论文标题
用磁场的二维相对论哈密顿人的热内核估计值
Heat kernel estimates for two-dimensional relativistic Hamiltonians with magnetic field
论文作者
论文摘要
我们研究由具有磁场的二维相对论哈密顿人产生的半群。特别是，对于紧凑的径向磁场，我们显示了相关的热内核的长时间行为如何取决于该场的通量。针对Aharonov-Bohm型磁场解决了类似的问题。
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.
