Transport Theory in Strong Magnetic Fields

A unified treatment of transport phenomena in crossed electric and magnetic fields is presented. This theory is limited to strong magnetic fields, ${\omega }_c\overline{\tau }\gg 1$, where ${\omega }_c$ and $\frac{1}{\overline{\tau }}$ are the cyclotron and mean collision frequencies, respectively. It is not, however, limited to linear response in the electric field nor is a relaxation time approximation introduced. The semiclassical and quantum theories are developed along parallel lines.