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Journal of Nonlinear Mathematical Physics
Article . 2006 . Peer-reviewed
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Journal of Nonlinear Mathematical Physics
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Preprint . 2005
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Feynman-Jackson integrals

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2006Embargo end date: 01 Jan 2005 English Publisher:Springer Science and Business Media LLCJournal:Journal of Nonlinear Mathematical Physics, volume 13, page 365 (eissn: 1776-0852, Copyright policy )
Authors: Díaz, Rafael; Pariguan, Eddy;

doi: 10.2991/jnmp.2006.13.3.4 , 10.48550/arxiv.math/0508395

arXiv: math/0508395

Feynman-Jackson integrals

Abstract

We introduce perturbative Feynman integrals in the context of q-calculus generalizing the Gaussian q-integrals introduced by Diaz and Teruel. We provide analytic as well as combinatorial interpretations for the Feynman-Jackson integrals.

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Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), \(q\)-gamma functions, \(q\)-beta functions and integrals, Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.), Mathematics - Quantum Algebra, Quantum dynamics and nonequilibrium statistical mechanics (general), FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Top 10%
Top 10%
Average
Green
gold