343 citations · 534 across the 25 of their papers we have counts for
11 papers · 1 filter
Conformal field theory, solitons, and elliptic Calogero--Sutherland models
Bjorn K. Berntson, Edwin Langmann, Jonatan Lenells
We construct a non-chiral conformal field theory (CFT) on the torus that accommodates a second quantization of the elliptic Calogero-Sutherland (eCS) model. We show that the CFT op…
Elliptic soliton solutions of the spin non-chiral intermediate long-wave equation
Bjorn K. Berntson, Edwin Langmann, Jonatan Lenells
We construct elliptic multi-soliton solutions of the spin non-chiral intermediate long-wave (sncILW) equation with periodic boundary conditions. These solutions are obtained by a s…
Periodic solutions of the non-chiral intermediate Heisenberg ferromagnet equation described by elliptic spin Calogero-Moser dynamics
Bjorn K. Berntson, Rob Klabbers
We present a class of periodic solutions of the non-chiral intermediate Heisenberg ferromagnet (ncIHF) equation, which was recently introduced by the authors together with Langmann…
Spin generalizations of the Benjamin-Ono equation
Bjorn K. Berntson, Edwin Langmann, Jonatan Lenells
We present new soliton equations related to the -type spin Calogero-Moser (CM) systems introduced by Gibbons and Hermsen. These equations are spin generalizations of the Benjami…
The non-chiral intermediate Heisenberg ferromagnet equation
Bjorn K. Berntson, Rob Klabbers, Edwin Langmann
We present and solve a soliton equation which we call the non-chiral intermediate Heisenberg ferromagnet (ncIHF) equation. This equation, which depends on a parameter , descri…
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…
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…
A new approach to analysis of 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…
Observation of PT phase transition in a simple mechanical system
Carl M. Bender, Bjorn K. Berntson, David Parker +1
If a Hamiltonian is PT symmetric, there are two possibilities: Either the eigenvalues are entirely real, in which case the Hamiltonian is said to be in an unbroken-PT-symmetric pha…