- 18-6 Pavel Exner and Jiri Lipovsky
- Smilansky-Solomyak model with a $\delta'$-interaction
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.