Heat kernel estimates for two-dimensional relativistic Hamiltonians with magnetic field
Mathematical Physics
2020-11-30 v1 math.MP
Abstract
We study semigroups generated by two-dimensional relativistic Hamiltonians with magnetic field. In particular, for compactly supported radial magnetic field we show how the long time behaviour of the associated heat kernel depends on the flux of the field. Similar questions are addressed for Aharonov-Bohm type magnetic field.
Cite
@article{arxiv.2011.13828,
title = {Heat kernel estimates for two-dimensional relativistic Hamiltonians with magnetic field},
author = {Hynek Kovarik},
journal= {arXiv preprint arXiv:2011.13828},
year = {2020}
}