Relations between multi-resolution analysis and quantum mechanics
Mathematical Physics
2009-11-13 v1 math.MP
Abstract
We discuss a procedure to construct multi-resolution analyses (MRA) of starting from a given {\em seed} function which should satisfy some conditions. Our method, originally related to the quantum mechanical hamiltonian of the fractional quantum Hall effect (FQHE), is shown to be model independent. The role of a canonical map between certain canonically conjugate operators is discussed. This clarifies our previous procedure and makes much easier most of the original formulas, producing a convenient framework to produce examples of MRA.
Cite
@article{arxiv.0904.0207,
title = {Relations between multi-resolution analysis and quantum mechanics},
author = {F. Bagarello},
journal= {arXiv preprint arXiv:0904.0207},
year = {2009}
}