00-423 Massimo Bertini, Diego Noja, Andrea Posilicano
WAVE EQUATIONS WITH POINT INTERACTIONS IN FINITE ENERGY SPACES (54K, AMSTEX) Oct 27, 00
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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.

Files: 00-423.src( 00-423.keywords , wave.tex )