TY - JOUR
T1 - Self-adjointness of the semi-relativistic Pauli-Fierz Hamiltonian
AU - Hidaka, Takeru
AU - Hiroshima, Fumio
N1 - Publisher Copyright:
© 2015 World Scientific Publishing Company.
Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 2015/8/19
Y1 - 2015/8/19
N2 - 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.
AB - 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.
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U2 - 10.1142/S0129055X15500154
DO - 10.1142/S0129055X15500154
M3 - Article
AN - SCOPUS:84942036320
SN - 0129-055X
VL - 27
JO - Reviews in Mathematical Physics
JF - Reviews in Mathematical Physics
IS - 7
M1 - 1550015
ER -