Pauli-Fierz model with Kato-class potentials and exponential decays

Takeru Hidaka, Fumio Hiroshima

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Generalized PauliFierz Hamiltonian with Kato-class potential KPF in nonrelativistic quantum electrodynamics is defined and studied by a path measure. KPF is defined as the self-adjoint generator of a strongly continuous one-parameter symmetric semigroup and it is shown that its bound states spatially exponentially decay pointwise and the ground state is unique.

Original languageEnglish
Pages (from-to)1181-1208
Number of pages28
JournalReviews in Mathematical Physics
Volume22
Issue number10
DOIs
Publication statusPublished - Nov 1 2010

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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