The stochastic mechanics of the ground-state of the hydrogen atom

M. I. Chibisov

YU Chang-feng

According to the prophesy made by quantum mechanics that the angular momentum of ground state hydrogen atom is zero,in the paper,the ground state hydrogen atom is treated as a one-dimensional classical oscillator,and by using a potential function with phase factors and repulse force,the ground state energy of the hydrogen atom as well as an analytic expression of the vibrational orbit of electron are given.

Hermann Haken, Hans Christoph Wolf

Theo M. Nieuwenhuizen

The hydrogen ground state problem is a touchstone for the theory of Stochastic Electrodynamics. Recently, we have shown numerically and theoretically that the H-atom self-ionizes after a characteristic time. In another approach we reconsidered the harmonic oscillator and renormalized the stochastic force in order to suppress high-frequency tails so that all frequency integrals are dominated by the physical resonances. In the present work we consider the regularization of the noise in the hydrogen ground state problem. Several renormalization schemes are considered. Some are well behaved, while in other ones, the high frequency renormalization induces pathologies at low frequencies. In no situation we find a way to escape from the previously signaled self-ionization.

Hermann Haken, Hans Christoph Wolf

Hermann Haken, Hans Christoph Wolf