Sharp Hardy uncertainty principle and gaussian profiles of covariant Schrödinger evolutions
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- by B. Cassano and L. Fanelli PDF
- Trans. Amer. Math. Soc. 367 (2015), 2213-2233 Request permission
Abstract:
We prove a sharp version of the Hardy uncertainty principle for Schrödinger equations with external bounded electromagnetic potentials, based on logarithmic convexity properties of Schrödinger evolutions. We provide, in addition, an example of a real electromagnetic potential which produces the existence of solutions with critical gaussian decay, at two distinct times.References
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Additional Information
- B. Cassano
- Affiliation: Dipartimento di Matematica, Sapienza Università di Roma, P.le A. Moro 5, 00185-Roma, Italy
- Email: cassano@mat.uniroma1.it
- L. Fanelli
- Affiliation: Dipartimento di Matematica, Sapienza Università di Roma, P.le A. Moro 5, 00185-Roma, Italy
- Email: fanelli@mat.uniroma1.it
- Received by editor(s): October 1, 2013
- Published electronically: September 22, 2014
- Additional Notes: The authors were supported by the Italian project FIRB 2012 Dispersive Dynamics: Fourier Analysis and Calculus of Variations.
- © Copyright 2014 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 367 (2015), 2213-2233
- MSC (2010): Primary 35J10, 35L05
- DOI: https://doi.org/10.1090/S0002-9947-2014-06383-6
- MathSciNet review: 3286512