Classical Grand Angular Momentum in N-Body Problems

Zhongqi Liang; Jesús Pérez-Ríos

doi:10.1007/s00601-025-01996-8

Classical Grand Angular Momentum in N-Body Problems

Zhongqi Liang
, Jesús Pérez-Ríos

Physics and Astronomy

Stony Brook University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	25
Journal	Few-Body Systems
Volume	66
Issue number	2
DOIs	https://doi.org/10.1007/s00601-025-01996-8
State	Published - Jun 2025

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Classical Grand Angular Momentum in N-Body Problems

Abstract

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