Diamagnetic inequalities for systems of nonrelativistic particles with a quantized field

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Abstract

By unitary transformations (gauge transformations, the Bogoliubov transformations) and the strong Trotter product formula, diamagnetic inequalities for the Pauli-Fierz model of quantum electrodynamics (QED) and the Nelson model are derived. In the Nelson model, the unitary transformation defines effective potentials. Moreover, the infimum of the spectrum of Hamiltonians for these models are estimated and some generalized Kato's inequalities are obtained.

Original languageEnglish
Pages (from-to)185-203
Number of pages19
JournalReviews in Mathematical Physics
Volume8
Issue number2
DOIs
Publication statusPublished - Jan 1 1996

Fingerprint

Unitary transformation
Strong Product
Product formula
Gauge Transformation
Effective Potential
Electrodynamics
quantum electrodynamics
Model
products

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Diamagnetic inequalities for systems of nonrelativistic particles with a quantized field. / Hiroshima, Fumio.

In: Reviews in Mathematical Physics, Vol. 8, No. 2, 01.01.1996, p. 185-203.

Research output: Contribution to journalArticle

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