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Fractals and the Fock-Bargmann Representation of Coherent States

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Quantum Interaction (QI 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5494))

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Abstract

The self-similarity property of deterministic fractals is studied in the framework of the theory of entire analytical functions. The functional realization of fractals in terms of the q-deformed algebra of coherent states is presented. This sheds some light on the dynamical formation of fractals and provides some insight into the geometrical properties of coherent states. The global nature of fractals appears to emerge from coherent local deformation processes.

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica e Informatica and INFN, Università di Salerno, I-84100, Salerno, Italy

    Giuseppe Vitiello

Authors
  1. Giuseppe Vitiello
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Editor information

Editors and Affiliations

  1. Faculty of Science and Technology, Queensland University of Technology, GPO Box 2434, 4001, Brisbane, Australia

    Peter Bruza

  2. Naval Research Laboratory, Navy Center for Applied Research in Artificial Intelligence, 4555 Overlook Avenue S.W, DC 20375, Washington, USA

    Donald Sofge

  3. Paine College, 1235 15th Street, P.O. Box, GA 30901-3182, Augusta, USA

    William Lawless

  4. Department of Computing Science, University of Glasgow, 17 Lilybank Gardens, G12 8QQ, Glasgow, UK

    Keith van Rijsbergen

  5. German Research Center for Artificial Intelligence, Stuhlsatzenhausweg 3, 66123, Saarbrücken, Germany

    Matthias Klusch

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© 2009 Springer-Verlag Berlin Heidelberg

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Vitiello, G. (2009). Fractals and the Fock-Bargmann Representation of Coherent States . In: Bruza, P., Sofge, D., Lawless, W., van Rijsbergen, K., Klusch, M. (eds) Quantum Interaction. QI 2009. Lecture Notes in Computer Science(), vol 5494. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00834-4_3

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  • DOI: https://doi.org/10.1007/978-3-642-00834-4_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00833-7

  • Online ISBN: 978-3-642-00834-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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