Adiabatic Evolution and Shape Resonances

• Autore: Hitrik Michael
• Pubblicazione: Providence : , : American Mathematical Society, , 2022; ©2022
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (102 pages)
• Disciplina: 515/.7242; 515.7242
• Soggetto topico: Mathematical physics; Adiabatic invariants; Partial differential equations -- Qualitative properties of solutions -- Resonances; Partial differential equations -- Elliptic equations and systems -- Schrödinger operator; Partial differential equations -- Spectral theory and eigenvalue problems -- Asymptotic distribution of eigenvalues and eigenfunctions; Partial differential equations -- Pseudodifferential operators and other generalizations of partial differential operators -- Pseudodifferential operators
• Classificazione: 35B3435J1035P2035S05
• Altri autori: MantileAndrea SjöstrandJohannes
• Sommario/riassunto: "Motivated by a problem of one mode approximation for a non-linear evolution with charge accumulation in potential wells, we consider a general linear adiabatic evolution problem for a semi-classical Schrodinger operator with a time dependent potential with a well in an island. In particular, we show that we can choose the adiabatic parameter with ln , where h denotes the semi-classical parameter, and get adiabatic approximations of exact solutions over a time interval of length N with an error O(). Here N 0 is arbitrary"--
• Titolo autorizzato: Adiabatic Evolution and Shape Resonances
• ISBN: 9781470472801; 1470472805
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910964406903321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society