Now showing items 1-2 of 2

    • 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 ...