## Astrophysics   ## Sunqm-3s11: Using {N,n} QM’s Probability Density 3D Map to Build a Complete Solar System with Time-Dependent Orbital Movement (Semi-QM Deduction)

Authors: Yi Cao

Combining the results from the previous SunQM series papers, a (high resolution) 3D probability density map has been constructed and it is able to describe the whole Solar system with time-dependent orbital movement. It is the Eigen description of our Solar system using Schrodinger equation’s solution. In it, the Eigen n’ values of all planet have been calculated. These Eigen n’ values give both the orbital r and the surface r information for each planet. The result revealed that for all planets, their Eigen n’ values in all three dimensions are equal. For example, for a planet at orbit {1,5//6} (in the Solar {N,n//6} QM structure), if it has Eigen n’ = n*q^w = 5*6^11 = 1.81E+9 in each of rθφ-3D dimension, then it will have an orbital r = 1.57E+11 m, and surface r = 7.89E+6 m. This is very close to Earth’s orbital r = 1.49E+11 m and surface r = 6.38E+6 m. For Asteroid belt and the cold-KBO, their Eigen n’(s) in the r- and θ-dimension are equal. For example, Asteroid belt’s Eigen n’ = 48 in both r- and θ-dimension. In the current paper, although the r- and θ-dimension’s probability densities were deduced with the full-QM, the φ-dimension’s probability density was deduced with only semi-QM (for the purpose to follow the traditional QM’s rule). A full-QM deduced φ-dimension’s probability density will be given in SunQM-4s1 (where some traditional QM’s rules are modified). Because {N,n//6} QM structure covers from quark at {-17,1//6} to the Virgo super cluster at {10,1//6} with good consistency, and Schrodinger equation/solution can accurately describe the Solar system from {-2,1//6} to {5,1//6}, we believe that either the whole universe or a single quark can be described by Schrodinger equation and solution. Several (lower resolution) 3D probability density maps (also based on Schrodinger equation’s solution) for the whole Solar system have also been successfully built. A summary of the major results from the phase-1 of the SunQM series studies has been listed.