MAXWELL FIELD OPERATORS, THE ENERGY DENSITY, AND THE POYNTING VECTOR CALCULATED USING THE MINIMAL-COUPLING FRAMEWORK OF MOLECULAR QUANTUM ELECTRODYNAMICS IN THE HEISENBERG PICTURE
A. Salam, MAXWELL FIELD OPERATORS, THE ENERGY DENSITY, AND THE POYNTING VECTOR CALCULATED USING THE MINIMAL-COUPLING FRAMEWORK OF MOLECULAR QUANTUM ELECTRODYNAMICS IN THE HEISENBERG PICTURE, Physical review. A, 56(4), 1997, pp. 2579-2591
The time-dependent total electric-and magnetic-field operators in the
neighborhood of a molecule are calculated in the minimal-coupling form
alism of Coulomb gauge quantum electrodynamics. The spatial variations
of the vector potential are taken into account, enabling the fields c
orrect to second order in the electronic charge to include magnetic-di
pole-and electric-quadrupole-dependent terms in addition to contributi
ons arising from the electric-dipole interaction term. The minimal-cou
pling Maxwell fields are compared and contrasted with their analogs pr
eviously derived in the multipolar framework. The electric-and magneti
c-radiation-field operators derived in the minimal-coupling formalism
are then used to calculate the expectation values of the Thomson energ
y density and the Poynting vector, and the results obtained are shown
to be identical to those of the multipolar theory.