Date : 2022
Type : Livre / Book
Langue / Language : anglais / English
ISBN : 978-1-4704-5421-0
EAN : 9781470454210
Équations aux dérivées partielles
Classification Dewey : 515/.7242
Collection : Memoirs of the American Mathematical Society / New York City : American Mathematical Society , 1950-
Résumé / Abstract : 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.