Deriving the static interaction between electric dipoles via the quantum gauge transformation
Quantum Physics
2013-02-15 v2 Atomic Physics
Abstract
Gauge transformation leaves the electric and the magnetic fields unchanged as long as the gauge function is treated classically. In this paper we consider the gauge transformation commonly used to obtain the electric dipole interaction Hamiltonian in a system of dipoles and the electromagnetic field (Goeppert-Mayer transformation) and treat the vector potential that appear in the gauge function as an operator. While it modifies the electric field, the static interaction between the dipoles is derived.
Cite
@article{arxiv.1302.0920,
title = {Deriving the static interaction between electric dipoles via the quantum gauge transformation},
author = {Makoto Morinaga},
journal= {arXiv preprint arXiv:1302.0920},
year = {2013}
}
Comments
5 pages; An appendix is added referring to the Coulomb potential