Spectral and Scattering Theory for Schrödinger Operators with Cartesian Anisotropy

Article Article scientifique Article Spectral and Scattering Theory for Schrödinger Operators with Cartesian Anisotropy eng 2005 author Richard Serge 131139 73-111 10.2977/PRIMS/1145475405 0034-5318 We study the spectral and scattering theory of some n-dimensional anisotropic Schrödinger operators. The characteristic of the potentials is that they admit limits at infinity separately for each variable. We give a detailed analysis of the spectrum: the essential spectrum, the thresholds, a Mourre estimate, a limiting absorption principle and the absence of singularly continuous spectrum. Then the asymptotic completeness is proved and a precise description of the asymptotic states is obtained in terms of a suitable family of asymptotic operators. Dewey 500.2 37 Département de physique théorique 133 false Publications of the Research Institute for Mathematical Sciences 41 1 21e14694-bbca-40b8-b80f-7d600215c76f Article (Published version) Restricted Richard_RIMS_20054173.pdf 427479 application/pdf 0d0424b4ed4b2c70e8ecbaa3f001a72508e5e26dcf5e20524efec7690e601c39 restrictedAccess Faculté des sciences / Section de physique / Département de physique théorique

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Spectral and Scattering Theory for Schrödinger Operators with Cartesian Anisotropy	Publications of the Research Institute for Mathematical Sciences			2005	51	0

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Richard, Serge