自由粒子

超光速自由粒子的Klein-Gordon方程和Dirac方程

Klein-Gordon and Dirac equation of a free particle moving at super-light-speed

本文从时空均匀性出发，讨论了正齐次Lorentz变换群，利用相应于该变换群的无穷小算符，导出相对论性自由粒子波函数在正齐次Lorentz变换下的表现形式。

This paper , on the viewpoint of uniformity of space-time , deals with the normal homogeneous Lorentz transformation group , and derives out the form of wave function of relativistic free particle under normal homogeneous Lorentz transformation by applying infinitesimal operator relative to the transformation group .

Hamilton原理对经典粒子、微观粒子及引力场中自由粒子的运动方面所起的作用做了推导分析。

In this paper , it is analyzed that Hamilton principle has effect on particle .

Kasner时空自由粒子的Dirac方程

Dirac equations in the Kasner spacetime

本文用旋量零标架方法讨论了Kasner时空中自由粒子的Dirac方程，并进一步讨论了它的精确解。

The Dirac equations of free particles in Kasner spacetime are studied in spinor null tetrad formalism and the solution of the Dirac equations are discussed .

应用Hamilton原理，找到引力场中自由粒子的拉格朗日函数，同时考虑史瓦西度规和拉格朗日方程，推导出行星绕太阳运动的轨道方程。

The Lagrange function of a free point in gravitational field is found by applying the Hamilton principle . Based on the Schwarzschild Gauge and the Lagrange equations , the moving orbital equation of the planets round the sun is derived .

非稳定自由粒子场方程的解

A solution for the equation of non-stationary free particle field

高温低密度自由粒子系统的热力学性质展开

A Free Particle System at Low Density and High Temperature

在此，使用一个自由粒子高斯分布的波包做为例子。

A free particle gaussian wave packet is used as an example .

服从中间统计的理想自由粒子模型的低温比热

Specific Heat of an Ideal Free-particle Model Obeying Intermediate Statistics at Low Temperatures

不确定原理和自由粒子的量子理论

Uncertainty principle and quantum theory of free particle

自旋为2的自由粒子的投影算符和传播子

Projection operator and propagator for spin 2

引力理论的场方程与自由粒子运动方程的一般形式

General forms of field equations and free particle 's equations of motion for theories of gravitation

开始三章阐述了自由粒子的相对论量子力学的多个方面。

The first three chapters deal with various aspects of the relativistic quantum mechanics of free particles .

所有这些影响都会妨碍电子和空穴去继续它们作为准自由粒子的稳定运动，而引起散射。

All these prevent the electrons and holes from continuing their steady motion as quasi-free particles , and introduce scattering .

我们特别研究自由粒子的正则实现和一个经过简化的群量子化过程。

In particular , we study the canonical realization of the free particle case and a simplified version of group quantization .

利用现行标准的统计力学方法推导出中间统计的巨配分函数，得到了服从中间统计的理想自由粒子模型的热力学函数。

The grand partition function of intermediate statistics with a standard method is derived to calculate the thermodynamic properties of an ideal free-particle model .

其实，对自由粒子做局域规范变换，粒子就已被自动置于场的相互作用之中了。

As a matter of fact , free particle are automatically placed in the field interaction once local gauge transformation is made on them .

借助自由粒子的量子能态分布理论，利用3n维空间球体模型，实现了对理想气体系统微观状态数的计算。

According to the distribution theory of quantum energy state , the calculation of microstate 's number in a system for ideal gas has been achieved by means of 3n dimensional ball model .

在对自由粒子的狄拉克方程的推导一文中，作者曾指出，仅在量子力学和相对论的基础上，就可以用正则粒子的方程推导出狄拉克方程。

In a paper " Derivation of Dirac 's Equation for a Free Particle ", it was shown by the author that Dirac 's equation can be deduced from a canonical formulation on the ground of relativity and quantum mechanics only .

讨论一维等高双方势垒对能量确定的自由粒子的散射问题，分析散射中略去向右反射对双势垒透射系数的影响。

Scattering of free particles by a one dimensional double square barrier composed of two square barriers of equal height is investigated , and the effect on the total transmission coefficient due to neglect of reflection from the right side of the first square barrier is analyzed .

在对称碰撞实验中，用VISAR测试系统记录了自由面粒子速度剖面。

Symmetrical impact experiments were performed for tantalum , the free surface velocity profiles were measured with VISAR system .

同时对由自由面粒子速度剖面来计算层裂强度的模型进行了讨论，发现模型差异对钽的层裂强度的影响超过30%。

Discussion about models for calculating spall strength was conducted . It was found that the spallation strength of tantalum calculated with different models has differences up to more than 30 % .

Schamberg的超热力学自由分子流粒子&表面作用模型已用于计算凸体的阻力系数。

The particle-surface interaction model in " hyperthermal free-molecule flow " postulated by Schamberg has been used to calculate drag coefficient of convex bodies .

气&固两相自由射流的粒子仿真方法

Study of Gas-particle Free Jets with the Particle Simulation Method

不同加载速率下铝自由面微粒子喷射现象研究

Study on the phenomena of the mass ejection from the free surface of aluminum at different dynamic loading rates

发现了转动自由度在粒子发射中所起的作用对系统的激发能有一定的依赖关系。

In addition , the effect of rotational degree of freedom on particle evaporation prior to scission was found to depend on the excitation energy .

本文采用由自由核子，α粒子及平均重核组成的核统计平衡模型描述由自由核子和许多种类原子核组成的系铣。

In this paper , the properties of system consisting of various nuclear species and free nucleons are described by a nuclear statistical equilibrium system consisting of a typical heavy nucleus , a particles , free neutrons and protons .

论文采用统计求和法推导出系统自由能的表达式，利用系统自由能对粒子数取最小值的原理得到计算电离度的沙赫方程。

In this article , statistical summation method is used to obtain system free energy expression . And the equation to calculate ionization rate is obtained at the base of the principle that the system free energy is the least versus the particle number .