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Heat kernel estimates for two-dimensional relativistic Hamiltonians with magnetic field

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Publication:2055117
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DOI10.4171/ECR/18-1/16MaRDI QIDQ2055117

Hynek Kovařík

Publication date: 3 December 2021

Full work available at URL: https://arxiv.org/abs/2011.13828


zbMATH Keywords

magnetic fieldheat kernelrelativistic Hamiltonian


Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger and Feynman-Kac semigroups (47D08)




Cites Work

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  • Heat kernels of two-dimensional magnetic Schrödinger and Pauli operators
  • Domination of semigroups and generalization of Kato's inequality
  • Remarks on Schrödinger operators with vector potentials
  • Schrödinger operators with magnetic fields. I: General interactions
  • PATH INTEGRAL REPRESENTATION FOR SCHRÖDINGER OPERATORS WITH BERNSTEIN FUNCTIONS OF THE LAPLACIAN
  • CONTINUITY PROPERTIES OF SCHRÖDINGER SEMIGROUPS WITH MAGNETIC FIELDS
  • A diamagnetic inequality for semigroup differences
  • Schrödinger operators with singular magnetic vector potentials
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