# Solvable Models of Resonances and Decays

@article{Exner2013SolvableMO, title={Solvable Models of Resonances and Decays}, author={Pavel Exner}, journal={arXiv: Mathematical Physics}, year={2013}, pages={165-227} }

Resonance and decay phenomena are ubiquitous in the quantum world. To understand them in their complexity it is useful to study solvable models in a wide sense, that is, systems which can be treated by analytical means. The present review offers a survey of such models startingt he classical Friedrichs result and carryingfu rther to recent developments in the theory of quantum graphs. Our attention concentrates on dynamical mechanism underlyingre sonance effects and at time evolution of the… CONTINUE READING

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## Spectral and resonance properties of the Smilansky Hamiltonian

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## Spectral analysis of a quantum system with a double line singular interaction

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## Expansion of the resolvent in a Feshbach model

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