2015/06/09 by Laurent Michel, Michel, Laurent
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math.AP #math.SP
paper · pdf · doi:10.48550/arxiv.1506.02874
openalex publication_date 2015/06/09 · arxiv created 2015/06/24 · arxiv updated 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let P(h),h∈]0,1] be a semiclassical scalar differential operator of order 2. The existence of a supersymmetric structure given by a matrix G(x;h) was exhibited in \citeHeHiSj13 under rather general assumptions. In this note we give a sufficient condition on its coefficient so that the matrix G(x;h) enjoys some nice estimates with respect to the semiclassical parameter.