RealFeedApp The bound is linear in the Lévy index
Analysis of the Lévy wave packet shows the proposed bound is nearly linear in the Lévy index and holds for exact solutions found in the literature.
- Field
- how neural networks work
- What they did
- Researchers revisited a decade-old debate on fractional uncertainty relations by proposing a novel lower bound for the position-momentum uncertainty product in fractional quantum mechanics. This bound is nearly linear in the Lévy index and is satisfied by exact, calculable solutions available in the literature.
- Why it matters
- The proposed bound allows for verifying the accuracy of existing solutions in fractional quantum mechanics and may help resolve the long-standing theoretical dispute regarding the nature of uncertainty in this field.
#quantum mechanics#uncertainty relations#lévy wave packet#fractional quantum mechanics
