Siegert-pseudostate representation of quantal time evolution: A harmonic oscillator kicked by periodic pulses - art. no. 052721

Finiteness of the computational resources is a hindrance to representing th e lime evolution of an infinitely extended system. Several numerical techni ques are available for mimicking the nonboundedness of the system despite t he 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") demons trate the efficiency of the Siegert method.