Functional integral approach to semi-relativistic Pauli-Fierz models

研究成果: ジャーナルへの寄稿記事

8 引用 (Scopus)

抄録

By means of functional integrations spectral properties of semi-relativistic Pauli-Fierz HamiltoniansH=(p-αA)2+m2-m+V+Hrad in quantum electrodynamics are considered. Here p is the momentum operator, A a quantized radiation field on which an ultraviolet cutoff is imposed, V an external potential, Hrad the free field Hamiltonian and m ≥ 0 describes the mass of electron. Two self-adjoint extensions of a semi-relativistic Pauli-Fierz Hamiltonian are defined. The Feynman-Kac type formula of e -t H is given. A 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. All the results are independent of values of coupling constant α, and it is emphasized that m = 0 is included.

元の言語英語
ページ(範囲)784-840
ページ数57
ジャーナルAdvances in Mathematics
259
DOI
出版物ステータス出版済み - 7 10 2014

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Functional Integral
Ground State
Functional Integration
Self-adjointness
Self-adjoint Extension
Electrodynamics
Domination
Spectral Properties
Bound States
Ultraviolet
Momentum
Radiation
Decay
Electron
Operator
Model

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

これを引用

Functional integral approach to semi-relativistic Pauli-Fierz models. / Hiroshima, Fumio.

:: Advances in Mathematics, 巻 259, 10.07.2014, p. 784-840.

研究成果: ジャーナルへの寄稿記事

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