Dispersion estimates for spherical Schrödinger equations

DOI10.1007/s00023-016-0474-9zbMath1360.34175arXiv1504.03015OpenAlexW3098849365WikidataQ57343486 ScholiaQ57343486MaRDI QIDQ345055

Julio H. Toloza, Gerald Teschl, Aleksey S. Kostenko

Publication date: 25 November 2016

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.03015

zbMATH Keywords

Schrödinger equationJost functiondispersive decay solutionedge of the continuous spectrum

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Dispersion theory, dispersion relations arising in quantum theory (81U30)

Related Items

Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator, Stationary and dynamical scattering problems and ergodic-type theorems, A transmutation operator method for solving the inverse quantum scattering problem ^*, On a series representation for integral kernels of transmutation operators for perturbed Bessel equations, On Schrödinger operators with inverse square potentials on the half-line, \(L^p-L^{p'}\) estimates for matrix Schrödinger equations, Transformation operators for spherical Schrödinger operators

Uses Software

• DLMF

Cites Work

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