Semi-classical trace formulas and heat expansions
Mathematical Physics
2011-07-22 v3 math.MP
Spectral Theory
Abstract
in the recent paper [Journal of Physics A, 43474-0288 (2011)], B. Helffer and R. Purice compute the second term of a semi-classical trace formula for a Schr\"odinger operator with magnetic field. We show how to recover their formula by using the methods developped by the geometers in the seventies for the heat expansions.
Cite
@article{arxiv.1103.4461,
title = {Semi-classical trace formulas and heat expansions},
author = {Yves Colin De Verdière},
journal= {arXiv preprint arXiv:1103.4461},
year = {2011}
}
Comments
To appear in "Analysis of Partial Differential Equations"