We report experimental and theoretical investigations of the quantized hole
states in a magnetic field. We observe spin quantum beats in the time-reso
lved photoluminescence of N-modulation-doped GaAs/A(x)Ga(1-x)As quantum wel
ls in a magnetic field perpendicular to the growth direction. The measureme
nt of these quantum beats, which originate from the Larmor precession of he
avy-hole spins, yields the accurate determination of the transverse heavy-h
ole Lande g factor. We find \g(h,perpendicular to)\ = 0.04 +/- 0.01, in goo
d agreement with the theoretical calculations based on the k.p theory in th
e five level model. [S0163-1829(99)10931-7].