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

References (5) Cited by (5) Similar articles (20) ↓

L.B. Okun “V A Fock and gauge symmetry” Phys. Usp. 53 835–837 (2010)
F. Dyson “Birds and frogs in mathematics and physics” Phys. Usp. 53 825–834 (2010)
K. Barley, Vega-Guzmán Jose et al “Discovery of the relativistic Schrödinger equation” Phys. Usp. 65 90–103 (2022)
P.A.M. Dirac “The relativistic electron wave equation” Sov. Phys. Usp. 22 648–653 (1979)
V.P. Vizgin “On the discovery of the gravitational field equations by Einstein and Hilbert: new materials” Phys. Usp. 44 1283–1298 (2001)
D.E. Burlankov “Gravity and absolute space. The works of Niels Bjern (1865-1909)” Phys. Usp. 47 833–844 (2004)
I.L. Fabelinskii “The discovery of combination scattering of light in Russia and India” Phys. Usp. 46 1105–1112 (2003)
I.L. Fabelinskii “Seventy years of combination (Raman) scattering” Phys. Usp. 41 1229–1247 (1998)
P. Higgs “Prehistory of the Higgs boson” Phys. Usp. 58 (10) (2015)
G.B. Malykin “Earlier studies of the Sagnac effect” Phys. Usp. 40 317–321 (1997)
V.P. Milant’ev “Creation and development of Bohr’s theory (on the 90th anniversary of the Bohr theory of the atom)” Phys. Usp. 47 197–203 (2004)
G.B. Malykin, S.A. Kharlamov “Topological phase in classical mechanics” Phys. Usp. 46 957–965 (2003)
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’)” Sov. Phys. Usp. 21 272–273 (1978)
K. Barley, A. Ruffing, S.K. Suslov “Old quantum mechanics by Bohr and Sommerfeld from modern perspective” Phys. Usp. 69 74–93 (2026)
A.A. Logunov, M.A. Mestvirishvili, V.A. Petrov “How were the Hilbert-Einstein equations discovered?” Phys. Usp. 47 607–621 (2004)
I.L. Fabelinskii “The prediction and discovery of Rayleigh line fine structure” Phys. Usp. 43 89–103 (2000)
O.V. Ovchinnikov, A.N. Latyshev, M.S. Smirnov “On the centenary of the discovery of submillimeter electromagnetic waves” Phys. Usp. 67 950–958 (2024)
I.A. Shcherbakov “Development history of the laser” Phys. Usp. 54 65–71 (2011)
A.G. Lanin, I.I. Fedik “Selecting and using materials for a nuclear rocket engine reactor” Phys. Usp. 54 305–318 (2011)
G.I. Marchuk, V.S. Imshennik, M.M. Basko “The physics of a thermonuclear explosion of a normal-density liquefied deuterium sphere (On the impossibility of a spherically symmetric thermonuclear explosion in liquid deuterium at normal density)” Phys. Usp. 52 267–273 (2009)

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