Antoine, J. P.; Bagarello, F. Wavelet-like orthonormal bases for the lowest Landau level. (English) Zbl 0867.42018 J. Phys. A, Math. Gen. 27, No. 7, 2471-2481 (1994). Summary: 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 \(L^2(\mathbb{R})\). We discuss in detail two relevant examples coming from wavelet analysis, the Haar and the Littlewood-Paley bases. Cited in 1 ReviewCited in 2 Documents MSC: 42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems 82D05 Statistical mechanics of gases Keywords:Haar basis; Littlewood-Paley basis; orthonormal bases; lowest Landau level; wavelet analysis PDFBibTeX XMLCite \textit{J. P. Antoine} and \textit{F. Bagarello}, J. Phys. A, Math. Gen. 27, No. 7, 2471--2481 (1994; Zbl 0867.42018) Full Text: DOI Link