变质量系统相对论力学速度空间中的变分原理

本文给出变质量系统相对论力学速度空间中的变分原理，由此得到变质量系统相对论力学的Ｌａｇｒａｎｇｅ方程。     

转动变质量系统的相对论性动力学方程和变分原理

将经典质量的变化和质量随速度变化这一相对论效应同时考虑,建立定轴转动变质量系统的相对论性基本动力学方程,达朗贝尔(d'Alembert)原理及Lagrange方程. 关键词：     

工科《大学物理》教学中处理变质量问题应注意的地方

本文讨论了经典物理中涉及运动物体质量变化的问题，分析了变质量系统所遵循的动力学方程（密歇尔斯基方程），并与物体惯性质量随速度变化的相对论效应作了比较．     

关于变质量系统的动能定理

同讨论变质量物体运动方程一样,用动能定理处理变质量问题时,通常也有两种方法:一种是以变质量质点(主体)为研究对象,由此可导出变质量质点的动能定理[1];另一种是以变质量系统(二质点系)为研究对象,由此可导出变质量系统的动能定理.应该说,两种方法都是可行的.     

变质量耗散系统的Lagrange方程

本文由方程和Ｄ Ａｌｅｍｂｅｒｔ原理导出了变质量耗散系统的Ｌａｇｒａｎｇｅ方程，给出了耗散函数的一般式，并讨论其应用．     

奇异变质量单面非完整系统Nielsen方程的Noether-Lie对称性与守恒量

在群的无限小变化下, 研究奇异变质量单面非完整系统Nielsen方程的Noether-Lie对称性. 建立系统运动微分方程的Nielsen形式, 给出系统Nielsen方程的Noether-Lie对称性的定义、判据和命题, 得到系统Nielsen 方程的Noether-Lie对称性所导致的Noether守恒量和广义Hojman守恒量. 最后给出说明性算例说明结果的应用. 关键词： 奇异变质量系统 单面非完整约束 Nielsen方程 Noether-Lie对称性     

冷却透平变工况性能预测

冷却透平变工况性能预测葛满初，齐宗敏，徐进（中国科学院工程热物理研究所北京１０００８０）黄忠湖，胡松岩（航空航天部六零六所沈阳１１００１５）关键词变几何透平，冷却气流，变工况１基本理论基本控制方程相对运动坐标系下基本数学模型为：连续方程力学方程能量方...     

变质量完整系统Gibbs-Appell方程的形式不变性

建立变质量完整系统的GibbsAppell方程,给出该方程在无限小群变换下形式不变性的定义和判据,并在确定的条件下由不变性引导出守恒量.举例说明结果的应用 关键词： 分析力学 变质量完整系统 Gibbs-Appell方程 不变性 守恒量     

变质量牛顿运动定理及其应用

变质量问题是经典力学中常遇到的问题,此类问题可通过系统的动量定理、动能定理或功能原理解决,但大部分老师和学生仍然对牛顿第二定律更加熟悉.本文通过牛顿第二定律和系统的动量定理两种方法推导出了适用于变质量物体的运动方程,并写成与牛顿第二定律相同的形式,便于理解与应用,命名为变质量牛顿运动定理.此定理为解决变质量问题提供了一...     

缓变下垫面对浅水方程的动力学订正

讨论了当下垫面随时间缓慢变化时浅水方程的形式. 从控制大气运动的连续性方程和动量方程出发, 将下垫面的缓慢变化作为一个小量叠加到固有下垫面函数上, 利用大气的上下边界条件, 得到改进的浅水方程. 在改进的浅水方程中, 由缓变局部水平体积散度, 订正了局部水平体积散度和流体局部厚度变化之间的平衡, 在此基础上得到包含下垫面缓变的涡度方程.     

Bound States of the Klein-Gordon Equation With Vector and Scalar Wood-Saxon Potentials

In this paper,simultaneously considering the variation of classical mass and the relativistic effect of mass variation with velocity,a relativistic four-covariant equation of variable mass body is built.And the physical meaning of     

Mapping Between Charge-Dyon and Position-Dependent Mass Systems

The primary purpose of this work is to reproduce the scenario composed of a charge-dyon system utilizing position-dependent effective mass (PDM) background in the non-relativistic and in the relativistic regimes. In the non-relativistic case we substitute the exact charge-dyon eigenfunction into PDM Schr?dinger equation, in the Zhu-Kroemer parametrization, and then solve it for the mass distribution considering $M=M(r)$. Analogously, in the relativistic case we study the Klein-Gordon equation for a position-dependent mass, and in this case, we are able to analytically solve the equation for $M=M(r,\theta)$.     

Global Existence Proof for Relativistic Boltzmann Equation with Hard Interactions

By combining the DiPerna and Lions techniques for the nonrelativistic Boltzmann equation and the Dudyński and Ekiel-Jeżewska device of the causality of the relativistic Boltzmann equation, it is shown that there exists a global mild solution to the Cauchy problem for the relativistic Boltzmann equation with the assumptions of the relativistic scattering cross section including some relativistic hard interactions and the initial data satisfying finite mass, energy and entropy. This is in fact an extension of the result of Dudyński and Ekiel-Jeżewska to the case of the relativistic Boltzmann equation with hard interactions. This work was supported by NSFC 10271121 and the Scientific Research Foundation for the Returned Overseas Chinese Scholars, the Ministry of Education of China, and sponsored by joint grants of NSFC 10511120278/10611120371 and RFBR 04-02-39026.     

A relativistic wave equation with a local kinetic operator and an energy-dependent effective interaction for the study of hadronic systems

We study a fully relativistic, two-body, quadratic wave equation for equal mass interacting particles. With this equation the difficulties related to the use of the square roots in the kinetic energy operators are avoided. An energy-dependent effective interaction, also containing quadratic potential operators, is introduced. For pedagogical reasons, it is previously shown that a similar procedure can be also applied to the well-known case of a one-particle Dirac equation. The relationships of our model with other relativistic approaches are briefly discussed. We show that it is possible to write our equation in a covariant form in any reference frame. A generalization is performed to the case of two particles with different mass. We consider some cases of potentials for which analytic solutions can be obtained. We also study a general numerical procedure for solving our equation taking into account the energy-dependent character of the effective interaction. Hadronic physics represents the most relevant field of application of the present model. For this reason we perform, as an example, specific calculations to study the charmonium spectrum. The results show that the adopted equation is able to reproduce with good accuracy the experimental data.     

Dissociation of Hadrons in Quark Matter Within a Finite-Temperature Field-Theory Approach on the Light Front

We present a relativistic three-body equation to investigate the properties of nucleons in hot and dense nuclear/quark matter. Within the light-front approach we utilize a zero-range interaction to study the three-body dynamics. The relativistic in-medium equation is derived within a systematic Dyson equation approach that includes the dominant medium effects due to Pauli blocking and self-energy corrections. We present the in-medium nucleon mass and calculate the dissociation of the three-body system.     

相对论电子束对波的相速的影响

在小信号情况下研究了相对论电子束对加速器微波相速的影响.首次提出了电子束流的介质等效的思想,并建立了等效的相对介电常数的计算公式.同时,建立了考虑小信号下相对论电子束的盘荷波导的简化色散方程.     

介子束缚态相对论本征方程的非微扰重整化

介子结合态本征方程中δ相互作用可用T矩阵进行非微扰重整化,深入理解重整化的一些基本问题:物理结果与重正化点的选取无关,T矩阵非微扰重整化的物理实质. Nonperturbative T-matrix renormalization of the relativistic eigen equation for meson mass spectra is described and the expressions for eigen mass spectra and eigen wave functions are given.     

Equations of motion for a relativistic wave packet

The time derivative of the position of a relativistic wave packet is evaluated. It is found that it is equal to the mean value of the momentum of the wave packet divided by the mass of the particle. The equation derived represents a relativistic version of the second Ehrenfest theorem.