Multi-Resolution Analysis and Fractional Quantum Hall Effect: an Equivalence Result

Details Multi-Resolution Analysis and Fractional Quantum Hall Effect: an Equivalence Result Multi-Resolution Analysis and Fractional Quantum Hall Effect: an Equivalence Result

2001-05-03

arxiv.org/abs/math-ph/0105004v1

Physics

Mathematical Physics

Submitted to Journal Mathematical Physiscs

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Multi-Resolution Analysis and Fractional Quantum Hall Effect: an Equivalence Result does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Multi-Resolution Analysis and Fractional Quantum Hall Effect: an Equivalence Result, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multi-Resolution Analysis and Fractional Quantum Hall Effect: an Equivalence Result will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-477496