In cubic semiconductors the hole-mass ratio is small, which makes it possib
le to use the zero light-hole-mass limit. It was found that variational met
hods in this popular limit are not necessary to solve the Luttinger equatio
n and not only the entire energy spectrum for the bound states of an accept
or and the eigenfunctions, including in momentum space, but also the behavi
or of the eigenfunctions at large radii can be determined to a high degree
of accuracy. This approach made it possible to suggest comparatively simple
relations for the lowest states of each series having different angular mo
menta, covering the entire range of possible mass ratios for semiconductors
. (C) 1999 American Institute of Physics. [S1063-7834(99)00709-1].