Now showing items 1-3 of 3

    • On the bound states of Schrödinger operators with $\delta$-interactions on conical surfaces 

      Lotoreichik V.; Ourmières-Bonafos T. (Communications in Partial Differential Equations, 2016-06-30)
      In dimension greater than or equal to three, we investigate the spectrum of a Schrödinger operator with a $\delta$-interaction supported on a cone whose cross section is the sphere of codimension two. After decomposing ...
    • Spectral asymptotics for $\delta$-interactions on sharp cones 

      Ourmières-Bonafos T.; Pankrashkin K.; Pizzichillo F. (Journal of Mathematical Analysis and Applications, 2017)
      We investigate the spectrum of three-dimensional Schr\"odinger operators with $\delta$-interactions of constant strength supported on circular cones. As shown in earlier works, such operators have infinitely many eigenvalues ...
    • Spectral Transitions for Aharonov-Bohm Laplacians on Conical Layers 

      Krejčiřík D.; Lotoreichik V.; Ourmières-Bonafos T. (2016-07-11)
      We consider the Laplace operator in a tubular neighbourhood of a conical surface of revolution, subject to an Aharonov-Bohm magnetic field supported on the axis of symmetry and Dirichlet boundary conditions on the boundary ...