Recoil Effect on Electron-Proton Forces and Inapplicability of Energy Law
Author(s) -
Gentaro Araki,
Sigeru Huzinaga
Publication year - 1951
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp/6.5.673
Subject(s) - physics , pauli exclusion principle , recoil , electron , photon , proton , quantum mechanics , atomic physics , quantum electrodynamics , unitary transformation , fermion , atom (system on chip) , hydrogen atom , quantum , computer science , embedded system , group (periodic table)
that this surplus term is due to the neglect of the recoil tffect and the discrepancy disappears when the interaction is derived correctly taking into account the effect of the electron and proton recoils according to the method of the unitary transformation. Further it has generally been known that the electron-proton interaction transmitted by photons takes the form which was previously derived by M\flller for the two-electron interaction if the conservation law is applied to the total energy of the two particles in the free state. In the present paper it is shown that the application of the energy law gives rise to an incorrect result in Case of hydrogen atom. According to M\flller's formula the interval between 22S1/ 2 and 2 9 P J /2 levels of the hydrrgen atom becomes too large. Its value amounts to 7273 Mcjs in contradiction to the Lamb-Retherford experiment. Therefore we arrive at the conclusion that the energy law can not be made use of in general when forces between Fermions in the bound states are derived.~
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