Nakamura, Shu Scattering theory for the shape resonance model. II: Resonance scattering. (English) Zbl 0686.35091 Ann. Inst. Henri Poincaré, Phys. Théor. 50, No. 2, 133-142 (1989). [For part I see the preceding review.] The study of the limit \(\hslash \to 0\) for the scattering matrix \(S_{\hslash}(\lambda)\) of the operator \(H(\hslash)=-\hslash^ 2\Delta +V(x)\) is continued. Compared to the first part of the paper resonant energies are allowed. Reviewer: D.Yafaev Cited in 1 ReviewCited in 4 Documents MSC: 35P25 Scattering theory for PDEs 35J10 Schrödinger operator, Schrödinger equation Keywords:semiclassical limit; S-matrix; resonant energies Citations:Zbl 0686.35090 PDFBibTeX XMLCite \textit{S. Nakamura}, Ann. Inst. Henri Poincaré, Phys. Théor. 50, No. 2, 133--142 (1989; Zbl 0686.35091) Full Text: Numdam EuDML References: [1] S. Agmon , Lectures on exponential decay of solutions of second order elliptic equations. Bounds on eigenfunctions of N-body Schrödinger operators . Mathematical Notes . Princeton, N. J ., Princeton Univ. Press , 1982 . MR 745286 | Zbl 0503.35001 · Zbl 0503.35001 [2] J.M. Combes , P. Duclos , M. Klein , R. Seiler , The shape resonance . Commun. Math. Phys. , t. 110 , 1987 , p. 215 - 236 . Article | MR 887996 | Zbl 0629.47044 · Zbl 0629.47044 [3] M. Klein , On the absence of resonances for Schrödinger operators with non-trapping potentials in the classical limit . Commun. Math. Phys. , t. 106 , 1986 , p. 485 - 494 . Article | MR 859823 | Zbl 0651.47007 · Zbl 0651.47007 [4] M. Reed , B. Simon , Methods of modern mathematical physics. I-IV . New York , San Francisco , London , Academic Press , 1972 - 1979 . MR 751959 · Zbl 0242.46001 [5] B. Simon , Semiclassical analysis of low lying eigenvalues. II. Tunneling . Ann. Math. , t. 120 , 1984 , p. 89 - 118 . MR 750717 | Zbl 0626.35070 · Zbl 0626.35070 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.