58 citations · 146 across the 7 of their papers we have counts for
8 papers
Partial solvability induced by dark states in a box trap with decentered two-body interaction
Hossein Abedi, Nathan L. Harshman, Peter Schmelcher
We consider a generalization of the two-body contact interaction for nonrelativistic particles confined to a one-dimensional box, in which the interaction is decentered, i.e., the…
Beyond braid statistics: Constructing a lattice model for anyons with exchange statistics intrinsic to one dimension
Sebastian Nagies, Botao Wang, A. C. Knapp +2
Anyons obeying fractional exchange statistics arise naturally in two dimensions: hard-core two-body constraints make the configuration space of particles not simply-connected. The…
The dynamics of digits: Calculating pi with Galperin's billiards
X. M. Aretxabaleta, M. Gonchenko, N. L. Harshman +3
In Galperin billiards, two balls colliding with a hard wall form an analog calculator for the digits of the number . This classical, one-dimensional three-body system (counting…
Symmetry and Natural Quantum Structures for Three-Particles in One-Dimension
N. L. Harshman
How do symmetries induce natural and useful quantum structures? This question is investigated in the context of models of three interacting particles in one-dimension. Such models…
One-Dimensional Traps, Two-Body Interactions, Few-Body Symmetries: II. Particles
N. L. Harshman
This is the second in a pair of articles that classify the configuration space and kinematic symmetry groups for identical particles in one-dimensional traps experiencing Galil…
One-Dimensional Traps, Two-Body Interactions, Few-Body Symmetries: I. One, Two, and Three Particles
N. L. Harshman
This is the first in a pair of articles that classify the configuration space and kinematic symmetry groups for identical particles in one-dimensional traps experiencing Galile…
Tensor Product Structures, Entanglement, and Particle Scattering
N. L. Harshman, S. Wickramsekara
Particle systems admit a variety of tensor product structures (TPSs) depending on the complete system of commuting observables chosen for the analysis. Different notions of entangl…
Clebsch-Gordan Coefficients for the Extended Quantum-Mechanical Poincaré Group and Angular Correlations of Decay Products
N. L. Harshman, N. Licata
This paper describes Clebsch-Gordan coefficients (CGCs) for unitary irreducible representations (UIRs) of the extended quantum mechanical Poincaré group $\pt$. `Extended' refers to…