|
Journal of Physical Studies 14(3), Article 3301 [11 pages] (2010)
DOI: https://doi.org/10.30970/jps.14.3301 THE PROBLEM OF TWO ELECTRONS WITHIN THE THIRD ORDER OF THE QUANTUM ELECTRODYNAMICSV. Yu. Lazur, O. F. Pavlyk, O. K. Reity
Uzhgorod National University, Department of Theoretical Physics, 54
Voloshyna St., Uzhgorod, 88000, Ukraine |
 |
The problem of the interaction of two quasimolecular electrons located at an arbitrary distance from each other near different atoms (nuclei) is solved. The effects of the third order in the quantum electrodynamics which include the exchange of the virtual photon between the electrons and radiation (absorption) of the real photon are considered. The general expression for the matrix elements of the operator of the effective interaction energy of two quasimolecular electrons with the external radiation field is obtained. It allows to calculate the probabilities of inelastic processes with the rearrangement in slow collisions of multicharged ions with relativistic atoms. The successive implementation of the procedure of symmetrization of the retardation factor with respect to both electrons is shown to lead to a rise of the additional terms in the relativistic operator of the interaction of two quasimolecular electrons compared with both the standard Breit operator and the generalized Breit operator from papers [O. N. Gadomsky, V. R. Nagibarov, N. R. Solovarov, Zh. Eksp. Teor. Fiz. {\bf 63} 813 (1972); {\bf 70} 435 (1976); O. N. Gadomsky, K. K. Altunin, Zh. Eksp. Teor. Fiz. {\bf 144} 1555 (1998); O. N. Gadomsky, Usp. Fiz. Nauk {\bf 170}, 1554 (2000)].
PACS number(s): 31.30.J-, 34.70.+e