Magnetic calculus and semiclassical trace formulas
Bernard Helffer, Radu Purice
TL;DR
This paper explores how magnetic calculus can provide new insights into the coefficients of the trace expansion of magnetic Schrödinger operators, building on prior developments in magnetic analysis.
Contribution
It introduces a novel application of magnetic calculus to analyze the trace expansion coefficients of magnetic Schrödinger operators.
Findings
New expressions for trace coefficients derived using magnetic calculus
Enhanced understanding of spectral properties of magnetic Schrödinger operators
Connections established between magnetic calculus and trace formula coefficients
Abstract
The aim of these notes is to show how the magnetic calculus developed in \cite{MP, IMP1, IMP2, MPR, LMR} permits to give a new information on the nature of the coefficients of the expansion of the trace of a function of the magnetic Schr\"odinger operator whose existence was established in \cite{HR2}.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.