On the semi-classical analysis of the ground state energy of the Dirichlet Pauli operator

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskrift

Abstract

We complete and improve the results of a recent paper by Ekholm, Kovařík and Portmann in connection with a question of C. Guillarmou about the semiclassical expansion of the lowest eigenvalue of the Pauli operator with Dirichlet conditions. We exhibit connections with the properties of the torsion function in mechanics, the exit time of a Brownian motion and the analysis of the low eigenvalues of some Witten Laplacian.

Detaljer

Författare
Enheter & grupper
Externa organisationer
  • University of Nantes
  • University of Paris-Sud
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematisk analys

Nyckelord

Originalspråkengelska
Sidor (från-till)138–153
TidskriftJournal of Mathematical Analysis and Applications
Volym449
Utgivningsnummer1
StatusPublished - 2017
PublikationskategoriForskning
Peer review utfördJa