A puzzle in quantum dynamics

Physics – Quantum Physics

Scientific paper

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11 pages, 2 figures, Latex

Scientific paper

The textbook treatment in that the wave function of a dynamical system is
expanded in an eigenfunction series is investigated. With help of an elementary
example and some mathematical theorems, it is revealed that in terms of solving
the time-dependent Schr\"odinger equation the treatment involves in divergence
trouble . The root reason behind the trouble is finally analyzed.

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