Abstract
The multipolar form of quantum electrodynamics has been proposed by Power, Zienau et al. It is widely used in nonrelativistic calculations but has the deficiency: its Hamiltonians has a divergent operator term. It is shown that the divergency can be removed by a regularization of the unitary transformation which converts the Coulomb gauge into the multipolar form. The regularized multipolar form is proven to have the same ultraviolet radiative divergencies as the Coulomb gauge electrodynamics. It is also demonstrated that the interaction with soft photons is represented by the usual electric dipole term eqE and interatomic Coulomb interactions persist to be absent. 17 refs.; 2 figs.
Citation Formats
Shirokov, M I.
Regularization of the multipolar form of quantum electrodynamics.
JINR: N. p.,
1991.
Web.
Shirokov, M I.
Regularization of the multipolar form of quantum electrodynamics.
JINR.
Shirokov, M I.
1991.
"Regularization of the multipolar form of quantum electrodynamics."
JINR.
@misc{etde_10126238,
title = {Regularization of the multipolar form of quantum electrodynamics}
author = {Shirokov, M I}
abstractNote = {The multipolar form of quantum electrodynamics has been proposed by Power, Zienau et al. It is widely used in nonrelativistic calculations but has the deficiency: its Hamiltonians has a divergent operator term. It is shown that the divergency can be removed by a regularization of the unitary transformation which converts the Coulomb gauge into the multipolar form. The regularized multipolar form is proven to have the same ultraviolet radiative divergencies as the Coulomb gauge electrodynamics. It is also demonstrated that the interaction with soft photons is represented by the usual electric dipole term eqE and interatomic Coulomb interactions persist to be absent. 17 refs.; 2 figs.}
place = {JINR}
year = {1991}
month = {Dec}
}
title = {Regularization of the multipolar form of quantum electrodynamics}
author = {Shirokov, M I}
abstractNote = {The multipolar form of quantum electrodynamics has been proposed by Power, Zienau et al. It is widely used in nonrelativistic calculations but has the deficiency: its Hamiltonians has a divergent operator term. It is shown that the divergency can be removed by a regularization of the unitary transformation which converts the Coulomb gauge into the multipolar form. The regularized multipolar form is proven to have the same ultraviolet radiative divergencies as the Coulomb gauge electrodynamics. It is also demonstrated that the interaction with soft photons is represented by the usual electric dipole term eqE and interatomic Coulomb interactions persist to be absent. 17 refs.; 2 figs.}
place = {JINR}
year = {1991}
month = {Dec}
}