Borrowing heavily from the literature, we develop a transport relaxation eq
uation for the off-diagonal elements of the density matrix. It is applicabl
e to a large range of topics in laser theory, nonlinear optics and spectral
line shapes, etc. Applying this single equation to the case of infrared el
ectric dipole transitions permits us to recover, quickly and simply, all of
the well-known spectral line shapes found in the literature. It also offer
s further insight into the process of line mixing, particularly in the weak
mixing limit. An outline of a new treatment of Dicke narrowing and other s
peed-dependent contributions to spectral profiles is also given in terms of
the transport relaxation equation. The treatment also provides a numerical
method for including the effects of statistical correlation between the ev
olution of the internal and translational degrees of freedom. [S1050-2947(9
9)11205-8].