Quasiperiodic pointwise solutions of the periodic, time-dependent Schrödinger equation
- 1 September 1974
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 15 (9), 1587-1595
- https://doi.org/10.1063/1.1666850
Abstract
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.Keywords
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