Published September 2005
| Version v1
Journal article
The beat of a fuzzy drum: fuzzy Bessel functions for the disc
- 1. INFN, Sezione di Napoli, Monte S. Angelo, via Cintia, 80126 Naples (Italy)
- 2. Dipartimento di Scienze Fisiche, Universita di Napoli Federico II (Italy)
Description
The fuzzy disc is a matrix approximation of the functions on a disc which preserves rotational symmetry. In this paper we introduce a basis for the algebra of functions on the fuzzy disc in terms of the eigenfunctions of a properly defined fuzzy laplacian. In the commutative limit they tend to the eigenfunctions of the ordinary laplacian on the disc, i.e. Bessel functions of the first kind, thus deserving the name of fuzzy Bessel functions
Availability note (English)
Available online at http://stacks.iop.org/1126-6708/2005/i=09/a=080/jhep092005080.pdf or at the Web site for the Journal of High Energy Physics (ISSN 1029-8479) http://www.iop.org/Additional details
Identifiers
Publishing Information
- Journal Title
- Journal of High Energy Physics
- Journal Volume
- 2005
- Journal Issue
- 09
- Journal Page Range
- p. 080
- ISSN
- 1126-6708
INIS
- Country of Publication
- Italy
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37051993
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ALGEBRA; APPROXIMATIONS; BESSEL FUNCTIONS; EIGENFUNCTIONS; LAPLACIAN; SYMMETRY
- Descriptors DEC
- CALCULATION METHODS; FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICS