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arXiv · 2405.05233

Classical Grand Angular Momentum in N-Body Problems

Zhongqi Liang·Jesús Pérez-Ríos
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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.

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Zhongqi Liang, Jesús Pérez-Ríos. 2024-05-08. Classical Grand Angular Momentum in N-Body Problems. https://doi.org/10.1007/s00601-025-01996-8

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