A mathematical formulation of the Mahaux–Weidenmüller formula for the scattering matrix
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL(2009)
摘要
This paper gives a mathematical exposition of a formula for the scattering matrix for a manifold with infinite cylindrical ends or a waveguide. This formula is well known in the physics literature and we show that a variant of this formula gives the scattering matrix of the mathematics literature. Moreover, we bound the difference between the scattering matrix and an approximation of it computed using a finite rank approximation of the interaction matrix.
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关键词
mahaux–weidenmüller formulation
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