Absence of runaways and divergent self-mass in nonrelativistic quantum electrodynamics
- 15 August 1974
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 10 (4) , 1133-1136
- https://doi.org/10.1103/physrevd.10.1133
Abstract
We derive the quantum-mechanical operator equation of motion for a point electron and show that (i) the electrostatic self-mass of a point electron is zero in quantum mechanics; (ii) the equation of motion does not admit runaway solutions; (iii) the correspondence limit of the solutions of the quantum-mechanical equation likewise does not display runaways; and (iv) the solutions do not violate the principle of causality in quantum mechanics.Keywords
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