Recent research at Oxford is reviewed on resonant tunneling in type II GaAs
/AlAs "double barrier" structures. In this work high pressure and high magn
etic field, both parallel and perpendicular to the layers, play a key role.
Our results include the first determination of the pressure dependence of
the transverse effective mass in AlAs, a complete re-evaluation of the shap
e of the camel's back dispersion, and the first observation of X-x-X-y inte
rface band mixing.