Dispersion estimates for spherical Schrödinger equations: the effect of boundary conditions

• Autorzy: Holzleitner M. , Kostenko A. , Teschl G.

Identyfikatory

DOI

10.7494/OpMath.2016.36.6.769

• Języki publikacji: EN

Abstrakty

EN

We investigate the dependence of the [formula] dispersive estimates for one-dimensional radial Schrödinger operators on boundary conditions at 0. In contrast to the case of additive perturbations, we show that the change of a boundary condition at zero results in the change of the dispersive decay estimates if the angular momentum is positive, l ∈ (0,1/2). However, for nonpositive angular momenta, l ∈ (—1/2,0], the standard [formula] decay remains true for all self-adjoint realizations.

Słowa kluczowe

EN

Schrödinger equation; dispersive estimates; scattering

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2016
• Tom: Vol. 36, no. 6
• Strony: 769--786
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Holzleitner M.

• University of Vienna Faculty of Mathematics Oskar-Morgenstern-Platz 1, 1090 Wien, Austria

autor

Kostenko A.

• University of Vienna Faculty of Mathematics Oskar-Morgenstern-Platz 1, 1090 Wien, Austria

autor

Teschl G.

• University of Vienna Faculty of Mathematics Oskar-Morgenstern-Platz 1, 1090 Wien, Austria

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.