The interaction between the conduction band and valence bands in wurtz
ite GaN is theoretically investigated by means of the first-principles
calculation and the k . p theory. The momentum matrix elements are de
rived from the first-principles electronic band structure, calculated
by a full-potential linearized augmented plane wave method. We also sh
ow analytical expressions of the momentum matrix: elements, based on t
he 8 x 8 k . p theory for the wurtzite structure. The values estimated
from the analytical expressions are in good agreement with those obta
ined from the first-principles calculation.