18-6 Pavel Exner and Jiri Lipovsky

Smilansky-Solomyak model with a $\delta'$-interaction (254K, pdf) Jan 23, 18

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Abstract. We investigate a strongly singular version of the model of irreversible dynamics proposed by Smilansky and Solomyak in which the interaction responsible for an abrupt change of the spectrum is of $\delta'$ type. We determine the spectrum in both the subcritical and supercritical regimes and discuss its character as well as its asymptotic properties of the discrete spectrum in terms of the coupling constant.

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