Embedded eigenvalues, localization and asymptotics of quantum field models: A functional integral approach

研究成果: Contribution to journalArticle査読

1 被引用数 (Scopus)

抄録

By means of functional integrals, a Hamiltonian of a system of a charged particle coupled to a quantized radiation field is investigated, it is the so called Pauli-Fierz model in nonrelativistic quantum electrodynamics. Embedded eigenvalues of the Hamiltonian with a singular external potential are studied and their multiplicities are estimated. The localization of a charge density of eigenvectors is considered. A partial trace of the semigroup generated by the Hamiltonian is defined and its classical limit, ℏ → 0, is discussed. Finally a nonrelativistic limit, c → ∞, is considered.

本文言語英語
ページ(範囲)351-375
ページ数25
ジャーナルJournal of Physics A: Mathematical and General
35
2
DOI
出版ステータス出版済み - 1 18 2002
外部発表はい

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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