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Exponential split operator methods for solving coupled time-dependent Schrödinger equations

1993; American Institute of Physics; Volume: 99; Issue: 2 Linguagem: Inglês

10.1063/1.465362

1520-9032

André D. Bandrauk, Hai Shen,

Advanced Fiber Laser Technologies

Coherent excitation of molecules with laser pulses are usually described by coupled time-dependent linear parabolic partial differential equations, i.e., Schrödinger equations. Numerical solutions of these equations based on splitting (factorization) of the exponential form of the evolution operator or time-dependent propagator are examined for accuracy of amplitude and phase as a function of various unitary splitting schemes.