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Might the difference between Schrödinger and Ruedenberg's local contributions to the kinetic energy represent elastic deformations of the electron?
Author(s) -
Jørgensen Chr. Klixbüll
Publication year - 1968
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560020106
Subject(s) - kinetic energy , electron , physics , negative energy , space (punctuation) , schrödinger's cat , classical mechanics , dirac (video compression format) , energy (signal processing) , schrödinger equation , quantum mechanics , quantum electrodynamics , atomic physics , linguistics , philosophy , neutrino
In Schrödinger's equation, the local contribution to the kinetic energy is sometimes negative, but it allows a conservative potential in contrast to an alternative, never negative, energy proposed by Ruedenberg. The total kinetic energy evaluated in certain characteristic volumes, and in all of space, is identical in the two cases. Dirac's suggestion in 1962 of a bubble‐surface representing the electron is applied in a far‐reaching, but incomplete, attempt to identify external kinetic energy with a first‐order relativistic effect and the internal energy constituting the difference between Schrödinger and Ruedenberg's proposals is related to oscillations of the surface.