EXPONENTIAL SPLIT OPERATOR METHODS FOR SOLVING COUPLED TIME-DEPENDENTSCHRODINGER-EQUATIONS

Coherent excitation of molecules with laser pulses are usually describ ed by coupled time-dependent linear parabolic partial differential equ ations, i.e., Schrodinger equations. Numerical solutions of these equa tions based on splitting (factorization) of the exponential form of th e evolution operator or time-dependent propagator are examined for acc uracy of amplitude and phase as a function of various unitary splittin g schemes.