The Two Types of Waves Involved in an Electron in a Hydrogen Atom
compton wavelength, de broglie's formula, einstein's energy-momentum relationship, energy-momentum relationship in a hydrogen atom, fine structure constant, momentum of a electron, momentum of a photon
Abstract
Einstein's energy-momentum relationship, holds when the energy absorbed by a body is all converted to kinetic energy of that body. However, an electron in an atom acquires kinetic energy through emission of photon energy. Therefore, Einstein's relationship cannot be applied to an bound electron in an atom. The author has already derived an energy-momentum relationship for an electron in a hydrogen atom. This paper incorporates de Broglie's formula into the above relationship previously derived by the author. Also, if the momentum of an electron in a hydrogen atom is considered using an ellipse, it can be predicted that the electron has two types of momentum and two types of waves. This paper concludes that a moving electron has two types of waves.
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Bohr (1913) On the Constitution of Atoms and Molecules. 26(1), 1-25. https://doi.org/10.1080/14786441308634955
Randolf (2010) Size of the Proton. 466, 213-216.
Suto (2011) An Energy-Momentum Relationship for a Bound Electron Inside a Hydrogen Atom. 24(2), 301-307. https://doi.org/10.4006/1.3583810
Suto (2018) Derivation of a Relativistic Wave Equation More Profound than Dirac's Relativistic Wave Equation. 10(6), 102-108. https://doi.org/10.5539/apr.v10n6p102
Suto (2020) Theoretical Prediction of Negative Energy Specific to the Electron. 11(05), 712-724. https://doi.org/10.4236/jmp.2020.115046
Suto (2023) Previously Unknown Formulas for the Relativistic Kinetic Energy of an Electron in a Hydrogen Atom. 11(04), 972-987. https://doi.org/10.4236/jamp.2023.114065
Suto (2024) The Strange Relationship Between the Momentum of a Photon Emitted from an Electron and the Momentum Acquired by the Electron. 12(07), 2652-2664. https://doi.org/10.4236/jamp.2024.127157
Suto (2025) The Photon Energy of an Electron with Rest Mass Energy of $m_{text{e}} c^2$ is $2 m_{text{e}} c^2$. 17(1), 44-56. https://doi.org/10.5539/apr.v17n1p44
Einstein (1961) Relativity. 43.
Sommerfeld (1923) Atomic Structure and Spectral Lines. 528.
Suto (2023) Electron Mass in an Atom Is Less than Rest Mass. 11, 3953-3961. https://doi.org/10.4236/jamp.2023.1112252
Suto (2019) The Relationship Enfolded in Bohr's Quantum Condition and a Previously Unknown Formula for Kinetic Energy. 11(1), 19-34. https://doi.org/10.5539/apr.v11n1p19
Suto (2021) The Quantum Condition That Should Have Been Assumed by Bohr When Deriving the Energy Levels of a Hydrogen Atom. 9(06), 1230-1244. https://doi.org/10.4236/jamp.2021.96084
Suto (2023) An Energy Level with Principal Quantum Number emph{n}=0 Exists in a Hydrogen Atom. 23(2), 65-79. https://doi.org/10.34257/ljrsvol23is2pg65
Suto (2020) The Planck Constant Was Not a Universal Constant. 8(03), 456-463. https://doi.org/10.4236/jamp.2020.83035
Suto (2026) Energy-Momentum Relationship Applicable to an Electron inside a Hydrogen Atom. 26, 1-5. https://doi.org/10.34257/GJSFRA258904
Suto (2017) Elucidating the Nature of the Fine Structure Constant and Indicating the Existence of an Unknown Angular Momentum. 9(3), 17-22. https://doi.org/10.5539/apr.v9n3p17
Suto (2022) A Surprising Physical Quantity Involved in the Phase Velocity and Energy Levels of the Electron in a Hydrogen Atom. 14(2), 1-17. https://doi.org/10.5539/apr.v14n2p1
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2026-09-23
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