Approximate good quantum numbers in Cs Stark states

Using Cs atom zero-field wavefunctions from a kind of atomic potential mode l, and the mean value of z-component of spin angular momentum (S-z) in each Stark state, we numerically investigate the approximate good quantum numbe rs in Cs Stark states. Our results quantitatively confirm the concept that m(l) and m(s) can be taken as the approximate good quantum numbers in two c ases, except for some Stark states in a few special field points or ranges; however we also find that m(l) and m(s) cannot be treated as the approxima te good quantum numbers for these special Stark states.