Powered by OpenAIRE graph
Found an issue? Give us feedback
downloadFull-Text
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Archivio della Ricer...arrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
Archivio della Ricerca - Università di Roma Tor vergata
Article . 2006
Full-Text: https://art.torvergata.it/bitstream/2108/45898/1/A%20Quantum%20Approach%20to%20Laplacian%20Operators.pdf
Data sources: Archivio della Ricerca - Università di Roma Tor vergata
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
Archivio della Ricerca - Università di Roma Tor vergata
Article . 2006
Full-Text: http://hdl.handle.net/2108/45898
Data sources: Bielefeld Academic Search Engine (BASE)
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
Infinite Dimensional Analysis Quantum Probability and Related Topics
Article
Data sources: UnpayWall
Infinite Dimensional Analysis Quantum Probability and Related Topics
Article . 2006 . Peer-reviewed
Data sources: Crossref
Infinite Dimensional Analysis Quantum Probability and Related Topics
Article
Data sources: Microsoft Academic Graph
 View all 2 versions
Claim

This Research product is the result of merged Research products in OpenAIRE.

You have already added 0 works in your ORCID record related to the merged Research product.

A QUANTUM APPROACH TO LAPLACE OPERATORS

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2006 English Publisher:World Scientific Pub Co Pte LtJournal:Infinite Dimensional Analysis, Quantum Probability and Related Topics, volume 9, pages 215-248 (issn: 0219-0257, eissn: 1793-6306, Copyright policy )
Authors: ACCARDI, LUIGI; Barhoumi, A; Ouerdiane, H.;

doi: 10.1142/s0219025706002329

handle: 2108/45898

A QUANTUM APPROACH TO LAPLACE OPERATORS

Abstract

In this paper, a theory of stochastic processes generated by quantum extensions of Laplacians is developed. Representations of the associated heat semigroups are discussed by means of suitable time shifts. In particular the quantum Brownian motion associated to the Lévy–Laplacian is obtained as the usual Volterra–Gross Laplacian using the Cesàro Hilbert space as initial space of our process as well as multiplicity space of the associated white noise.

Related Organizations
Keywords

Markovian semigroup, Lie algebra, quantum Laplacian, Cesaro scalar product, Gel'fand triple, Settore MAT/06 - PROBABILITA' E STATISTICA MATEMATICA, Cesaro scalar product; Cesaro Hilbert space; distribution; Gel'fand triple; Lie algebra; Markovian semigroup; Wiener process; quantum shift; quantum heat flow; quantum Laplacian; quantum Levy Brownian motion; white noise, quantum Levy Brownian motion, distribution, quantum heat flow, Wiener proce, quantum shift, white noise, Cesaro Hilbert space

  • BIP!
    Impact byBIP!
    citations
    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).
    		 20
    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.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
Powered by OpenAIRE graph
Found an issue? Give us feedback
citations
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!
20
Average
Top 10%
Top 10%
Green
bronze