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Functional integral approach to semi-relativistic Pauli-Fierz models

Mathematical Physics 2014-02-28 v4 math.MP

Abstract

By means of functional integrations spectral properties of semi-relativistic Pauli-Fierz Hamiltonians in quantum electrodynamics is considered. Two self-adjoint extensions of a semi-relativistic Pauli-Fierz Hamiltonian are defined. An essential self-adjointness, a spatial decay of bound states, a Gaussian domination of the ground state and the existence of a measure associated with the ground state are shown.

Keywords

Cite

@article{arxiv.1304.4735,
  title  = {Functional integral approach to semi-relativistic Pauli-Fierz models},
  author = {Fumio Hiroshima},
  journal= {arXiv preprint arXiv:1304.4735},
  year   = {2014}
}

Comments

To be published in Adv in Math. Confused notations are revised