[2 offprints, including:] The Self-Stress of the Electron.
1950·[College Park, MD]:
by ROHRLICH, Fritz (b. 1921).
[College Park, MD]:: The Physical Review, 1950., 1950. 2 offprints. Original wrappers. Very good. Rohrlich was an American theoretical physicist whose work focuses on both classical and quantum electrodynamics. INVENTORY: 1. ROHRLICH, Fritz. The Self-Stress of the Electron. Offprint from: The Physical Review, Vol. 77, No. 3, pp. 357-360, February 1, 1950. [Abstract: The diagonal elements of the symmetrical energy-momentum tensor density of an electron at rest are calculated. The covariant formalism of Tomonaga, Schwinger, Feynman, and Dyson is used, and it is shown that it is necessary to use a relativistic cut-off in addition to the covariant separation of the infinite renormalizations. Therefore "formalistic regulators" are used in the form of additional neutral vector fields. The integrations are carried out with the Feynman method. The resultant vanishing value for the self-stress constitutes a proof of the consistency of the relativistic formalism. It is also shown how the Feynman-Dyson method can be used for the calculation of expectation values of operators, of which the self-stress calculation constitutes an example.] 2. ROHRLICH, Fritz. Self-Energy and Stability of the Classical Electron. Offprint from: American Journal of Physics, Vol. 28, No. 7, pp. 639-643, October, 1960. INSCRIBED TO ABRAHAM PAIS FROM THE AUTHOR: "To Bram with best regards Fritz". [Abstract: The classical theory of the electron, as proposed by Abraham and Lorentz, is usually presented as beset by the difficulty that the momentum and velocity of its Coulomb field are incorrectly related kinematically: p?=?43msv, where ms is the electromagnetic mass defined by the electromagnetic self-energy. This problem also persists in the relativistic theory. It is shown here that the difficulty is eliminated from the relativistic theory by treating the integrals over the electromagnetic field in a relativistic fashion, i.e., taking note of their dependence on the motion of the electron. The surface dependence of the integrals representing the electromagnetic momentum and energy of the particle is essential and occurs whenever the matter tensor is not introduced. The nonrelativistic limit of this formulation then also leads to the correct relationship p?=?msv. The corrected Abraham-Lorentz theory still contains the stability problem, but this problem is no longer related to the transformation properties. It can be removed by renormalization.] (Inventory #: S13366)
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