The dispersion equation and the wave functions of hole subbands in ult
rathin quantum wells and GaAs relation, semiconductors are found in th
e zero-radius potential approximation. A calculation of the energy spe
ctrum for GaAs/GaAlAs - an ultrathin quantum well - in the zero-radius
potential approximation is presented and compared with a calculation
performed by the standard envelope-function method. Good agreement bet
ween the two methods is obtained for quantum wells whose width is less
than 20 Angstrom. (C) 1996 American Institute of Physics.