Exactly solvable quantum few-body systems associated with the symmetries of the three-dimensional and four-dimensional icosahedra

Autor: T. Scoquart, J. J. Seaward, S. G. Jackson, M. Olshanii
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: SciPost Physics, Vol 1, Iss 1, p 005 (2016)
Druh dokumentu: article
ISSN: 2542-4653
DOI: 10.21468/SciPostPhys.1.1.005
Popis: 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.
Databáze: Directory of Open Access Journals