Heat kernel estimates for two-dimensional relativistic Hamiltonians with magnetic field
Hynek Kovařík
Università degli Studi di Brescia, Italy
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Abstract
We study the long time behavior of the heat kernel generated by relativistic Hamiltonians with radial magnetic field. The main result of the paper shows how the magnetic field accelerates the pointwise decay of the heat kernel. The case of an Aharonov– Bohm magnetic field is discussed as well.