BooksecrCollected Volumepp. 419–432

Spectral asymptotics induced by approaching and diverging planar circles

  • Sylwia Kondej

    University of Zielona Góra, Poland
Spectral asymptotics induced by approaching and diverging planar circles cover
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Abstract

We consider two dimensional system governed by the Hamiltonian with delta interaction supported by two concentric circles separated by distance dd. We analyze the asymptotics of the discrete eigenvalues for d0d \to 0 as well as for dd\to \infty.