Related Experiment Video
Updated: Aug 11, 2026

Surface Mapping of Earth-like Exoplanets using Single Point Light Curves
Published on: May 10, 2020
Curvature effects on spiral spectra: generation of point eigenvalues near branch points
1Department of Mathematics and Statistics, University of Surrey, Guildford GU2 7XH, UK. b.sandstede@surrey.ac.uk
Abstract:
It is shown that spiral waves may possess many isolated point eigenvalues that appear near branch points of the linear dispersion relation. These eigenvalues are created by the same mechanism that leads to infinitely many bound states for selfadjoint Schrödinger operators with sufficiently weakly decaying long-range potentials. For spirals, the weak decay of the potential is due to the curvature effects on the profile of the spiral in an intermediate spatial range that separates the spiral core from the far field.
Related Concept Videos
Curvature and Its Interpretation
Divergence and Curl of Magnetic Field
Divergence and Curl of Electric Field
Polar Curves
Deformations in a Symmetric Member in Bending
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
Bending of Curved Members - Strain Analysis
The important part of bending analysis for such a member is the...
