Abstract

In a previously published paper, the author made some mistakes in calculating the potential energy of the electron in a hydrogen atom. Those mistakes occurred due to applying a potential energy formula with a certain range of application in a region where it is not applicable. Therefore, this paper corrects that error by deriving a formula for potential energy with no range of application. The paper also proposes a model in which a virtual particle pair present in the vacuum region inside a hydrogen atom simultaneously has a photon with positive energy and a photon with negative energy (In this paper, these photons are called dark photons). In the state where the relativistic energy is zero, the sum of the positive energy and negative energy of the virtual particle pair becomes zero. According to this model, this makes it possible for the particles to release photons, and capture negative energy.

Highlights

  • One of the most important relationships in the Special Theory of Relativity (STR) is as follows:( ) ( ) m0c2 2 + p2c2 = mc2 2 . (1)Here, mc2 is the relativistic energy of an object or a particle, and m0c2 is the rest mass energy.Currently, Einstein’s relationship (1) is used to describe the energy and momentum of particles in free space, but for explaining the behavior of bound electrons inside atoms, opinion has shifted to quantum mechanics as represented by equations such as the Dirac’s relativistic wave equation.For reasons such as these, there was no search for a relationship between energy and momentum applicable to an electron in the hydrogen atom

  • Mc2 is the relativistic energy of an object or a particle, and m0c2 is the rest mass energy

  • 1) How does a virtual particle pair with Ere = 0 acquire negative energy? This paper examines two interpretations

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Summary

Introduction

One of the most important relationships in the Special Theory of Relativity (STR) is as follows:. Einstein’s relationship (1) is used to describe the energy and momentum of particles in free space, but for explaining the behavior of bound electrons inside atoms, opinion has shifted to quantum mechanics as represented by equations such as the Dirac’s relativistic wave equation. For reasons such as these, there was no search for a relationship between energy and momentum applicable to an electron in the hydrogen atom.

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