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A Subtlety of the Schr\"{o}dinger Picture Dynamics

Quantum Physics 2009-11-11 v2 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.quant-ph/0504098,
  title  = {A Subtlety of the Schr\"{o}dinger Picture Dynamics},
  author = {Piotr Garbaczewski},
  journal= {arXiv preprint arXiv:quant-ph/0504098},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T19:48:40.595Z