Large quantum-number states and the correspondence principle

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Abstract
The large principal-quantum-number limit is investigated. Several concrete examples are worked out and the correspondence principle is reexamined under the light shed by these calculations. In particular, it is shown that a simple linear combination of three one-dimensional harmonic-oscillator eigenstates leads to results at variance with classical physics, in the high quantum-number limit. The possibility of actually observing these phenomena is also briefly discussed.

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