Spectral and resonance properties of Smilansky Hamiltonian

10 Oct 2016 Exner Pavel Lotoreichik Vladimir Tater Miloš

We analyze the Hamiltonian proposed by Smilansky to describe irreversible dynamics in quantum graphs and studied further by Solomyak and others. We derive a weak-coupling asymptotics of the ground state and add new insights by finding the discrete spectrum numerically... (read more)

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Categories


  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS
  • SPECTRAL THEORY
  • QUANTUM PHYSICS