A Subtlety of the Schrödinger Picture Dynamics

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 Schrödinger equation beyond the domain of the Hamiltonian. The dynamical importance of the finite mean energy condition is elucidated.

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

References in corpus (3)

• Time Evolution of Quantum Fractals
• Incompleteness of trajectory-based interpretations of quantum mechanics
• Frictionless Random Dynamics: Hydrodynamical Formalism

Cited by in corpus (1)

• Indeterminacy relations in random dynamics