An Energy Level with Principal Quantum Number n=0 Exists in a Hydrogen Atom

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Research ID 06BAE

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Abstract

The classical quantum theory of Bohr does not take the theory of relativity into account. The energy levels of a hydrogen atom, derived by Bohr, are known to be approximations. In this paper, the kinetic energy and momentum of an electron in a hydrogen atom are treated relativistically. This paper predicts the existence of an n=0 energy level present in a hydrogen atom. However, the state where n=0 is not an energy level of the electron comprising the hydrogen atom. It is thought that an electron in the n=0 state forms a pair with a positron, and constitutes the vacuum inside the hydrogen atom.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

Not applicable

Data Availability

The datasets used in this study are openly available at [repository link] and the source code is available on GitHub at [GitHub link].

Funding

This work did not receive any external funding.

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  • Classification

    DDC Code: 333.794 LCC Code: TP359.H8

  • Version of record

    v1.0

  • Issue date

    20 February 2023

  • Language

    English

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