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.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.

Sep 1, 20120 citations

Trapped Atomic Hydrogen

Daniel Kleppner

Springer eBooksJan 1, 19896 citations

Investigations of the hydrogen atom

Yurii L. Sokolov

Uspekhi Fizicheskih NaukJan 1, 19900 citations

Stabilization of Atomic Hydrogen at Low Temperature

Isaac F. Silvera, Jook T. M. Walraven

Atomic hydrogen has been stabilized at temperatures of 270\ifmmode\pm\else\textpm\fi{}20 mK and in magnetic fields up to 7 T. It is believed to be gaseous. A sample displayed no measurable decrease in density after 532 sec. Covering of exposed surfaces with a film of $^{4}\mathrm{He}$ is essential.Atomic hydrogen has been stabilized at temperatures of 270\ifmmode\pm\else\textpm\fi{}20 mK and in magnetic fields up to 7 T. It is believed to be gaseous. A sample displayed no measurable decrease in density after 532 sec. Covering of exposed surfaces with a film of $^{4}\mathrm{He}$ is essential.

Physical Review LettersJan 21, 1980236 citations

^{4}\mathrm{He}

is essential.