新型高功率虚阴极径向反射速调管振荡器

 提出了一种新型的高功率虚阴极径向反射速调管振荡器,它结合了虚阴极振荡器容易起振和速调管微波产生效率较高的特点。利用虚阴极反射电子束对调制腔的正反馈,可以减小起振电流和起振时间,而且提高了微波产生效率。它是一种结构简单、紧凑的器件。用2.5维PIC程序对这种器件进行了数值模拟研究。得到的数值模拟结果表明,输入电压620 kV,电流25 kA,输出微波周期平均功率为2.5 GW。虚阴极振荡频率被锁定,频率为1.25 GHz。     

Study of a compact external magnetic field radial split-cavity oscillator

With the experiment result analyses of a coaxial virtual cathode oscillator (CVCO), a new kind of compact radial split cavity oscillator (RSCO) is presented in this paper. On the oscillator, a low resistance tube is formed by using the diode structure of a CVCO, and a radial split-cavity structure is formed by several meshes that cause the electronic beam to transmit. Calculating all kinds of parameter, at the input parameter 350 kV, 27 kA, the numerical simulation results show that the average output microwave power is about 4.0 GW, the microwave frequency is 1.37 GHz, and the electronic efficiency is 42.3%.     

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     

Study of a compact external magnetic field radial split-cavity oscillator

With the experiment result analyses of a coaxial virtual cathode oscillator (CVCO), a new kind of compact radial split cavity oscillator (RSCO) is presented in this paper. On the oscillator, a low resistance tube is formed by using the diode structure of a CVCO, and a radial split-cavity structure is formed by several meshes that cause the electronic beam to transmit. Calculating all kinds of parameter, at the input parameter 350 kV, 27 kA, the numerical simulation results show that the average output microwave power is about 4.0 GW, the microwave frequency is 1.37 GHz, and the electronic efficiency is 42.3%.     

Radial coherent states—From the harmonic oscillator to the hydrogen atom

We construct spectrum generating algebras of SO(2, 1) ～ SU(1, 1) in arbitrary dimension for the isotropic harmonic oscillator and the Sturm-Coulomb problem in radial coordinates. Using these algebras, we construct the associated radial Barut-Girardello coherent states for the isotropic harmonic oscillator (in arbitrary dimension). We map these states into the Sturm-Coulomb radial coherent states and show that they evolve in a fictitious time parameter without dispersing.     

径向三腔渡越时间振荡器数值模拟

 基于渡越辐射机理结合径向结构的低阻抗特性,提出了一种新型的低阻抗高功率微波器件——径向三腔渡越时间振荡器,它由3个等间距的边耦合同轴腔组成,径向运动电子束与谐振腔中的角向均匀模式场相互作用。采用PIC粒子模拟程序进行了模拟研究。在电子束能量450 keV、束流60 kA且无外加引导磁场的条件下,当结构参数网长为4.8 cm,腔间距为1.4 cm,电子发射面为0.8 cm,内径为8 cm时,获得了平均功率7.4 GW,频率4.1 GHz的微波输出,效率达27.4%,阻抗7.5 Ω。通过粒子模拟给出了束波互作用效率随电子束电压、电流以及谐振腔间距的变化曲线,电子束电压对输出微波频率的影响曲线以及不同谐振频率与最佳谐振腔间距的对应曲线,这些曲线表明该器件具有渡越时间效应的基本特征,属于渡越辐射器件,且具有对电子束质量要求不高的特点。     

幂坐标矩阵元通式中的求和重数

对于一维谐振子、三维各向同性谐振子和氢原子这三个量子体系，本用逐次分部积分法给出了幂（径向）坐标矩阵元的新通式，并论证在这三类通式中所需的示放重数分别为１，１和２。     

同调谐振子的变形

实现了在保持本征值谱结构不变情况下同调谐振子的几种变形.这些变形包括三维各向同性谐振子径向方程、开普勒径向方程、Morse势s态等问题.每一个变形体系对应着同调参量g的确定取值.同调谐振子有一定的普遍适应性,具有丰富的内容. 关键词： 同调谐振子 同调参量 产生算符 湮没算符     

Exact solutions of the Klein—Gordon equation with ring-shaped oscillator potential by using the Laplace integral transform

We present exact solutions for the Klein-Gordon equation with a ring-shaped oscillator potential. The energy eigenvalues and the normalized wave functions are obtained for a particle in the presence of non-central oscillator potential. The angular functions are expressed in terms of the hypergeometric functions. The radial eigenfunctions have been obtained by using the Laplace integral transform. By means of the Laplace transform method, which is efficient and simple, the radial Klein-Gordon equation is reduced to a first-order differential equation.     

构造d维各向同性谐振子四类升降算子的一种方法P

文中得到d维各向同性谐振子归一化径向波函数. 在径向基本算子r,(1)/(r),(d)/(dr)的基础上,可以直接构造d维各向同性谐振子的四类升降算子,同时也得到它们的归一化系数.     

The Three-Dimensional Dirac Oscillator in the Presence of Aharonov-Bohm and Magnetic Monopole Potentials

No Heading We study the Dirac equation in 3+1 dimensions with non-minimal coupling to an isotropic radial three-vector potential and in the presence of a static electromagnetic potential. The space component of the electromagnetic potential has angular (non-central) dependence such that the Dirac equation separates completely in spherical coordinates. We obtain solutions for the case where the three-vector potential is linear in the radial coordinate (Dirac oscillator) and the time component of the electro-magnetic potential vanishes. The relativistic energy spectrum and spinor eigenfunctions are obtained.     

Theoretical oscillator strengths for some transitions in P(III), As(III), Sb(III) and Bi(III)

Relativistic as well as non-relativistic oscillator strengths have been calculated for transitions in the principal sharp and diffuse series of P(III), As(III), Sb(III) and Bi(III) spectra. The radial integrals were computed by employing the wave functions obtained from a semiempirical method which included exchange effects. A comparison is presented for our calculated f_ik values with experimental and other theoretical data. The influence of relativistic effects on oscillator strengths for transitions in the P(III) through Bi(III) homologous sequence is discussed.     

Calculation of external circuit impedances of mm-wave oscillator cavities by a rigorous field analysis method

This paper presents a generalized field analysis method for calculating the external circuit impedances looking outside from the active devices of some millimeter wave oscillators. For a simple oscillator model with a radial disc and a diode existing in a rectangular waveguide, the numerical results are in agreement with the experimental data. Impedance characteristics for several different oscillator configurations are given, and some useful conclusions for oscillator design are derived.     

高效强流径向分离腔振荡器研究

根据同轴虚阴极的结构特点,提出了一种紧凑型径向分离腔振荡器,该径向分离腔的特点是输入电子束的电流可以很大,从而可以得到较高的微波输出功率. 综合考虑影响微波输出的各种因素,在电子束为410kV,电流为35kA的条件下,模拟得到的平均功率大于50GW,频率为146GHz,电子束功率效率达到348%. 关键词： 径向分离腔 高功率微波 同轴虚阴极 电子束分布     

The uncertainties in radial position and radial momentum of an electron in the non-relativistic hydrogen-like atom

Similar to the case of a simple harmonic oscillator, an increase in azimuthal quantum number l will result in simultaneous decrease in both the uncertainty in radial position and the uncertainty in radial momentum for the same principal quantum number n in the non-relativistic hydrogen-like atom. Thus, in some cases of hydrogen-like atom and in the case of a simple harmonic oscillator, the more precisely the position is determined, the more precisely the momentum is known in that instant, and vice versa.     

三维各向同性谐振子波函数的递推关系(英文)

本文应用拉普拉斯变换得到了三维各向同性谐振子波函数边界的精确解,同时,利用同种方法还得到了利用产生算符和湮灭算符表达的该波函数的递推关系.     

The hyperspherical-expansion approach and shell models

By means of Talmi integrals the matrix elements of nuclear interaction in the set of radial differential equations of the hyperspherical-expansion approach are related to the elements of usual shell models. The introduced average field equated to the diagonal element of the core reproduces the form of the effective (two-body) cut-off oscillator. The corresponding eigenvalue problem with a flat (heavy nuclei) and rounded (light nuclei) alternative for the well is solved and compared with the phenomenological relations: the asymptotic saturation can be achieved for the flat well. Using these results the starting set is transformed into the set of integral equations by means of the Green's functions. Then it is, successively, reduced to the eigenvalue equations of usual shell models identical for both the well alternatives. Compared with the usual models some improvements apply and the oscillator length is given automatically.     

Notes on Application of WKB Method

The notes here presented are of the modifications introduced in the application of WKB method. The problems of two- and three-dimensional harmonic oscillator potential are revisited by WKB and the new formulation of quantization rule respectively. It is found that the energy spectrum of the radial harmonic oscillator, which is reproduced exactly by the standard WKB method with the Langer modification, is also reproduced exactly without the Langer modification via the new quantization rule approach. An alternative way to obtain the non-integral Maslov index for three-dimensional harmonic oscillator is proposed.     

一种新型径向三腔同轴虚阴极振荡器全三维粒子模拟研究

提出了一种新型径向三腔同轴虚阴极振荡器,并进行了数值模拟研究. 研究表明: 这种径向三腔结构在束波转换面进行电场调制,能够大幅提高束波转换效率;同时,由阳极栅网和径向三腔结构构成的谐振装置能有效地抑制模式竞争;另外,由于采用了同轴引出结构,在提高能量引出的同时还能有效吸收漂移管中被利用过的电子,因此这种新型虚阴极振荡器能够获得较高的输出功率. 模拟的电子束电压为400 kV,电流为50 kA,主频为4.5 GHz,峰值功率达到6 GW,平均输出功率为3.1 GW,束波转换效率达到15%. 关键词： 高功率微波 同轴虚阴极振荡器 粒子模拟 束波转换效率     

N维各向同性谐振子径向矩阵元的通项表达式

推导出了N维(N≥2)各向同性谐振子径向矩阵元的通项表达式,所得结果包含了以前人们给出的N=2、3时的结果。