Extension of the Sp(2,C) group for description of a three-body system

• Published in: Вопросы атомной науки и техники
• Date: 2012
• Main Authors: Yaroshenko, A.P., Uvarov, I.V.
• Format: Article
• Language: English
• Published: Dnipropetrovsk National University 2012
• Subjects: Section C. Theory of Elementary Particles. Cosmology
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/107057
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Extension of the Sp(2,C) group for description of a three-body system / A.P. Yaroshenko, I.V. Uvarov // Вопросы атомной науки и техники. — 2012. — № 1. — С. 163-165. — Бібліогр.: 10 назв. — англ.

We propose a new approach to the three-body problem that is based on the extension of the Sp(2,C) group, which is the universal covering group for the Lorentz group, to the Sp(4,C) one. Angular momenta of the particles in the phase space of a system with an inner interaction are obtained. This resul...