Quantum mechanics of systems periodic in time
- 1 August 1974
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 10 (2) , 461-465
- https://doi.org/10.1103/physreva.10.461
Abstract
Some expressions for the time evolution of quantum-mechanical systems with Hamiltonians periodic in time, derivable from the work of Shirley and applied by Young, Deal, and Kestner and Haeberlen and Waugh—all for finite-basis-set systems—are derived for a general system (possibly infinite Hilbert space). These results suggest a new type of approximation to the time-evolution operator, one which is exact at multiples of the period of the Hamiltonian. Comparison is made to an exactly soluble problem, namely, a nonrelativistic hydrogen atom in a circularly polarized monochromatic field.Keywords
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