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

Takeru Hidaka, Fumio Hiroshima

研究成果: ジャーナルへの寄稿記事

1 引用 (Scopus)

抄録

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.

元の言語英語
記事番号1550015
ジャーナルReviews in Mathematical Physics
27
発行部数7
DOI
出版物ステータス出版済み - 8 19 2015

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Essential Self-adjointness
Self-adjointness
Momentum
momentum
Fock Space
Electrodynamics
quantum electrodynamics
radiation distribution
Bosons
bosons
Radiation
Denote
operators
Arbitrary
Operator
Model

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

これを引用

Self-adjointness of the semi-relativistic Pauli-Fierz Hamiltonian. / Hidaka, Takeru; Hiroshima, Fumio.

:: Reviews in Mathematical Physics, 巻 27, 番号 7, 1550015, 19.08.2015.

研究成果: ジャーナルへの寄稿記事

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