行星系统中的类德布罗意波
A De Broglie-Like Wave in the Planetary Systems
摘要：
在这项工作中，我们做了一个“插值”的Scardigli理论的量子描述的行星系统，再现显着的提丢斯-波德-理查森规则。更确切地说，我们最初提出的行星系统的描述是半精确的，类似德布罗意的，而不是简单的、近似的、类似玻尔的理论，或者精确的、类似薛$\ddot{o}$丁格的理论。特别地，我们将提出行星系统中的德布罗意波。更确切地说，为了区别于斯卡迪格利（Scardigly）（他假定在行星轨道上不存在干涉现象），我们将证明，粗略地说，行星轨道等于两类德布罗意波的自然数之和，大的和小的。这与原子物理学中著名的用德布罗意关系解释玻尔动量量子化假设的情况相似。
英文摘要：
In this work we do an "interpolation" of Scardigli theory of a quantum-like description of the planetary system that reproduces remarkable Titius-Bode-Richardson rule. More precisely, instead of simple, approximate, Bohr-like theory, or, accurate, Schr$\ddot{o}$dinger-like theory, considered by Scardigli, we suggest originally a semi-accurate, de Broglie-like description of the planetary system. Especially, we shall propose a de Broglie-like waves in the planetary systems. More precisely, in distinction from Scardigly (which postulated absence of the interference phenomena at planet orbits) we shall prove that, roughly speaking, planets orbits equal a sum of natural numbers of two types, large and small, of the de-Broglie-like waves. It is similar to well-known situation in atomic physics by interpretation of Bohr momentum quantization postulate by de Broglie relation.
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