The purpose of this article is to demonstrate that non-crystallographic reflection groups can be used to build new solvable quantum particle systems. We explicitly construct a one-parametric family of solvable four-body systems on a line, related to the symmetry of a regular icosahedron: in two distinct limiting cases the system is constrained to a half-line. We repeat the program for a 600-cell, a four-dimensional generalization of the regular three-dimensional icosahedron.
Cited by 6
Gomez et al., Traces of integrability in scattering of one-dimensional dimers on a barrier
New J. Phys. 21, 023008 (2019) [Crossref]
Harshman et al., Integrable Families of Hard-Core Particles with Unequal Masses in a One-Dimensional Harmonic Trap
Phys. Rev. X 7, 041001 (2017) [Crossref]
Minguzzi et al., Strongly interacting trapped one-dimensional quantum gases: Exact solution
4, 027102 (2022) [Crossref]
Liu et al., Mass-Imbalanced Atoms in a Hard-Wall Trap: An Exactly Solvable Model Associated with D6 Symmetry
iScience 22, 181 (2019) [Crossref]
Sowiński et al., One-dimensional mixtures of several ultracold atoms: a review
Rep. Prog. Phys. 82, 104401 (2019) [Crossref]
Huber et al., Morphology of three-body quantum states from machine learning
New J. Phys. 23, 065009 (2021) [Crossref]
Ontology / TopicsSee full Ontology or Topics database.
Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 2 Thibault Scoquart,
- 1 Joseph J. Seaward,
- 1 Steven Glenn Jackson,
- 1 Maxim Olshanii