For Hamiltonians periodic in time, we obtain under certain assumptions a condition which is necessary and sufficient for the existence of quasiperiodic pointwise solutions to the Schrödinger equation. Orthonormality and completeness of these functions in L2(Rn) are investigated, and the time-displacement operator is considered as a sum of quasiperiodic terms.
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Joyce M. Okuniewicz (1974) studied this question.
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