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.

The Beat of a fuzzy drum: Fuzzy Bessel functions for the disc / Lizzi, Fedele; Vitale, Patrizia; Zampini, Alessandro. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - STAMPA. - 0509:(2005), pp. 080-080. [10.1088/1126-6708/2005/09/080]

The Beat of a fuzzy drum: Fuzzy Bessel functions for the disc

LIZZI, FEDELE;VITALE, PATRIZIA;ZAMPINI, ALESSANDRO
2005

Abstract

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.
2005
The Beat of a fuzzy drum: Fuzzy Bessel functions for the disc / Lizzi, Fedele; Vitale, Patrizia; Zampini, Alessandro. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - STAMPA. - 0509:(2005), pp. 080-080. [10.1088/1126-6708/2005/09/080]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/335591
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