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Spectral asymptotics for $\delta$-interactions on sharp cones 

Ourmières-Bonafos, T.; Pankrashkin, K.; Pizzichillo, F. (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 ...
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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 ...
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On the bound states of Schrödinger operators with $\delta$-interactions on conical surfaces 

Lotoreichik, V.; Ourmières-Bonafos, T. (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 ...

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AuthorOurmières-Bonafos, T. (3)Lotoreichik, V. (2)Krejčiřík, D. (1)Pankrashkin, K. (1)Pizzichillo, F. (1)Subject
Schrödinger operator (3)
$\delta$-interaction (2)existence of bound states (2)spectral asymptotics (2)asymptotic analysis (1)conical and hyperconical surfaces (1)conical geometries (1)conical surface (1)eigenvalue (1)quantum layers (1)... másFecha2017 (1)2016 (2)

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