lnu.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
A generalized functional central limit theorem in quantum field theory and some examples of the variance
University of Tunis El Manar, Tunisia.
Linnaeus University, Faculty of Technology, Department of Mathematics.
2017 (English)In: Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications, ISSN 0167-8019, E-ISSN 1572-9036Article in journal (Refereed) Submitted
Abstract [en]

We prove a functional central limit theorem for additive functionals associated with the generalized Nelson Hamiltonian which is dened as a self adjoint operator consisting of a particle part, a boson part and an interaction. In this paper, the particle part is given, through a Bernstein function Ψ, by H(ψp) =ψ(-Δ) + V . As applications of our generalized theorem, we cite the classical and the relativistic cases proved in [?] and we obtain as new result the FCLT for the fractional case.

Place, publisher, year, edition, pages
2017.
Keyword [en]
Generalized Nelson model, Bernstein function, ground state, functional central limit theorems
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-61920OAI: oai:DiVA.org:lnu-61920DiVA: diva2:1085119
Available from: 2017-03-28 Created: 2017-03-28 Last updated: 2017-09-14

Open Access in DiVA

No full text

Search in DiVA

By author/editor
Majid, Achref
By organisation
Department of Mathematics
In the same journal
Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

Total: 6 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf