Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Energy and Probability Density Computation for Muonic Hydrogen

Version 1 : Received: 19 May 2023 / Approved: 22 May 2023 / Online: 22 May 2023 (02:42:45 CEST)

How to cite: S., A.; P. Hegde, S. Energy and Probability Density Computation for Muonic Hydrogen. Preprints 2023, 2023051453. https://doi.org/10.20944/preprints202305.1453.v1 S., A.; P. Hegde, S. Energy and Probability Density Computation for Muonic Hydrogen. Preprints 2023, 2023051453. https://doi.org/10.20944/preprints202305.1453.v1

Abstract

This paper discusses about the quantum energy levels of muonic hydrogen considering only Coulomb interaction. The computational analysis in this paper will help the reader get a good understanding of how different a muonic hydrogen is from its electronic counterparts. Energy eigenvalues are calculated by numerical method and the probability density distribution of muon around the nucleus is plotted for different quantum states using special functions. The code is written in python. A comparative study of emission spectra between the muonic hydrogen and hydrogen has also been discussed.

Keywords

Muonic hydrogen; energy eigenvalues; probability density distribution; hydrogen spectra; programming

Subject

Physical Sciences, Atomic and Molecular Physics

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