6533b7d3fe1ef96bd1260a93

RESEARCH PRODUCT

Relations between multi-resolution analysis and quantum mechanics

Fabio Bagarello

subject

WindowsPure mathematicsfast parallelMultiresolution analysisFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Quantum Hall effectMathematical Operatorshall effectsymbols.namesakeFractional quantum Hall effectLinear algebrasymbolsMathematical transformationsCanonical mapHamiltonian (quantum mechanics)Settore MAT/07 - Fisica MatematicaQuantumMathematical PhysicsMathematics

description

We discuss a procedure to construct multiresolution analyses (MRA) of L2 (R) starting from a given seed function h (s) which should satisfy some conditions. Our method, originally related to the quantum mechanical Hamiltonian of the fractional quantum Hall effect, 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. © 2005 American Institute of Physics.

yearjournalcountryeditionlanguage
2005-05-01
10.1063/1.1887924http://arxiv.org/abs/0904.0207