Exactly solvable quantum few-body systems associated with the symmetries of the three-dimensional and four-dimensional icosahedra
Abstract
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 600600-cell, a four-dimensional generalization of the regular three-dimensional icosahedron.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Oct 23, 2016
- Source ID
- 10.21468/scipostphys.1.1.005
Entities
People
- Joseph Seaward
- Maxim Olshanii
- Steven Glenn Jackson
- Thibault Scoquart
Organizations
- Institut Francilien de Recherche sur les Atomes Froids
- National Science Foundation
- Office of Naval Research
- University of Massachusetts Boston
- École Normale Supérieure