Abstract

In the present work we treat problems of propagation by expanding the field operators in terms of mode operators associated with definite frequencies. Since a mode with a definite frequency is connected to energy eigenket with eigenvalue ħω, the Hamiltonian of such mode is of the form ${\widehat{H}}_0=\hslash \text{ω}{\widehat{a}}_{\text{ω}}^{+}{\widehat{a}}_{\text{ω}}$ with no interaction term.${\widehat{a}}_{\text{ω}}$ and ${\widehat{a}}_{\text{ω}}^{+}$ are the creation and annihilation operators for the flux of photons in a cross section A, and time T and ${\widehat{a}}_{\text{ω}}^{+}{\widehat{a}}_{\text{ω}}$ is the number operator for this flux of photons.

© 1994 IEEE