Self-adjointness of the semi-relativistic Pauli-Fierz Hamiltonian

Takeru Hidaka, Fumio Hiroshima

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

The spinless semi-relativistic Pauli-Fierz Hamiltonian H= (p o×1-A)2+M2+Vo× 1+1o×Hf, in quantum electrodynamics is considered. Here p denotes a momentum operator, A a quantized radiation field, M ≥ 0, Hf the free Hamiltonian of a Boson Fock space and V an external potential. The self-adjointness and essential self-adjointness of H are shown. It is emphasized that it includes the case of M = 0. Furthermore, the self-adjointness and the essential self-adjointness of the semi-relativistic Pauli-Fierz model with a fixed total momentum P εd: H(P) = s(P P f - A(0))2 + M2 + Hf, M ≥ 0 is also proven for arbitrary P.

Original languageEnglish
Article number1550015
JournalReviews in Mathematical Physics
Volume27
Issue number7
DOIs
Publication statusPublished - Aug 19 2015

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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