对于相邻Pt偶同位素的πh_9/2排列频率的理论预言,期待着实验数据的检验.     

第Ⅵ类两态叠加多模叠加态光场的广义非线性等阶N次方H压缩

本文根据量子力学中的线性叠加原理,构造了由多模相干态|{Z_j}〉_q与多模虚相干态|{iZ_j}〉_q这两者的线性叠加所组成的第类两态叠加多模叠加态光场|φ^₆(2)〉_q.利用多模压缩态理论,研究了态|φ^₆(2)〉_q的广义非线性等阶N次方H压缩特性.结果发现:1)在腔模总数q与压缩阶数N这两者之积取偶数亦即qN=2p的条件下,如果p=2l(l=1,2,3,…,…),则无论各模的初始相位和∑_j=1^qφ_j、态间的初始相位差(θ_pq^(R)-θ_pq^(I))以及各单模相干态光场的平均光子数之和∑_j=1^qR_j²等如何变化,态|φ^₆(2)〉_q总是恒处于等阶N-H最小测不准态.2)在qN=2p的条件下,如果p=2l+1(l=0,1,2,3,…,…),则当∑_j=1^qφ_j、(θ_pq^(R)-θ_q^(I))、∑_j=1^qR_j²、[(θ_pq^(R)-θ_q^(I))-∑_j=1^qR_j²]等分别满足一定的量子条件(或者在一些特定的闭区间内连续取值)时,态|φ^₆(2)〉_q总可呈现出周期性变化的等阶N次方H压缩效应.     

相场再结晶储能释放模型与显微组织演变的模拟研究

在相场再结晶模型中提出了形式为 f(η_i^k,η_j^k) = E_s (η_i^de )² (1-(η_j^re)²)的冷变形储能项,并应用该模型模拟了 AZ31镁合金的再结晶过程,模拟结果和实验观测结果符合很好.研究表明, 引入储能释放模型可以实现再结晶形核物理过程的模拟; 模拟结果可以把合金在冷变形后退火的过程按照机理分为再结晶和热晶粒 长大两个阶段,模拟得出的理论再结晶时间是实验再结晶时间的2/3. 考察了冷变形应变大小对形变金属的亚晶粒尺寸和储能的影响机理和 试验结果,并将考察结果代入到改进后的再结晶模拟模型, 成功地再现了一个经典实验结果:随预先应变量的增加, 存在临界应变量对应的一个再结晶晶粒尺寸峰值.同时还给出了 这一经典实验结果的理论解释.     

在182,184,186Au的πi13/2⊙νi13/2带中寻找旋称反转

为了搜寻¹⁸²Au, ¹⁸⁴Au,¹⁸⁶Au核中πi_13/2⊙νi_13/2转动带的旋称反转, 我们通过¹⁵²Sm(³⁵Cl,5n)¹⁸²Au,¹⁷¹Yb(¹⁹F,4n)¹⁸⁶Au和¹⁵⁹Tb(²⁹Si,4n)¹⁸⁴Au反应对¹⁸²Au,¹⁸⁴Au, ¹⁸⁶Au核进行了在束γ谱学研究. 本工作扩展了这3个核πi_13/2⊙νi_13/2带的能级纲图, 特别是确定了¹⁸⁴Au核πi_13/2⊙νi_13/2带的能级自旋宇称, 发现了低自旋旋称反转现象.     

η、η′和ι的夸克和胶子内容、双光子衰变和J/ψ辐射衰变产生

本文引进q_iq_i→q_jq_j以及q_iq_i→(gg)湮没项^[1],并考虑了对湮没项的SU(3)破坏效应^[2],讨论了η、η′和ι的混合,得到了它们的有声有色和胶子内容.与此同时,引入EPCAC(扩充的部分守恒赝矢流)假设^[3],考察了η、η′和ι的双光子衰变.本文还计算了衰变宽度比R₁=Γ(J/ψ→γη′)/Γ(J/ψ→γη)以及R₂=Γ(J/ψ→γη′)/Γ(J/ψ→γι),指出了实验结果对纯胶子球质量值的限制.     

Influence of rotational excitation and collision energy on the stereo dynamics of the reaction： N（4S）＋H2 （v = 0, j = 0, 2, 5, 10） →NH（X3∑-）＋H

The N+H₂ reaction has attracted a great deal of attention from both the experimental and the theoretical community, and most of the attention has been paid to the first excited state N(²D) atoms in collisions with hydrogen molecules and the scalar properties of the reaction. In this paper, we study the stereo dynamical properties and calculate the reaction cross sections of the N(⁴S) + H₂ (v=0, j=0, 2, 5, 10) → NH(X³Σ^-) + H using the quasi-classical trajectory (QCT) method on an accurate NH₂ potential energy surface (PES) reported by Poveda and Varandas [Poveda L A and Varandas A J C 2005 Phys. Chem. Chem. Phys. 7 2867], in a collision energy range of 25 kcal·mol^-1-140 kcal·mol^-1. Results indicate that the reactant rotational excitation and initial collision energy both have a considerable influence on the distributions of the k-j′ correlation, the k-k′-j′ correlation and k-k′ correlation. The differential cross section is found to be sensitive to collision energy.     

第Ⅱ种强度不等的非对称两态叠加多模叠加态光场的任意奇数阶等阶N次方Y压缩

本文利用多模压缩态理论,研究了第Ⅱ种强度不等的非对称两态叠加多模叠加态光场|Ψ_Ⅱ^(ab)>_q的任意奇数阶等阶N次方Y压缩特性.结果发现:在压缩阶数N=2p+1的条件下,无论p=2m还是p=2m+1(m=0,1,2,3,…,…),只要构成态|Ψ_Ⅱ^(ab)>_q的两个不同的量子态|{-Z_j^(a)*}>_q与|{-iZ_j^(b)*}>_q的各对应模的强度(即平均光子数)和初始相位都不相等,亦即Rj(a)≠Rj(b)和φj(a)≠φj(b)(j=1,2,3,…,q),并且 R_j^(a)(2p+1)= R_j^(b)(2p+1),则当各对应模的初始相位φ_j^(a)与φ_j^(b)、各对应模的初始相位差(φ_j^(a)-φ_j^(b)),态间的初始相位差(θ_nq^(aR)-θ_nq^(bI))以及光子干涉项的幅度 =R_j^(a)R_j^(b)等分别满足一定的量子化条件时,态|Ψ_Ⅱ^(ab)>_q的第一及第二这两个正交分量总可分别呈现出周期性变化的、任意奇数阶等阶N次方Y压缩效应.这一结果,与现有报道的结果截然不同.     

质量数在160-180核区形变双奇核高自旋态实验研究

基于在160-180核区形变双奇核高自旋态研究中所取得的研究结果和最近几年陆续发表的双奇核高自旋态核谱学数据,系统地考察和研究了πh_11/2⊙νi_13/2强耦合带和πh_9/2⊙νi_13/2半退耦带旋称反转的特征和规律.指出^182,184Au核素的πh_13/2⊙νi_13/2半退耦带也可能出现旋称反转;有限的实验数据似乎支持这一观点.首次在双奇核^178,180Ir的πh_11/2⊙νi_13/2强耦合带中发现了低转频下的逐渐顺排现象;在¹⁷⁸Ir核中发现了回弯频率反常超前.这些反常现象可能与核形变(或中子对力)的组态依赖性有关.     

电子-质子的深度非弹性散射(Ⅰ)

本文应用戴逊表示对层子击出图形进行更严格的研究,以考察:这种机制是否确能给出无标度性;如果能够,它是否要求层子质量很小,以及ν和q²取大值的具体标准是什么?结果表明,在ν足够大时,层子击出图形能给出无标度性,但最初结果与Bjorken的不同,这里得到的是W₁=νf₁(x),W₂=f₂(x)。只有借助于击出图形为主(对深度非弹性散射)的假定,应用规范条件,才能压低W₁和W₂而得到Bjorken无标度性。另外,无标度性的得出,只要求ν取大值(按照某些确定的标准),对q²并无限制。层子质量M亦不要求比核子小。理论上,对于任意的M值,只要ν足够大,都将得到无标度性。     

Guided-Wave Two-Dimensional Acousto-Optic Scanner Using Proton-Exchanged Lithium Niobate Waveguide

Two-dimensional scanning of a 0.6328 mum guided-light beam has been realized using noncolinear acousto-optic (AO) coplanar Bragg diffraction together with colinear AO guided-mode to substrate radiation-mode conversion in a Z-cut Xpropagation LiNbO3 proton-exchanged (PE) waveguide. The two surface acoustic (SAW) waves utilized are at the center frequencies of 500 and 200 MHz, propagating in the Y and X axes, respectively. Two-dimensional scanning of approximately 720 resolvable light beam spots, namely, 18 40 (horizontal vertical) scanning, has been demonstrated using a light beam of 1.0 mm aperture. The total number of resolvable beam spots can be greatly increased from 720 by simply utilizing SAW transducers of larger bandwidth and a light beam of greater aperture. It should also be possible to significantly increase the diffraction efficiency from 3 % by optimizing the parameters of the PE waveguide and the SAWs.     

Femtosecond Transform-Limited Pulse Generation by Compensating for the Linear Chirp of SPM Spectra in Dispersion Shifted Fibers

A simple technique of pulse compression, based on the linear chirp compensation of self-phase modulation (SPM) spectra in dispersion shifted fibers, is demonstrated. The optimization procedure is carried out, for a short span of a single-mode fiber, using a parabolic law, which describes the behavior of the squared output pulse width versus the pump peak power in the case of Gaussian pulses. The experimental results give a minimum pulse duration of 233 fs, which is in good agreement with the model. Shorter and coherent pulses, down to 90 fs, have been obtained by inserting an interference filter at the optical output.     

Effect ofγ-radiation on the spectral luminescence characteristics of impure cadmium tungstate crystals

Results of a study of the effect of γ-radiation on the spectral luminescence properties of cadmium tungstate crystals doped with silver, bismuth, and molybdenum cations are presented. Spectral characteristics of the nondnnnoped crystals are briefly described. Absorption and photo and X-ray luminescence spectra of the crystals taken before and after exposure to γ-radiation (5.5·10⁴ Gy) are compared. It is found that the spectral characteristics of the crystals doped with silver, bismuth, and molybdenum cations do not change markedly after the exposure. The relation between the type of impurity-induced defects, individual characteristics of the impurity cations, and the character of the effect of γ-radiation on the spectral luminescence properties of impure crystals is analyzed (preliminarily). Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 64, No. 1, pp. 55–60, January–February, 1997.     

Sorting of bending magnets for the SSRF booster

The Shanghai Synchrotron Radiation Facility(SSRF)booster ring,a full energy injector for the storage ring,is deigned to accelerate the electron beam energy from 150MeV to 3.5GeV that demands high extraction efficiency at the extraction energy with low beam loss rate when electrons are ramping.Closed orbit distortion(COD)caused by bending magnet field uniformity errors which affects the machine performance harmfully could be effectively reduced by bending magnet location sorting.Considering the affections of random errors in measurement,both ideal sorting and realistic sorting are studied based on measured bending magnet field uniformity errors and one reasonable combination of bending magnets which can reduce the horizontal COD by a factor of 5is given as the final installation sequence of the booster bending magnets in this paper.     

Measurement of nonlinear coefficient of optical fiber based on small chirped soliton transmission

We measure the waveform and phase curves of short optical pulses before and after transmission over different lengths of fibers by use of the pulse analyzer with the frequency-resolved optical gating (FROG),and numerically simulate pulse evolution under the experimental conditions.The nonlinear coefficient of the fiber is given by comparing the experimental results with the numerical ones.Difference between the experiment and numerical simulation is analyzed.     

Resonance scattering of canonical elastic shells in absorbing fluid medium

Resonance scattering of elastic spherical shell and cylindrical shell while the surrounding fluid medium has absorption is studied. The normal mode solution derived using exact elastic theory and the separation of variables is still applicable. However, the scattering form function has to be modified for the absorbing medium, otherwise the unreasonable result would be obtained. The backscattering form function in the absorbing medium is redefined, and the form function of elastic spherical and cylindrical shell with vacuum or solid matter filled is calculated in various absorption conditions. The results show that the absorption of surrounding fluid leads to notable attenuation of the coincidence resonances in the mid-frequency, but it has a little influence on the low-frequency resonance scattering induced by the filler inside the shell.     

Single-beam self-referenced phase-sensitive surface plasmon resonance sensor with high detection resolution

A versatile and low-cost single-beam self-referenced phase-sensitive surface plasmon resonance(SPR)sensing system with ultra-high resolution performance is presented.The system exhibits a root-mean-square phase fluctuation of ±0.0028.over a period of 45 min.i.e.a resolution of±5.2×10-9 refractive index units.The enhanced performance has been achieved through the incorporation of three design elements:a true single-beam configuration enabling complete self-referencing so that only the phase change associated with SPR gets detected,a differential measurement scheme to eliminate spurious signals not related to the sensor response,and the elimination of retardation drifts by incorporating temperature stabilization in the liquid crystal phase modulato .Our design should bring the detection sensitivity of non-labeling SPR biosensing closer to that achievable by conventional fluorescence-based techniques.     

Influences of SiO2 protective layers and annealing on the laser-induced damage threshold of Ta2O5 films

Ta2O5 films are prepared on BK7 substrates with conventional electron beam evaporation deposition.The effects of SiO2 protective layers and annealing on the laser-induced damage threshold (LIDT) of the films are investigated.The results show that SiO2 protective layers exert little influence on the electric field intensity(EFI)distribution,microstructure and microdefect density but increase the absorption slightly.Annealing iS effective on decreasing the microdefect density and the absorption of the films.Both SiO2 protective layers and annealing are beneficial to the damage resistance of the films and the latter is more effective to improve the LIDT.Moreover,the maximal LIDT of Ta2O5 films is achieved by the combination of SiO2 protective layers and annealing.     

A stereo matching algorithm using multi-peak candidate matches and geometric constraints

Gray cross correlation matching technique is adopted to extract candidate matches with gray cross correla- tion coefficients less than some certain range of maximal correlation coefficient called multi-peak candidate matches. Multi-peak candidates are extracted corresponding to three closest feature points at first. The corresponding multi-peak candidate matches are used to construct the model polygon. Correspondence is determined based on the local geometric relations between the three feature points and the multi-peak candidates. The disparity test and the global consistency checkout are applied to eliminate the remaining ambiguous matches that are not removed by the local geometric relational test. Experimental results show that the proposed algorithm is feasible and accurate.