同一粒子动能的变换方程：填补了狭义相对论文献的空白
Transformation equations for the kinetic energy of the same particle: Filling the gap in special relativity literature
摘要：
在经典和狭义相对论的限制下，导出了慢子动能的变换方程。给出了两个计算公式。在第一个中，粒子在所涉及的参考系之一中的能量被表示为它的固有能量、两个参考系的相对速度以及它在第二个参考系中的速度的函数。在第二种情况下，在所涉及的参考系之一中的动能表示为在第二种情况下其固有能量、所涉及的惯性参考系的相对速度以及其相对于该参考系的速度的动能的函数。将所得结果推广到光子在相同几何条件下运动的情形，恢复了考虑相对论性多普勒效应的公式，说明了变换方程在考虑电子和光子性质时的行为.
英文摘要：
Transformation equations for the kinetic energy of a tardyon are derived in the limits of classical and of special relativity theory. Two formulas are presented. In the first one the energy of the particle in one of the involved reference frames is presented as a function of its proper energy, of the relative velocity of the two frames and of its speed in the second one. In the second one the kinetic energy in one of the involved reference frames is expressed as a function of its kinetic energy in the second one of its proper energy, of the relative velocity of the involved inertial reference frames and of its velocity relative to that frame. The obtained results are extended to the case of a photon that moves under the same geometrical conditions, recovering the formulas that account for the relativistic Doppler Effect, illustrating the behavior of a transformation equation when it should account for the properties of an electron and for those of a photon as well.
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