摘要
太阳系的Titius-Bode定则可以发展为r_n=an^2,令α_1=0.042,n=3,4,5,6是类地行星;令α_2=1.2,n=2,3,4,5,6是类木行星。此时海王星、冥王星都是规则的,且适用于大多数卫星。由此可以完全类比于玻尔原子模型,并得出太阳系量子常数H=(αGM_⊙)^(1/2)和天体薛定谔方程。这样距离规则是行星演化时统计性的结果,宇宙中应普遍存在波粒二象性和形式相似而量子常数各不相同的泛量子理论。
The Titius-Bode law may be developed to rn = an2. Let a1 = 0. 042, n = 3, 4, 5, 6 are the terrestrial planets, and n=7, 8 are asteroids; let a2=l.2, n = 2, 3, 4, 5, 6 are the Jovian planets. In this case Neptune and Pluto are regular, and so are mostly satellites. From this it may be developed on the analogy of the Bohr atom model, and we obtain the quantum constants H=(aGM )1/2 of the solar system, where H1 = 9.1317 × 1014 m2 / s for the terrestrial planets and H2 = 4.8811 × 1015 m2 / s for the Jovian planets. Therefore, the orbital radii and angular momentum densities, the average velocities and the revolution periods, etc. , of planets are quantized, and agree approximately with the known data. Then the astronomical Schrodinger equation iH(?)ψ(?)t=-1/2H2△ψ+(U-Q)ψ is derived, so the distance rule is a statistical result of the planet evolution. Since in the universe various soliton waves and stochastics, etc. , exist widely, there should have the cosmic duality, the cosmic quantum theory and the extensive quantum theory in which the quantum constants are different and the formulations are similar each other.
出处
《云南大学学报（自然科学版）》
CAS
CSCD
1993年第4期297-303,共7页
Journal of Yunnan University(Natural Sciences Edition)
基金
云南省科委科学基金
关键词
太阳系
量子理论
T-B定则
solar system, Bohr atom model, quantum constant, Schrodinger equa-tion, quantum theory
