The characteristic angle (CA) method is employed to investigate the gr
ound state configuration and the spin-wave excitations of a spin-one m
agnetic multilayer with single-ion anisotropies. More quantum fluctuat
ions can be considered through the CA approach than through the conven
tional method. The results show that only one nontrivial spin configur
ation is the physical one although one can find many other possible on
es by minimizing the ground state energy. We also draw the rather gene
ral conclusion that the low-temperature specific heat may have a peak
in the vicinity of the critical field at which the system transits fro
m the trivial spin configuration to the nontrivial one.