Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502732 | Journal of Mathematical Analysis and Applications | 2005 | 30 Pages |
Abstract
where h(y) is a 2Ã2 real symmetric matrix. Near a local minimum of an electron level E(y) that is not at a level crossing, we construct quasimodes that are exponentially accurate in the square of the Born-Oppenheimer parameter É by optimal truncation of the Rayleigh-Schrödinger series. That is, we construct EÉ and ΨÉ, such that âΨÉâ=O(1) and â(H(É)âEÉ)ΨÉâ<Îexp(âÎ/É2), where Î>0.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
George A. Hagedorn, Julio H. Toloza,