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Wavelet-like orthonormal bases for the lowest Landau level

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Antoine, Jean-Pierre [UCL] Bagarello, F.

As a first step in the description of a two-dimensional electron gas in a magnetic field, such as encountered in the fractional quantum Hall effect, we discuss a general procedure for constructing an orthonormal basis for the lowest Landau level, starting from an arbitrary orthonormal basis in L2(R). We discuss in detail two relevant examples coming from wavelet analysis, the Haar and the Littlewood-Paley bases.

Document type Article de périodique (Journal article) – Article de recherche
Publication date 1994
Language Anglais
Journal information "Journal of Physics A: Mathematical and General" - Vol. 27, no. 7, p. 2471-2481 (1994)
Peer reviewed yes
Publisher Iop Publishing Ltd (Bristol)
issn 0305-4470
Publication status Publié
Affiliation UCL
Links
Bibliographic reference Antoine, Jean-Pierre ; Bagarello, F.. Wavelet-like orthonormal bases for the lowest Landau level. In: Journal of Physics A: Mathematical and General, Vol. 27, no. 7, p. 2471-2481 (1994)
Permanent URL http://hdl.handle.net/2078.1/48719