Classical Grand Angular Momentum in N-Body Problems
Mathematical Physics
2025-06-12 v2 math.MP
Abstract
The concept of grand angular momentum is widely used in the study of N-body problems quantum mechanically. Here, we applied it to a classical analysis of N-body problems. Utilizing the tree representation for Jacobi and hyperspherical coordinates, we found a decomposition of its magnitude into magnitudes of one-body angular momenta in three dimensions. We generalized some results from the two-body case and derived a general expression for the scattering angle in N-body problems.
Keywords
Cite
@article{arxiv.2405.05233,
title = {Classical Grand Angular Momentum in N-Body Problems},
author = {Zhongqi Liang and Jesús Pérez-Ríos},
journal= {arXiv preprint arXiv:2405.05233},
year = {2025}
}
Comments
14 pages, 3 figures