arXiv quant-ph/99030771999-03quant-phmath-phmath.MP

相对论粒子的运动与真空

Motion of a Relativistic Particle and the Vacuum

Volodymyr Krasnoholovets

备注：: 19 pages, LaTeX 2e, 2 figures (PostScript files)
发表信息：: Physics Essays, vol. 10, no. 3, pp. 407-416 (1997)

摘要：

提出了真空介质模型。讨论了相对论性粒子与介质相互作用的运动。据预测，真空的基本激发，称为“惯性子”，应该存在。导出了欧氏空间中质点轨迹方程。该运动由量子力学的基本关系：$E=hν$和$Mv = h/ λ$（这里，$λ$是粒子沿着轨迹的空间振荡的幅度，即，粒子速度周期性地从$v$改变到0，然后从0改变到$v$的间隔; $ν$是这些振荡的频率）。分析上的过渡到波动力学，其中$λ$表现为德布罗意波长和$ν$是独特的频率的“粒子波”。波的解决方案是洛伦兹不变的一个先决条件进行处理。一个合理的相对论粒子运动的流体动力学描述的假设。

英文摘要：

A vacuum medium model is advanced. The motion of a relativistic particle in relation to its interaction with the medium is discussed. It is predicted that elementary excitations of the vacuum, called "inertons," should exist. The equations of the particle path in Euclidean space are derived. The motion is marked by the relations basic for quantum mechanics: $E=hν$ and $Mv = h/ λ$ (here, $λ$ is the amplitude of spatial oscillations of the particle along the trajectory, i.e., the interval at which the velocity of the particle is periodically altered from $v$ to 0 and then from 0 to $v$; $ν$ is the frequency of these oscillations). Analysis is performed on the transition to wave mechanics where $λ$ manifests itself as the de Broglie wavelength and $ν$ is the distinctive frequency of the "particle-wave". A prerequisite for the wave solution to be Lorentz-invariant is treated. A hypothesis for a plausible hydrodynamic description of the relativistic particle motion is covered.

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