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


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