Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants

Research output: Contribution to journalArticle

45 Citations (Scopus)

Abstract

The Pauli-Fierz Hamiltonian describes a system of N electrons minimally coupled to a quantized radiation field. The electrons have spin and an ultraviolet cutoff is imposed on the quantized radiation field. For arbitrary values of coupling constants, self-adjointness and essential self-adjointness of the Pauli-Fierz Hamiltonian are proven by means of a functional integral.

Original languageEnglish
Pages (from-to)171-201
Number of pages31
JournalAnnales Henri Poincare
Volume3
Issue number1
DOIs
Publication statusPublished - Dec 3 2002

Fingerprint

Self-adjointness
radiation distribution
Radiation
Electron
Essential Self-adjointness
N electrons
Functional Integral
Arbitrary
Ultraviolet
electron spin
cut-off

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants. / Hiroshima, Fumio.

In: Annales Henri Poincare, Vol. 3, No. 1, 03.12.2002, p. 171-201.

Research output: Contribution to journalArticle

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