Abstract
In this paper, we explicitly point out the reasons why Special Relativity must be considered as the source of electron deep orbits, and dominates their behavior. We show that the cause is the quadratic form of the relativistic expression of energy, and this clearly appears when we explicitly develop the relativistic Schrödinger equation and compare it with the non-relativistic one.
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Notes
With \(L=l+1/2, s=-1/2-[L^{2}- {\gamma }^{2}]^{1/2} = -1/2 -L[1-~{\gamma }^{2}/L^{2}]^{1/2}\) ; as \({\gamma } \ll 1, s \quad \sim -1/2 -L[1-~{ \gamma }^{2}/2L^{2}] = -1/2 -L+{\gamma }^{2}/2L~ \) thus \(\lambda \sim \quad n^{\prime }-1/2-(l+1/2)+1+{ \gamma }^{2}/2(l+1/2) = n^{\prime }-l+{ \gamma }^{2}/2(l+1/2)\).
Values are calculated, but uncertainties are great. Therefore, the numbers are rounded for clarity, not for significance.
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Acknowledgements
This work is supported in part by HiPi Consulting, New Market, MD, USA; by the Science for Humanity Trust, Bangalore, India; and by the Science for Humanity Trust, Inc, Tucker, GA, USA.
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Paillet, J.L., Meulenberg, A. Special Relativity, the Source of Electron Deep Orbits. Found Phys 47, 256–264 (2017). https://doi.org/10.1007/s10701-016-0055-2
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DOI: https://doi.org/10.1007/s10701-016-0055-2