Functional integral approach to semi-relativistic Pauli-Fierz models

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)784-840
Number of pages57
JournalAdvances in Mathematics
Volume259
DOIs
Publication statusPublished - Jul 10 2014

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Functional integral approach to semi-relativistic Pauli-Fierz models'. Together they form a unique fingerprint.

  • Cite this