Abstract
We construct raising and lowering operators for certain orthonormal bases ofL2(Rn). These bases consist of quantum mechanical wave packets that can be used to develop asymptotic expansions for solutions to the time–dependent Schrödinger equation in the semiclassical limit. With the knowledge of the raising and lowering operators, we simplify the construction of these bases and the proofs of their crucial properties. We also present simplified proofs of several results in semiclassical quantum mechanics.
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