Open Access
2012 Semiclassical trace formulas and heat expansions
Yves de Verdière
Anal. PDE 5(3): 693-703 (2012). DOI: 10.2140/apde.2012.5.693

Abstract

In a recent paper (J. Phys. A 43:47 (2011), 474028), B. Helffer and R. Purice compute the second term of a semiclassical trace formula for a Schrödinger operator with magnetic field. We show how to recover their formula by using the methods developed by Riemannian geometers in the seventies for heat expansions.

Citation

Download Citation

Yves de Verdière. "Semiclassical trace formulas and heat expansions." Anal. PDE 5 (3) 693 - 703, 2012. https://doi.org/10.2140/apde.2012.5.693

Information

Received: 18 April 2011; Revised: 11 June 2011; Accepted: 11 July 2011; Published: 2012
First available in Project Euclid: 20 December 2017

zbMATH: 1264.35156
MathSciNet: MR2994510
Digital Object Identifier: 10.2140/apde.2012.5.693

Subjects:
Primary: 35P20 , 35S05 , 58J35

Keywords: heat expansion , magnetic fields , synchronous gauge , trace formula

Rights: Copyright © 2012 Mathematical Sciences Publishers

Vol.5 • No. 3 • 2012
MSP
Back to Top