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19932018
most citedSolution of the Three--Anyon Problem

13 citations · 21 across the 4 of their papers we have counts for

collaborators

6 papers

cs.CR2018

A Multi-layer Recursive Residue Number System

Henk D. L. Hollmann, Ronald Rietman, Sebastiaan de Hoogh +2

We present a method to increase the dynamical range of a Residue Number System (RNS) by adding virtual RNS layers on top of the original RNS, where the required modular arithmetic…

math.RA2014★ 2 cited

The MMO problem

Oscar Garcia-Morchon, Ronald Rietman, Ludo Tolhuizen +2

We consider a two polynomials analogue of the polynomial interpolation problem. Namely, we consider the Mixing Modular Operations (MMO) problem of recovering two polynomials $f\in…

math.NT2014

Interpolation and Approximation of Polynomials in Finite Fields over a Short Interval from Noisy Values

Oscar Garcia-Morchon, Ronald Rietman, Igor E. Shparlinski +1

Motivated by a recently introduced HIMMO key distribution scheme, we consider a modification of the noisy polynomial interpolation problem of recovering an unknown polynomial $f(X)…

hep-th1995★ 4 cited

Anyon trajectories and the systematics of the three-anyon spectrum

Stefan Mashkevich, Jan Myrheim, Kåre Olaussen +1

We develop the concept of trajectories in anyon spectra, i.e., the continuous dependence of energy levels on the kinetic angular momentum. It provides a more economical and unified…

hep-th1994★ 13 cited

Solution of the Three--Anyon Problem

Stefan Mashkevich, Jan Myrheim, Kåre Olaussen +1

We solve, by separation of variables, the problem of three anyons with a harmonic oscillator potential. The anyonic symmetry conditions from cyclic permutations are separable in ou…

hep-th1993★ 2 cited

A Solvable Model for Intersecting Loops

Bernard Nienhuis, Ronald Rietman

We show that some models with non-local (and non-localizable) interactions have a property, called quasi-locality, which allows for the definition of a transfer matrix. We give the…