Accession Number:

AD0739163

Title:

The Ultra-Violet Convergence of the Electromagnetic Correction to the Ground State Energy of Hydrogen.

Descriptive Note:

Physical sciences research papers,

Corporate Author:

AIR FORCE CAMBRIDGE RESEARCH LABS L G HANSCOM FIELD MASS

Personal Author(s):

• Hoffman,Herbert S.
• Moses,Harry E.

Report Date:

1972-01-27

Pagination or Media Count:

12.0

Abstract:

It is shown that in the non-relativistic case, the ultraviolet divergence in the integrals for the electromagnetic shift of energy of the bound states of hydrogen is due to the neglect of the retardation in computing the matrix elements of the electromagnetic interaction p.A. When the exact matrix elements are used, there is no ultraviolet divergence. For the case of the shift of the ground state, the contributions to the shift from the two closest levels are computed and shown to be very small. Author

Descriptors:

• (*HYDROGEN
• *ATOMIC ORBITALS)
• GROUND STATE
• ELECTROMAGNETIC FIELDS
• QUANTUM THEORY
• PHOTONS

Subject Categories:

• Atomic and Molecular Physics and Spectroscopy

Distribution Statement:

APPROVED FOR PUBLIC RELEASE