Around supersymmetry for semiclassical second order differential operators
Analysis of PDEs
2015-06-25 v2 Spectral Theory
Abstract
Let be a semiclassical scalar differential operator of order . The existence of a supersymmetric structure given by a matrix was exhibited in \cite{HeHiSj13} under rather general assumptions. In this note we give a sufficient condition on its coefficient so that the matrix enjoys some nice estimates with respect to the semiclassical parameter.
Cite
@article{arxiv.1506.02874,
title = {Around supersymmetry for semiclassical second order differential operators},
author = {Laurent Michel},
journal= {arXiv preprint arXiv:1506.02874},
year = {2015}
}