00459oas 2200181z- 450 991038365670332120160824153745.01066-8500(CKB)991042749785548(EXLCZ)9999104274978554820130513cuuuuuuuu -u- -engABSA newsletterMundelein, ILThe AssociationJOURNAL9910383656703321ABSA newsletter1957936UNINA03192nam 2200637 450 99646647820331620220818194658.03-540-45913-810.1007/BFb0078115(CKB)1000000000437469(SSID)ssj0000326508(PQKBManifestationID)12090825(PQKBTitleCode)TC0000326508(PQKBWorkID)10296477(PQKB)11193630(DE-He213)978-3-540-45913-2(MiAaPQ)EBC5577518(Au-PeEL)EBL5577518(OCoLC)1066193714(MiAaPQ)EBC6812196(Au-PeEL)EBL6812196(PPN)155163612(EXLCZ)99100000000043746920220818d1988 uy 0engurnn|008mamaatxtccrSemi-classical analysis for the Schrödinger operator and applications /Bernard Helffer1st ed. 1988.Berlin :Springer-Verlag,[1988]©19881 online resource (V, 110 p.) Lecture notes in mathematics (Springer-Verlag) ;1336Bibliographic Level Mode of Issuance: Monograph0-387-50076-6 3-540-50076-6 Generalities on semi-classical analysis -- B.K.W. Construction for a potential near the bottom in the case of non-degenerate minima -- The decay of the eigenfunctions -- Study of interaction between the wells -- An introduction to recent results of Witten -- On Schrödinger operators with periodic electric potentials -- On Schrödinger operators with magnetic fields.This introduction to semi-classical analysis is an extension of a course given by the author at the University of Nankai. It presents for some of the standard cases presented in quantum mechanics books a rigorous study of the tunneling effect, as an introduction to recent research work. The book may be read by a graduate student familiar with the classic book of Reed-Simon, and for some chapters basic notions in differential geometry. The mathematician will find here a nice application of PDE techniques and the physicist will discover the precise link between approximate solutions (B.K.W. constructions) and exact eigenfunctions (in every dimension). An application to Witten's approach for the proof of the Morse inequalities is given, as are recent results for the Schrödinger operator with periodic potentials.Lecture notes in mathematics (Springer-Verlag) ;1336.Schrödinger operatorDifferential equations, PartialAsymptotic theorySpectral theory (Mathematics)Schrödinger operator.Differential equations, PartialAsymptotic theory.Spectral theory (Mathematics)515.724Helffer Bernard52445MiAaPQMiAaPQMiAaPQBOOK996466478203316Semi-classical analysis for the Schrodinger operator and applications262250UNISA