Previously Unknown Ultra-low Energy Level of the Hydrogen Atom Whose Existence can be Predicted

Koshun Suto

doi:10.5539/apr.v6n6p64

Abstract

This paper theoretically predicts that if the energy level of the hydrogen atom is expressed classically as E_n=-a^2m_ec^2/2n^2, then the energy level E_n=-2m_ec^2+a^2m_ec^2/2n^2 exists in the hydrogen atom. Triplet production is an experiment which strongly supports the existence of an electron at this extremely low energy level. However, an interpretation different from the conventional interpretation is needed in order to regard triplet production as evidence for the prediction in this paper. If an electron can exist at an unknown energy level, then it can be predicted that hydrogen atoms in this state will be a strong candidate for dark matter.

Highlights

Letting mc2 be the relativistic energy and p the momentum of an object or a particle existing in free space, Einstein’s energy-momentum relationship is given by the following equation: ( ) ( ) mc2 2 = p2c2 + m c2 0 (1)Here, m0c2 is the rest mass energy of an object or a particle.In contrast, the author has derived the following relationship for the bound electron in a hydrogen atom, which must take into account the Coulomb potential (Suto, 2011): ( ) E2 re,n + pn2c2 =
Triplet production is an experiment which strongly supports the existence of an electron at this extremely low energy level
If an electron can exist at an unknown energy level, it can be predicted that hydrogen atoms in this state will be a strong candidate for dark matter

Summary

Introduction

Letting mc be the relativistic energy and p the momentum of an object or a particle existing in free space, Einstein’s energy-momentum relationship is given by the following equation:. If Equation (26) is differentiated one more time, and it is assumed that this satisfies Equation (25), the following relationship is obtained: If this equation is written using the components of α, the result is as follows:. The following form can be predicted for a matrix with four rows and four columns satisfying these relationships: Using this matrix, the equation to be derived can be written as follows:. In the era of Dirac, it was thought that Equation (1) could be applied to an electron in free space, and that the following equation incorporating potential energy into Eq (24) could be applied to an electron in an atom. Equation (2) was derived based on this sort of logic

Theoretical Investigation

Experimental Support

Conclusion