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math-ph2016★ 5 cited
Spectral and resonance properties of Smilansky Hamiltonian
Pavel Exner, Vladimir Lotoreichik, Miloš Tater
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 asymptoti…
math-ph2016
On resonances and bound states of Smilansky Hamiltonian
Pavel Exner, Vladimir Lotoreichik, Miloš Tater
We consider the self-adjoint Smilansky Hamiltonian in associated with the formal differential expression $-\partial_x^2 - \frac12\big(\…