Sharp Hardy uncertainty principle and gaussian profiles of covariant Schrödinger evolutions

DOI10.1090/S0002-9947-2014-06383-6zbMath1331.35292arXiv1307.6428OpenAlexW2593649538MaRDI QIDQ5496660

Biagio Cassano, Luca Fanelli

Publication date: 2 February 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.6428

zbMATH Keywords

Schrödinger equationuncertainty principleunique continuationelectromagnetic potential

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (10)

Sharp exponential decay for solutions of the stationary perturbed Dirac equation ⋮ Gaussian decay of harmonic oscillators and related models ⋮ Hardy’s uncertainty principle and unique continuation property for stochastic heat equations ⋮ Notes on Hardy's uncertainty principle for the Wigner distribution and Schrödinger evolutions ⋮ Convexity properties of discrete Schrödinger evolutions ⋮ A discrete Hardy's uncertainty principle and discrete evolutions ⋮ Uniqueness for solutions of the Schrödinger equation on trees ⋮ Mass propagation for electromagnetic Schrödinger evolutions ⋮ Dynamical versions of Hardy’s uncertainty principle: A survey ⋮ AN UNCERTAINTY PRINCIPLE FOR SOLUTIONS OF THE SCHRÖDINGER EQUATION ON -TYPE GROUPS

Cites Work

• Unnamed Item
• Unnamed Item
• Hardy uncertainty principle and unique continuation properties of covariant Schrödinger flows
• The sharp Hardy uncertainty principle for Schrödinger evolutions
• A survey on uncertainty principles related to quadratic forms
• Hardy's uncertainty principle, convexity and Schrödinger evolutions
• Convexity properties of solutions to the free Schrödinger equation with Gaussian decay
• The analysis of linear partial differential operators. IV: Fourier integral operators
• Magnetic virial identities, weak dispersion and Strichartz inequalities
• Spectral representation for Schrödinger operators with magnetic vector potentials
• The uncertainty principle: A mathematical survey
• Uncertainty principles on certain Lie groups
• Gaussian decay of the magnetic eigenfunctions
• Uniqueness properties of solutions of Schrödinger equations
• The Hardy uncertainty principle revisited
• Uncertainty principle of Morgan type and Schrödinger evolutions
• Unique continuation for the Schrödinger equation with gradient vector potentials
• ON THE POSSIBLE RATE OF DECAY AT INFINITY OF SOLUTIONS OF SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS
• Unique continuation at infinity of solutions to Schrödinger equations with complex-valued potentials

This page was built for publication: Sharp Hardy uncertainty principle and gaussian profiles of covariant Schrödinger evolutions