各向同性谐振子径向基本算符的应用

利用基本算符D/Dρ,ρ,1/ρ对本征函数RNL的递推关系和任意力学量算符对函数RNL的作用结果,容易求得力学量的矩阵元和平均值等。     

高维空间各向同性谐振子的超径向阶梯算符

用因式分解法找出高维空间各向同性谐振子的超径向阶梯算符，给出归一化系数的一般公式，计算能量本征值和超径向本征函数。     

N维各向同性谐振子径向平均值的递推关系和解析表达式

推导出了用于N维各向同性谐振子径向平均值计算的二个递推关系,并在-3≤s≤3的条件下,给出了平均值〈n_rJ_N-2|r^2s|n_rJ_N-2〉的值.二维和三维各向同性谐振子的相关结果均作为特例包含在结论中.     

一类非谐振模型势径向平均值的解析表达式及其递推关系

获得了一类非谐振模型势，即环形非球谐振子、非球谐振子和环形振子径向平均值的两个递推关系.给出了这些非谐振模型势的部分径向幂次平均值的解析表达式. 关键词： 环形非球谐振子 非球谐振子 环形振子 径向平均值 解析表达式 递推关系     

环形非球谐振子径向矩阵元的通项公式及其递推关系

环形非球谐振子的势能函数为V(r,θ)=12mω2r2+22mAr2+22mbr2sin2θ,其精确的能谱方程和归一化的波函数已经获得.在此基础上,给出了环形非球谐振子径向矩阵元的通项公式和不同幂次径向矩阵元之间所满足的递推关系.作为特例,讨论了球谐振子、非球谐振子和环形振子的有关结果. 关键词： 环形非球谐振子 径向矩阵元 通项公式 递推关系     

二维各向同性谐振子的径向阶梯算符

对二维各向同性谐振子的约化径向薛定谔方程，经变数变换后进行因式分解，以刘径向阶梯算符，并用以计算能量本征值与径向本径函数。     

三维各向同性谐振子径向矩阵元的递推关系

推导出三维各向同性谐振子径向矩阵元〈nl|rp|n′l′〉所满足的递推关系 关键词：     

N维各向同性谐振子径向矩阵元的递推公式

各向同性谐振子是量子理论中能够严格求解的可解势场之一.对它的研究和讨论,在理论上和实际的应用中都有重要意义.本文推导出了N维(N≥2)各向同性谐振子径向矩阵元〈nrl|rk|nr′l′〉的递推公式,在此基础上得到了平均值的递推公式,并且讨论了维各向同性谐振子径向矩阵元的递推公式的一般性,而文献[3]与[4]所给出的各向同性谐振子径向矩阵元的递推公式只是本文结论的特例.     

谐振子径向幂坐标矩阵元的一般递推关系

利用谐振子径向波函数的渐近行为和积分特性,导出了谐振子径向幂坐标矩阵元〈n′_rl′|r~k|n_rl〉的递推关系,从而把有关文献中关于对角元〈n_rl|r~k|n_rl〉的递推关系推广到更为一般的形式。     

二维各向同性谐振子径向矩阵元的递推关系

推导出二维各向同性谐振子径向矩阵元〈nm|ρ^q|n′m′〉所满足的递推关系.     

Angular distribution of tensor polarizations in 2H(α, 5Heg.s)p from the sequential decay reaction 2H(α,p)5Heg.s(α)n

The sequential decay reaction ²H(α,p)⁵He^g.s(α)n has been studied at E_α = 22.5 MeV in kinematically complete p-α coincidence experiments with special regard to the tensor moments of even rank of the intermediate state ${}^5\text{He}{}^{\mathrm{<mtext>3</mtext><mtext>2?</mtext>}}$. From the measured absolute differential cross section of this reaction, the angular distributions of the second step for the ⁵He^g.s c.m. production angles from 45.6 to 119.8 were extracted. By applying Welton's formalism to the second step the tensor moments of even rank of the intermediate ⁵He system were deduced and compared to calculations in the cluster-model formalism. They as well as the absolute differential cross sections for ²H(α,pα)n were found to be in good agreement with the sequential decay model. Small deviations seem to arise from Coulomb interaction between p and α in the final channel and from the restriction to partial waves l ≦ 2.     

The ξ-approximation and the 2− (0.96 MeV β−)2+ transition in 198Au

It is shown that the recent measurement of β-γ(circularly polarized) correlation in ¹⁹⁸Au performed by Hartman and Daniel is inconsistent with a great number of experiments realized previously on the 2^?(0.96 MeV β^?)2⁺ transition. In addition, we have confirmed that this process is qualitatively well described by the ξ-approximation.     

Dynamic Structure Factor for a Harmonic Oscillator and the Harmonic Oscillator Chain

The recurrance relation method is employed to determine the dynamic structure factor for the single harmonic oscillator and a linear chain of harmonic oscillators. Approximative schemes based on this approach are proposed. Comparison is made with exactly known results (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Absolute frequency measurements of the 0002-0000, 2001-0000, and 1201-0000 bands of N2O by heterodyne spectroscopy

The absolute frequencies of 39 lines in the 00⁰2-00⁰0, 20⁰1-00⁰0, and 12⁰1-00⁰0 bands of N₂O in the range 4300–4800 cm^?1 have been measured by heterodyne frequency techniques. The lines were each measured in Doppler-limited absorption, with a color-center laser as a tunable probe of the N₂O and two stabilized CO₂ lasers as reference frequencies. New rovibrational constants have been fitted to these measurements. Tables of calculated transition frequencies are given, with estimated absolute uncertainties as small as 10^?4 cm^?1. The pressure shifts of four lines have been measured, and the values fall within the range of 0 to ?2 MHz/kPa (0 to ?0.2 MHz/Torr).     

Search for direct CP violating charge asymmetries in K±→π±π+π- and K±→π±π0π0 decays

A measurement of the direct CP violating charge asymmetries of the Dalitz plot linear slopes A_g=(g⁺-g^-)/(g⁺+g^-) in K^±→π^±π⁺π^- and K^±→π^±π⁰π⁰ decays by the NA48/2 experiment at CERN SPS is presented. A new technique of asymmetry measurement involving simultaneous K⁺ and K^- beams and a large data sample collected allowed a result of an unprecedented precision. The charge asymmetries were measured to be A^c _g=(-1.5±2.2)×10^-4 with 3.11×10⁹K^±→π^±π⁺π^- decays, and Aⁿ _g=(1.8±1.8)×10^-4 with 9.13×10⁷K^±→π^±π⁰π⁰ decays. The precision of the results is limited mainly by the size of the data sample.     

KAM for the Quantum Harmonic Oscillator

In this paper we prove an abstract KAM theorem for infinite dimensional Hamiltonians systems. This result extends previous works of S.B. Kuksin and J. P?schel and uses recent techniques of H. Eliasson and S.B. Kuksin. As an application we show that some 1D nonlinear Schr?dinger equations with harmonic potential admits many quasi-periodic solutions. In a second application we prove the reducibility of the 1D Schr?dinger equations with the harmonic potential and a quasi periodic in time potential.     

High-throughput optics for X-ray astronomy (*)(**)

Summary High-throughput X-ray optics are required for future X-ray astronomy missions. These optics are composed of a large number of nested confocal mirrors with very thin thickness in order to reduce the losses due to the obstruction of the mirrors wall and to keep the weight within acceptable values. The replica technique by electroforming the mirrors from mandrels provides a cost-effective solution for the manufacture of these X-ray optical systems. In the paper is reported the application of the electroforming process for the fabrication of the X-ray imaging concentrators for the SAX project and for the JET-X X-ray telescope. Moreover some considerations are given concerning a possible use of more elaborated electroforming processes for manufacturing light-weight large-aperture X-ray optics. To speed up publication, the proofs were not sent to the authors and were supervised by the Scientific Committee.     

NaS分子4~2Ⅱ→3~2∑~＋跃迁光辐射特性的理论研究

应用＂反射方法＂计算了ＮａＳ分子４２Ⅱ→３２∑＋跃迁几率密度的分布，对其相应跃迁的自发辐射、粒子数反转、受激辐射等问题进行了理论上的探讨．     

Laser-induced temporal and wavelength resolved spectroscopy of the 2Σ−-2Π and 2Δ-2Π systems of CH and CD isolated in rare gas matrices

The relaxation dynamics of matrix isolated CH and CD have been studied using laser-induced time and wavelength resolved spectroscopy. Vibrationally relaxed B(0′-0″) fluorescence occurs following laser excitation both above and below the gas phase dissociation limit. The vibrational relaxation rate in the B state of CH is found to be 4.6 × 10⁶ sec^?1 while the corresponding rate in CD is 5.7 × 10⁵ sec^?1. The primary accepting mode in the relaxation process is consistent with rotation.