变质量物体的相对论四维协变方程

将经典质量的变化和质量随速度而变化这一相对论效应同时考虑,建立变质量物体的相对论四维协变方程,阐述方程的物理意义,并由该方程推出Ackeret公式． 关键词：     

航天光学遥感器光机结构尺寸稳定性变化对成像质量的影响

发射过程中的力学环境和在轨运行时的热环境,影响航天光学遥感器的尺寸稳定性,进而影响成像质量。用光学元件相对各自理想位置的变化、光学元件方程参数的变化和光学元件面形质量的变化表示遥感器光机结构尺寸稳定性的变化。结合实际工程项目,利用Zemax软件,分析主、次镜离焦、离轴、倾斜以及非球面方程参数变化对成像质量的影响。结果表明,离焦和非球面方程参数变化对成像质量影响较离轴和倾斜敏感。     

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．     

工科《大学物理》教学中处理变质问题应注意的地方

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），并与物体惯性随速度变化的相对论效应作了比较。     

质量变化对力学系统形式不变性和守恒量的影响

研究质量变化对力学系统形式不变性和守恒量的影响.给出常质量系统和变质量系形式不变性的判据方程.比较两个判据方程得到质量变化时形式不变性仍保持的条件.给出两个系统有同样守恒量的条件.举例说明结果的应用. 关键词： 分析力学 变质量系统 形式不变性 守恒量     

变质量系统过程方程及有漏气压缩过程的热力学分析

变质量热力系在状态变化的同时其工质数量也在变化,且其变化对热力过程的特性有影响。但常用的过程方程不能完全反映包括工质数量变化在内的参数间关系。本文用变质量系统热力学基本关系式导出过程方程一般式,再引入过程指数,推导出参数变化规律及功的计算式。这些式子简便、明晰,有利于对过程特性的了解,亦便于实用计算。     

用变分法解Fokker—Planck方程计算核裂变几率

发展了一种用变分法解Fokker-Planck方程的方法,计算了一维核裂变几率,研究了F-P方程与Smoluchowski方程的关系,为推导多维的质量系数和粘滞系数随形变参量变化并具有交叉项的Smoluchowski方程和解位能形式比较复杂的多维的F-P方程打下了基础.     

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     

从流夸克质量到组分夸克质量的动力学过渡的研究

在彩虹近似下用Dyson Schwinger 方程研究了禁闭夸克的传播子, 得到了夸克动力学质量随动量变化的关系, 即得到了从流夸克质量到组分夸克质量的动力学过渡.     

Mie-Griineisen状态方程下多介质守恒型欧拉方程组的数值计算

针对Mie-Grüneisen状态方程下的多介质流场,将Euler方程中的部分复杂参数作为守恒量引入到新的方程中,使原方程结构得到简化.同时引入质量分数以表示流场中不同介质的变化,并对通量作近似处理,再利用MUSCL-TVD格式结合改进过的Euler方程进行求解,模拟Mie-Grüneisen状态方程下多介质相互作用的...     

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     

相对论性转动变质量系统的Lie对称性与守恒量

给出相对论性转动变质量系统的d’Alembert原理和运动微分方程.利用运动微分方程在无限小变换下的不变性,建立相对论性转动变质量系统的Lie对称确定方程,得到结构方程和守恒量.并举例说明结果的应用 关键词： 相对论 转动 变质量 Lie对称     

Study of the Lie symmetries of a relativistic variable mass system

The differential equations of motion of a relativistic variable mass system are given.By using the invariance of the differential equations under the infinitesimal transformations of groups,the determining equations and the restriction equations of the Lie symmetries of a relativistic variable mass system are built,and the structure equation and the conserved quantity of the Lie symmetries are obtained.Then the inverse problem of the Lie symmetries is studied.The corresponding Lie symmetries are found according to a known conserved quantity.An example is given to illustrate the application of the result.     

Noether‘s theorem of a rotational relativistic variable mass system

Noether‘s theory of a rotational relativistic variable mass system is studied.Firstly,Jourdain‘s principle of the rotational relativistic variable mass system is given.Secondly,on the basis of the invariance of the Jourdain‘s principle under the infinitesimal transformations of groups,Noether‘s theorem and its inverse theorem of the rotational relativistic variable mass system are presented.Finally,an example is given to illustrate the application of the result.     

相对论性变质量系统的守恒律

研究相对论性变质量系统的守恒律.给出相对论性变质量系统的d’Alembert-Lagrange原理,利用其在无限小变换下的不变性条件,得到相对论性变质量系统的守恒律存在的条件和形式,并举例说明结果的应用 关键词： 相对论 分析力学 变质量 守恒律     

Mei Symmetry and Lie Symmetry of the Rotational Relativistic Variable Mass System

The Mei symmetry and the Lie symmetry of a rotational relativistic variable mass system are studied. The definitions and criteria of the Mei symmetry and the Lie symmetry of the rotational relativistic variable mass system are given. The relation between the Mei symmetry and the Lie symmetry is found. The conserved quantities which the Mei symmetry and the Lie symmetry lead to are obtained. An example is given to illustrate the application of the result.     

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 $M=M(r,\theta)$.     

Explicit solutions for relativistic acceleration and rotation

The Lorentz transformations are represented by Einstein velocity addition on the ball of relativistically admissible velocities. This representation is by projective maps. The Lie algebra of this representation defines the relativistic dynamic equation. If we introduce a new dynamic variable, called symmetric velocity, the above representation becomes a representation by conformal, instead of projective maps. In this variable the relativistic dynamic equation for systems with an invariant plane becomes a non-linear analytic equation in one complex variable. We obtained explicit solutions for the motion of a charge in uniform, mutually perpendicular electric and magnetic fields. By assuming the Clock hypothesis and using these solutions, we were able to describe the space-time transformations between two uniformly accelerated and rotating systems. Presented at the International Colloquium “Integrable Systems and Quantum Symmetries”, Prague, 16–18 June 2005.     

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.