Schrödinger Operators with Δ-interactions Supported on Conical Surfaces
نویسندگان
چکیده
We investigate the spectral properties of self-adjoint Schrödinger operators with attractive δ-interactions of constant strength α > 0 supported on conical surfaces in R3. It is shown that the essential spectrum is given by [−α2/4,+∞) and that the discrete spectrum is infinite and accumulates to −α2/4. Furthermore, an asymptotic estimate of these eigenvalues is obtained.
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