Sjöstrand, J. A trace formula for resonances and applications to semi-classical Schrödinger operators. (English) Zbl 1061.35506 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 1996-1997, Exp. No. II, 17 p. (1997). From the introduction: We explain a trace formula valid in all dimensions, and even for long-range perturbations of the Laplacian. The new trace-formula permits to recover most (and perhaps all) the lower bounds on the density of resonances near the real axis, for certain compactly supported perturbations of the Laplacian. Cited in 2 Documents MSC: 35P25 Scattering theory for PDEs 81Q20 Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory 35J10 Schrödinger operator, Schrödinger equation 47F05 General theory of partial differential operators Keywords:Poisson formula; Lax-Phillips scattering theory; semi-classical Schrödinger operators; long-range perturbations of the Laplacian PDF BibTeX XML Cite \textit{J. Sjöstrand}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 1996--1997, Exp. No. II, 17 p. (1997; Zbl 1061.35506) Full Text: Numdam EuDML OpenURL