A new development of modified quantum mechanics

TL;DR

This paper introduces a modified quantum mechanics framework with new algorithms for atomic fine-structure calculations, demonstrating improved accuracy over existing methods through numerical experiments on second-period atoms.

Contribution

It presents a novel modified quantum mechanics and an asymmetric variational method based on hydrogen-like orbitals, achieving higher accuracy in atomic fine-structure calculations.

Findings

Calculation accuracy surpasses relativistic Hartree-Fock method

Numerical experiments on second-period atoms validate the approach

Closer agreement with experimental data

Abstract

Here, we propose a new modified quantum mechanics and its new algorithms of atomic fine-structure,asymmetric variational method based on hydrogen-like atom orbit. In addition, as we all know, the ab initio calculation of atomic fine-structure is the first driving force to create relativistic quantum mechanics, so every new development of it is an interesting and important hot topic. But we will not try to prove (or refute) strictly, because there is no analytical solution to the multi-body Schrodinger equation and the magnetic potential integral of ampere force of Langevin, so we use our method to calculate the atom fine-structure of within the second period, and prove that our calculation is closer to the experimental observation value through this numerical experiment method (Our calculation accuracy is better than those of relativistic Hartree-Fock method). Therefore, our discussion is a positive exploration and conjecture.