Abstract
The resolution of our wave equation for electron + neutrino is made in the case of the H atom. From two non-classical potentials, we get chiral solutions with the same set of quantum numbers and the same energy levels as those coming from the Dirac equation for the lone electron. These chiral solutions are available for each electronic state in any atom. We discuss the implications of these new potentials.
Highlights
The resolution of the Schrödinger equation in the case of the hydrogen atom has given the reason of the quantization of the energy levels in atoms
Since the quantification is implied by this resolution, we have the same quantification for our wave equation of electron + neutrino with the only condition (14) on the potentials created by the proton
Solutions with a nonzero neutrino wave are chiral since the neutrino has only a left wave
Summary
The resolution of the Schrödinger equation in the case of the hydrogen atom has given the reason of the quantization of the energy levels in atoms. We previously have obtained a wave equation for a pair electron + neutrino [3] and we have generalized this equation as a wave equation for all objects of the first generation, electron, neutrino, quarks u and d with three states of color each, and their antiparticles [4]. Group of invertible elements in the Clifford algebra of space Cl3 It has a mass term and it is gauge. If the quark part is canceled, the wave is reduced to the electron + neutrino case, gauge invariant under the U (1)× SU (2) group of electro-weak interactions. Since the wave equation has not lost its mass term, it is easy to account for inertia and gravitation [9]
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