Study on Systems of Hydrogen Atoms in the View Point of Natural Statistical Physics

In this paper, we study the derivation and the solution of Schrodinger equation of the hydrogen atoms using the theory of Natural Statistical Physics. Using these results, we study the phenomena of the spectra of hydrogen atoms and the phenomena of the stability of hydrogen atoms.
Here we consider the system of hydrogen atoms for which we need not to consider the in uence of the outer electro-magnetic eld. This is the case where there is no in uence of outer electro-magnetic eld or where we can neglect the in uence of the outer electro-magnetic eld. In this paper, we succeeded in deriving the Schrodinger equation in the natural and reasonable way by the method of variational calculus. Thereby we can obtain the complete understanding of the phenomena of the spectra of hydrogen atoms and the phenomena of the stability of hydrogen atoms.
We remark that the model of the system of hydrogen atoms considered in this paper does not concern with the scattering state of hydrogen atoms.
In this paper, Fourier's method plays the fundamental role. For the results of this paper, we refer to Ito[16], [19], [20], [22], [24], [25], [26].

2010 Mathematics Subject Classi cation. Primary 82D99, 82B99, 81Q99.