Zero Energy Solutions and Vortices in Schroedinger Equations

Tsunehiro Kobayashi, Toshiki Shimbori

All two-dimensional Schrödinger equations with symmetric potentials \break $(V_a(\rho )=-a^2{g}_a{\rho }^{2(a-1)/2}with\rho =\sqrt{x^2+y^2}anda\ne 0)$ is shown to have zero energy states…