On the problem of the "Schrödinger atom"

Jochen Pade

祐二 佐々井

Solving the Schrödinger equation in quantum mechanics is not easy. In this research report, we would like to solve the Schrödinger equation concretely for the energy eigenvalue problem of the hydrogen atom. To help Kosen students understand this problem, we explain general solutions from the calculation of concrete solutions. We also explain the relationship between the principal quantum number n, the azimuthal quantum number l, the magnetic quantum number m, and the spin quantum number s.

Wan‐Chung Hu

The most accepted atom model currently was proposed by Dr. Bohr and by Dr. Schrodinger and Dr. Dirac subsequently12. However, many phenomenon cannot be explained by Bohr’s atom model. He used Coulomb electric force as the centripetal force to explain the rotation of electrons around nucleus. Another very important basic forces, magnetic force and frame-dragging force (spinity), were neglected and not included in his atom model. In Schrodinger’s atom model, there are problems limiting the formation of correct atom model such as principle of uncertainty, Schrodinger’s cat, and EPR paradox345. In this study, a new determinative atom model is proposed to explain atomic phenomenon and to solve above puzzles.

Suresh Chandra Tiwari

Jochen Pade

Konstantin Eduardovich Plokhotnikov

Abstract The paper considers the method of the numerical solution of the Schrodinger equation, which can partly be attributed to the class of Monte Carlo methods. The method is presented and simultaneously illustrated by the examples of solving the one-dimensional and multidimensional Schrodinger equation in the problems of a linear one-dimensional oscillator, hydrogen atom, and benzene atom.