The energy levels of the Schrodinger equation for the potential x(2) y(2) + lambda[a(xx)x(4) + 2a(xy)x(2)y(2) + a(yy)y(4)] are calculated
using Hill determinant approach for several eigenstates and over a wid
e range of values of perturbation parameters. The obtained numerical r
esults agree with those previously reported by other methods.