相对论修正对麦克斯韦-玻耳兹曼分布律的影响

在本文中,分别推导了低速情形（E≈m0c^2＋p^2/2m0）和一般情形（E=√p^2c^2＋m0^2c^4）下考虑相对论修正的动量分布表达式和速率分布表达式,发现低速情形下修正后的动量分布形式与不考虑修正的动量分布在形式上一致,而速率分布形式发生了改变;对一般情形的动量分布函数和速率分布函数进行了数值模拟并对结果进行了必要讨论．我们发现当β减少时整个动量分布曲线向大动量区域延伸,当β较大,即温度较低使得p〈1时,一般情形将近似为低速情形．     

玻耳兹曼分布律及其应用

本文介绍了玻耳兹曼分布律在力学、电学、光学、生物学等各方面的应用。     

谈狭义相对论时空理论教学——大学物理课程讲授狭义相对论之我见

依据狭义相对论基本原理和物理事例,导出钟慢、尺缩效应和同时相对性,再以此为据导出洛伦兹变换.     

大学物理教学中的相对论质量浅议

分析了大学物理教材中相对论质量公式推导部分容易引起学生误解的核心:质量守恒关系式.通过引入二维运动给出了更合理的推导过程.     

相对论条件下的麦克斯韦分布

本文自玻耳兹曼分布入手，对相对论粒子的麦克斯韦分布作了若干探讨，并由此过渡到非相对论与极端相对论情形．     

狭义相对论中事件概念的教学

论述了事件概念的含义及准确理解事件在洛伦兹变换和相对论时空理论（运动时钟延缓、运动尺寸缩短等）教学中的作用．     

狭义相对论中的牛顿第三定律

以一常见的错误为例，就狭义相对论中牛顿第三定律是否成立进行分析。     

分子振动能级的相对论修正

本文借助于Lindstedt-Poincare方法求解了振子所相应的Klein-Gordon方程,从而得到了分子振动能级的相对论修正。并举例说明了此修正的意义.     

空域与非定域的玻耳兹曼分布

对分别适用于定域与非定域系的两种玻耳兹曼分布，从推导和热力学公式等方面作了区分．     

定域与非定域的玻耳兹曼分布

对分别适用于定域与非定域系的两种玻耳兹曼分布，从推导和热力学公式等方面作了区分。     

On Relativistic Collisional Invariants

Two simple proofs of the result that a relativistic summational invariant is a linear combination of the momentum four-vector p are given by assuming that is a continuous and differentiable function of class C ². The results can be extended to the case when is just assumed to be a generalized function.     

Trend to Equilibrium of a Degenerate Relativistic Gas

We examine the problem of the trend to equilibrium for a relativistic gas which may follow Fermi–Dirac, Bose–Einsten, classical Boltzmann statistics. We use the relativistic version of the quasiclassical Boltzmann equation for fermions and bosons, the Uehling–Uhlenbeck equation.     

Thermodynamics of noncommutative geometry inspired black holes based on Maxwell-Boltzmann smeared mass distribution

In order to further explore the effects of non-Gaussian smeared mass distribution on the thermodynamical properties of noncommutative black holes, we consider noncommutative black holes based on Maxwell-Boltzmann smeared mass distribution in (2+1)-dimensional spacetime. The thermodynamical properties of the black holes are investigated, including Hawking temperature, heat capacity, entropy and free energy. We find that multiple black holes with the same temperature do not exist, while there exists a possible decay of the noncommutative black hole based on Maxwell-Boltzmann smeared mass distribution into the rotating (commutative) BTZ black hole.     

再谈洛伦兹变换的推导

评论了仅仅依据光速不变假设和相对性原理推导洛伦兹变换公式的方法.     

One-Dimensional Relativistic Dissipative System with Constant Force and its Quantization

For a relativistic particle under a constant force and a linear velocity dissipation force, a constant of motion is found. Problems are shown for getting the Hamiltonian of this system. Thus, the quantization of this system is carried out through the constant of motion and using the quantization on the velocity variable. The dissipative relativistic quantum bouncer is outlined within this quantization approach. PACS: 03.30.+p, 03.65.−w, 45.05.+x, 45.20Jj     

Equilibrium distribution function of a relativistic dilute perfect gas

An alternative to the Jüttner distribution has been recently proposed by several authors. The literature on the topic is reviewed critically. It is found that the Jüttner distribution is correct and that the alternative distribution contradicts quantum field theory, statistical physics and continuum mechanics.     

理想气体压强公式的一种推导方法

本文从球形容器中理想气体入手，用一种简单易懂且不失一般性的方法，推导出理想气体压强公式。     

An Analytical Treatment of the Clock Paradox in the Framework of the Special and General Theories of Relativity

No Heading In this paper we treat the so called clock paradox in an analytical way by assuming that a constant and uniform force F of finite magnitude acts continuously on the moving clock along the direction of its motion assumed to be rectilinear (in space). No inertial motion steps are considered. The rest clock is denoted as (1), the to and fro moving clock is (2), the inertial frame in which (1) is at rest in its origin and (2) is seen moving is I and, finally, the accelerated frame in which (2) is at rest in its origin and (1) moves forward and backward is A. We deal with the following questions: (1) What is the effect of the finite force acting on (2) on the proper time interval ⁽²⁾ measured by the two clocks when they reunite? Does a differential aging between the two clocks occur, as it happens when inertial motion and infinite values of the accelerating force is considered? The special theory of relativity is used in order to describe the hyperbolic (in spacetime) motion of (2) in the frame I. (II) Is this effect an absolute one, i.e., does the accelerated observer A comoving with (2) obtain the same results as that obtained by the observer in I, both qualitatively and quantitatively, as it is expected? We use the general theory of relativity in order to answer this question. It turns out that _I = _A for both the clocks, ⁽²⁾ does depend on g = F/m, and = ⁽²⁾/⁽¹⁾ = (1 – ²atanhj)/ < 1. In it ; = V/c and V is the velocity acquired by (2) when the force is inverted.     

Relativistic distribution function for particles with spin at local thermodynamical equilibrium

We present an extension of relativistic single-particle distribution function for weakly interacting particles at local thermodynamical equilibrium including spin degrees of freedom, for massive spin 1/2 particles. We infer, on the basis of the global equilibrium case, that at local thermodynamical equilibrium particles acquire a net polarization proportional to the vorticity of the inverse temperature four-vector field. The obtained formula for polarization also implies that a steady gradient of temperature entails a polarization orthogonal to particle momentum. The single-particle distribution function in momentum space extends the so-called Cooper–Frye formula to particles with spin 1/2 and allows us to predict their polarization in relativistic heavy ion collisions at the freeze-out.