Semiclassical resonances for a two-level Schr\"odinger operator with a conical intersection
Analysis of PDEs
2007-05-23 v2 Spectral Theory
Abstract
We study the resonant set of a two-level Schr\"odinger operator with a linear conical intersection. This model operator can be decomposed into a direct sum of first order systems on the real half-line. For these ordinary differential systems we locally construct exact WKB solutions, which are connected to global solutions, amongst which are resonant states. The main results are a generalized Bohr-Sommerfeld quantization condition and an asymptotic description of the set of resonances as a distorted lattice.
Cite
@article{arxiv.math/0511724,
title = {Semiclassical resonances for a two-level Schr\"odinger operator with a conical intersection},
author = {S. Fujiie and C. Lasser and L. Nedelec},
journal= {arXiv preprint arXiv:math/0511724},
year = {2007}
}
Comments
45 pages 4 figures