Given the abstract wave equation phi-Delta (alpha)phi =0, where Delta (alpha) is the Laplace operator with a point interaction of strength alpha, we define and study (W) over bar (alpha), the associated wave generator in the phase space of finite energy states. We prove the existence of the phase flow generated by (W) over bar (alpha), and describe its most relevant properties with a particular emphasis on the associated symplectic structure and scattering theory. (C) 2001 American Institute of Physics.
Bertini, M., Noja, D., Posilicano, A. (2001). Wave equations with point interactions in finite energy spaces. JOURNAL OF MATHEMATICAL PHYSICS, 42(5), 2184-2202 [10.1063/1.1360194].
Wave equations with point interactions in finite energy spaces
NOJA, DIEGO DAVIDE;
2001
Abstract
Given the abstract wave equation phi-Delta (alpha)phi =0, where Delta (alpha) is the Laplace operator with a point interaction of strength alpha, we define and study (W) over bar (alpha), the associated wave generator in the phase space of finite energy states. We prove the existence of the phase flow generated by (W) over bar (alpha), and describe its most relevant properties with a particular emphasis on the associated symplectic structure and scattering theory. (C) 2001 American Institute of Physics.
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