Abstract
Finiteness of the computational resources is a hindrance to representing the time evolution of an infinitely extended system. Several numerical techniques are available for mimicking the nonboundedness of the system despite the restricted Hilbert space of the employed expansion basis set. We present a formulation based on the outgoing-wave Siegert pseudostates. A harmonic oscillator exposed to a periodic train of impulsive pulses (``kicks'') demonstrate the efficiency of the Siegert method.
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