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Wave Equations with Point Interactions in Finite Energy Space

Massimo Bertini·Diego Noja·Andrea Posilicano
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Abstract

Given the abstract wave equation $\ddot\phi-\Delta_\alpha\phi=0$, where $\Delta_\alpha$ is the Laplace operator with a point interaction of strength $\alpha$, we define and study $\bar W_\alpha$, the associated wave generator in the phase space of finite energy states. We prove the existence of the phase flow generated by $\bar W_\alpha$, and describe its most relevant properties with particular emphasis on the associated symplectic structure and scattering theory

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Massimo Bertini, Diego Noja, Andrea Posilicano. 2000-10-27. Wave Equations with Point Interactions in Finite Energy Space. https://doi.org/10.1063/1.1360194

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