The Schrödinger equation along curves and the quantum harmonic oscillator

DOI10.1016/j.aim.2011.10.023zbMath1236.35022OpenAlexW2062132610MaRDI QIDQ664745

Keith M. Rogers, Sanghyuk Lee

Publication date: 2 March 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2011.10.023

zbMATH Keywords

Schrödinger equationpointwise convergenceharmonic oscillator

Mathematics Subject Classification ID

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

Related Items (16)

Pointwise convergence over fractals for dispersive equations with homogeneous symbol ⋮ An upbound of Hausdorff's dimension of the divergence set of the fractional Schrödinger operator on \(H^s(\mathbb{R}^n)\) ⋮ Pointwise convergence of sequential Schrödinger means ⋮ Pointwise convergence along a tangential curve for the fractional Schrödinger equation with 0 < m < 1 ⋮ Weighted maximal estimates along curve associated with dispersive equations ⋮ Sharp pointwise convergence on the Schrödinger operator along one class of curves ⋮ Average decay of the Fourier transform of measures with applications ⋮ A study on a class of generalized Schrödinger operators ⋮ Coherence on fractals versus pointwise convergence for the Schrödinger equation ⋮ Convergence of solutions of general dispersive equations along curve ⋮ Dimension of divergence sets for the pointwise convergence of the Schrödinger equation ⋮ An improved maximal inequality for 2D fractional order Schrödinger operators ⋮ Pointwise convergence along a tangential curve for the fractional Schrödinger equation ⋮ A note on non-tangential convergence for Schrödinger operators ⋮ ESTIMATES FOR SCHRÖDINGER MAXIMAL OPERATORSALONG CURVE WITH COMPLEX TIME ⋮ A Note on the Convergence of the Schrodinger Operator along Curve

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