On the invariant form of the wave and motion equations for a charged point mass

The Schrödinger wave-equation and the equations of motion are written as an invariant Laplace equation and the equation of a geodesic in five-dimensional space respectively. The superfluous fifth coordinate is closely related to the linear differential form of the electromagnetic potential.

PACS: 01.65.+g, 04.20.−q, 11.15.−q (all)
DOI: 10.3367/UFNe.0180.201008h.0874
URL: https://ufn.ru/en/articles/2010/8/h/
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000284266400008
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2010PhyU...53..839F
Citation: Fock V A "On the invariant form of the wave and motion equations for a charged point mass" Phys. Usp. 53 839–841 (2010)

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Оригинал: Фок В А «Об инвариантной форме волновых уравнений и уравнений движения заряженной точечной массы» УФН 180 874–877 (2010); DOI: 10.3367/UFNr.0180.201008h.0874

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L.B. Okun “V A Fock and gauge symmetry” 53 835–837 (2010)
K. Barley, J. Vega-Guzmán et al “Discovery of the relativistic Schrödinger equation” 65 90–103 (2022)
F. Dyson “Birds and frogs in mathematics and physics” 53 825–834 (2010)
V.P. Vizgin “On the discovery of the gravitational field equations by Einstein and Hilbert: new materials” 44 1283–1298 (2001)
P.A.M. Dirac “The relativistic electron wave equation” 22 648–653 (1979)
P. Higgs “Prehistory of the Higgs boson” 58 (10) (2015)
G.B. Malykin “Earlier studies of the Sagnac effect” 40 317–321 (1997)
D.E. Burlankov “Gravity and absolute space. The works of Niels Bjern (1865-1909)” 47 833–844 (2004)
G.B. Malykin, S.A. Kharlamov “Topological phase in classical mechanics” 46 957–965 (2003)
A.A. Logunov, M.A. Mestvirishvili, V.A. Petrov “How were the Hilbert-Einstein equations discovered?” 47 607–621 (2004)
D.I. Trubetskov, G.M. Vdovina “Traveling wave tubes: a history of people and fates” 63 503–515 (2020)
B.B. Kadomtsev, V.I. Kogan et al “On the fiftieth anniversary of the paper by M. A. Leontovich and L. I. Mandel’shtam (’On the theory of the Schrödinger equation’)” 21 272–273 (1978)
A. Sommerfeld “On the addition of velocities in the theory of relativity” 53 929–931 (2010)
V.P. Milant’ev “Cyclotron autoresonance — 50 years since discovery” 56 823–832 (2013)
I.L. Fabelinskii “The discovery of combination scattering of light in Russia and India” 46 1105–1112 (2003)
O.G. Bakunin “Mysteries of diffusion and labyrinths of destiny” 46 309–313 (2003)
V.D. Shafranov “The initial period in the history of nuclear fusion research at the Kurchatov Institute” 44 835–843 (2001)
A.Ya. Gokhshtein “Electrolysis and surface phenomena. To the bicentenary of Volta’s publication on the first direct-current source” 43 725–750 (2000)
P.P. Lazarev “Historical essay on the 200 years of the development of natural sciences in Russia” 42 1247–1257 (1999)
I.L. Fabelinskii “Seventy years of combination (Raman) scattering” 41 1229–1247 (1998)

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