Larry Thomas
Scientific, Seminar
DG-MP-PDE Seminar: On an isoperimetric inequality for a Schroedinger operator depending on the curvature of a loop
Let \gamma be a smooth closed curve of length 2\pi in R^3, and let \kappa(s) be its curvature regarded as a function of arc length s. We associate with this curve the one-dimensional Schroedinger operator H_\gamma = -d^2/ds^2 + \kappa^2(s) acting on...