This paper presents several criteria that should be satisfied by any method
such as the original continuous surface switching method that attempts to
combine elements of the trajectory surface hopping method with elements of
the self-consistent potential method for semiclassical electronically nonad
iabatic molecular dynamics calculations. We present an improved, functional
ly simpler algorithm for the continuous surface switching method for nonadi
abatic trajectory calculations. We show that this new algorithm satisfies n
ine criteria of reasonableness, whereas the original method satisfied only
five of these; and we show that the accuracy of the new algorithm is somewh
at better than the accuracy of the original method. (C) 2001 American Insti
tute of Physics.