Communications in Mathematical Physics

, Volume 188, Issue 1, pp 233–249

On-Diagonal Estimates on Schrödinger Semigroup Kernels and Reduced Heat Kernels

  • Adam Sikora

DOI: 10.1007/s002200050163

Cite this article as:
Sikora, A. Comm Math Phys (1997) 188: 233. doi:10.1007/s002200050163

Abstract:

We prove various estimates for the kernels of semigroups generated by Schrödinger operators with magnetic field and potential of polynomial growth. We also investigate the reduced heat kernels.

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Adam Sikora
    • 1
  1. 1.Centre for Mathematics and its Applications, School of Mathematical Sciences, Australian National University, Canberra, ACT 0020, AustraliaAU