A Subtlety of the Schrödinger Picture Dynamics

Physics – Quantum Physics

Scientific paper

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Minor amendments, typos corrected, to appear in Rep. Math. Phys

Scientific paper

10.1016/S0034-4877(05)80046-1

We address a mathematical and physical status of exotic (like e.g. fractal)
wave packets and their quantum dynamics. To this end, we extend the formal
meaning of the Schr\"{o}dinger equation beyond the domain of the Hamiltonian.
The dynamical importance of the finite mean energy condition is elucidated.

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