The present paper developed two kinds of new time-dependent methods in
quantum scattering calculation. One method is to combine a split-oper
ator method with a differential method to achieve better convergent pr
operty than a pure differential method and better adaptive property in
a multidimensional case than the pure split-operator method. Another
method is to adopt a desired time-dependent variational principle to a
chieve variational correction in numerical calculations, which can imp
rove the result from direct numerical evaluation with little additiona
l consumed time. (C) 1996 American Institute of Physics.