变质量非完整系统的相对论性Hamilton原理

本文给出变质量系统的相对论性 D'Alembert—Lagrange 原理,推导出变质量非完整系统的相对论性Hamilton 原理。     

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     

Lie symmetry and Hojman conserved quantity of Nambu system

This paper studies the Lie symmetry and Hojman conserved quantity of the Nambu system. The determining equations of Lie symmetry for the system are given. The conditions for existence and the form of the Hojman conserved quantity led by the Lie symmetry for the system are obtained. Finally, an example is given to illustrate the application of the results.     

Symmetry of the Lagrangians of holonomic nonconservative system in event space

This paper analyzes the symmetry of Lagrangians and the conserved quantity for the holonomic non-conservative system in the event space. The criterion and the definition of the symmetry are proposed first, then a quantity caused by the symmetry and its existence condition are given. An example is shown to illustrate the application of the result at the end.     

Noether——Lie symmetry and conserved quantities of mechanical system in phase space

In this paper, a new kind of symmetry and its conserved quantities of a mechanical system in phase space are studied. The definition of this new symmetry, i.e. a Noether--Lie symmetry, is presented, and the criterion of this symmetry is also given. The Noether conserved quantity and the generalized Hojman conserved quantity of the Noether--Lie symmetry of the system are obtained. The Noether--Lie symmetry contains the Noether symmetry and the Lie symmetry, and has more generalized significance.     

变质量可控力学系统的相对论性Ценов方程

在可控力学系统中同时考虑经典变质量和相对论变质量的情况,建立了变质量可控力学系统的相对论性Ｄ′ＡｌｅｍｂｅｒｔＬａｇｒａｎｇｅ原理的Ценов形式,得到了变质量非完整可控力学系统在广义坐标和准坐标下的相对论性Ценов方程。     

包含伺服约束的变质量非完整力学系统的广义Nielsen方程

本文由变质量力学系统的D＇Alembert—Lagrange原理出发导出了包含伺服约束的变质量非完整力学系纯的广义NielSen方程。     

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     

非线性非完整空间变质量系统相对论性基本动力学方程

给出了非线性非完整空间变质量系统的相对论性基本动力学方程,证明了其与微分变分原理的一致性。在不附加虚位移Ａｐｐｅｌчетаев定义或牛青萍定义的情况下,由所给方程推导出非线性非完整变质量系统的相对论性广义ＭａｃＭｉｌｏｎ方程和Ａｐｐｅｌ方程