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RESEARCH PRODUCT
Multi-Resolution Analysis and Fractional Quantum Hall Effect: an Equivalence Result
Fabio Bagarellosubject
PhysicsFilling factorMulti resolution analysisInverseFOS: Physical sciencesStatistical and Nonlinear PhysicsLandau quantizationMathematical Physics (math-ph)Functional Analysis (math.FA)Mathematics - Functional AnalysisFractional quantum Hall effectFOS: MathematicsMathematical Physic46N50Wave functionEquivalence (measure theory)OrthonormalitySettore MAT/07 - Fisica MatematicaMathematical PhysicsMathematical physicsdescription
In this paper we prove that any multi-resolution analysis of $\Lc^2(\R)$ produces, for some values of the filling factor, a single-electron wave function of the lowest Landau level (LLL) which, together with its (magnetic) translated, gives rise to an orthonormal set in the LLL. We also give the inverse construction. Moreover, we extend this procedure to the higher Landau levels and we discuss the analogies and the differences between this procedure and the one previously proposed by J.-P. Antoine and the author.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-01-01 |