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

Autor:	Scoquart, T., Seaward, J. J., Jackson, S. G., Olshanii, M.
Rok vydání:	2016
Předmět:	Mathematical Physics Condensed Matter - Quantum Gases Nonlinear Sciences - Exactly Solvable and Integrable Systems
Zdroj:	SciPost Phys. 1, 005 (2016)
Druh dokumentu:	Working Paper
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. Comment: 9 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1608.04402 Zobrazit plný text záznamu View this record from Arxiv