343 citations · 534 across the 25 of their papers we have counts for
5 papers · 1 filter
A new way to classify 2D higher order quantum superintegrable systems
Bjorn K. Berntson, Ian Marquette, Willard Miller
We revise a method by Kalnins, Kress and Miller (2010) for constructing a canonical form for symmetry operators of arbitrary order for the Schrödinger eigenvalue equation $HΨ\equiv…
Multi-solitons of the half-wave maps equation and Calogero-Moser spin-pole dynamics
Bjorn K. Berntson, Rob Klabbers, Edwin Langmann
We consider the half-wave maps (HWM) equation which provides a continuum description of the classical Haldane-Shastry spin chain on the real line. We present exact multi-soliton so…
On the non-chiral intermediate long wave equation
Bjorn K. Berntson, Edwin Langmann, Jonatan Lenells
We study integrability properties of the non-chiral intermediate long wave equation recently introduced by the authors as a parity-invariant variant of the intermediate long wave e…
Toward Classification of 2nd Order Superintegrable Systems in 3-Dimensional Conformally Flat Spaces with Functionally Linearly Dependent Symmetry Operators
Bjorn K. Berntson, Ernest G. Kalnins, Willard Miller
We make significant progress toward the classification of 2nd order superintegrable systems on 3-dimensional conformally flat space that have functionally linearly dependent (FLD)…
Non-chiral Intermediate Long Wave equation and inter-edge effects in narrow quantum Hall systems
Bjorn K. Berntson, Edwin Langmann, Jonatan Lenells
We present a non-chiral version of the Intermediate Long Wave (ILW) equation that can model nonlinear waves propagating on two opposite edges of a quantum Hall system, taking into…