论文标题
经典力学与电磁主义之间的冲突：浴室平衡中的谐波振荡器
Conflict Between Classical Mechanics and Electromagnetism: The Harmonic Oscillator in Equilibrium with a Bath
论文作者
论文摘要
It is pointed out that an electric charge oscillating in a one-dimensional purely-harmonic potential is in detailed balance at its harmonics with a radiation bath whose energy $U_{rad}$ per normal mode is linear in frequency $ω$, $U_{rad}=const\timesω,$ and hence is Lorentz invariant, as seems appropriate for relativistic electromagnetism.振荡电荷与雷利 - 吉恩的光谱不均衡，该光谱由能量共享的设备思想产生，这些概念仅在非依赖主义力学中有效。在这里，我们探讨了与经典力学和电磁作用相关的谐波振荡器的对比行为。人们强调的是，现代物理文本表明雷利 - 吉恩的光谱对应于随机经典辐射的平衡光谱，并且忽略了Lorentz-Invariant经典的零点辐射，这确实是经典平衡光谱。
It is pointed out that an electric charge oscillating in a one-dimensional purely-harmonic potential is in detailed balance at its harmonics with a radiation bath whose energy $U_{rad}$ per normal mode is linear in frequency $ω$, $U_{rad}=const\timesω,$ and hence is Lorentz invariant, as seems appropriate for relativistic electromagnetism. The oscillating charge is NOT in equilibrium with the Rayleigh-Jeans spectrum which arises from energy-sharing equipartition ideas which are valid only in nonrelativistic mechanics. Here we explore the contrasting behavior of harmonic oscillators connected to baths in classical mechanics and electromagnetism. It is emphasized that modern physics text are in error in suggesting that the Rayleigh-Jeans spectrum corresponds to the equilibrium spectrum of random classical radiation, and in ignoring Lorentz-invariant classical zero-point radiation which is indeed a classical equilibrium spectrum.
