Classical Grand Angular Momentum in N-Body Problems
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912422900531200 |
|---|---|
| author | Liang, Zhongqi Pérez-Ríos, Jesús |
| author_facet | Liang, Zhongqi Pérez-Ríos, Jesús |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05233 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classical Grand Angular Momentum in N-Body Problems Liang, Zhongqi Pérez-Ríos, Jesús Mathematical Physics 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. |
| title | Classical Grand Angular Momentum in N-Body Problems |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2405.05233 |