Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.18184 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910615539286016 |
|---|---|
| author | Chevalier, Cyrille Khodja, Selma Youcef |
| author_facet | Chevalier, Cyrille Khodja, Selma Youcef |
| contents | The oscillator bases expansion stands as an efficient approximation method for the time-independent Schrödinger equation. The method, originally formulated with one non-linear variational parameter, can be extended to incorporate two such parameters. It handles both non- and semi-relativistic kinematics with generic two-body interactions. In the current work, focusing on systems of three identical bodies, the method is generalised to include the management of a given class of three-body forces. The computational cost of this generalisation proves to not exceed the one for two-body interactions. The accuracy of the generalisation is assessed by comparing with results from Lagrange mesh method and hyperspherical harmonic expansions. Extensions for systems of $N$ identical bodies and for systems of two identical particles and one distinct are also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18184 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Three-body Forces in Oscillator Bases Expansion Chevalier, Cyrille Khodja, Selma Youcef Quantum Physics The oscillator bases expansion stands as an efficient approximation method for the time-independent Schrödinger equation. The method, originally formulated with one non-linear variational parameter, can be extended to incorporate two such parameters. It handles both non- and semi-relativistic kinematics with generic two-body interactions. In the current work, focusing on systems of three identical bodies, the method is generalised to include the management of a given class of three-body forces. The computational cost of this generalisation proves to not exceed the one for two-body interactions. The accuracy of the generalisation is assessed by comparing with results from Lagrange mesh method and hyperspherical harmonic expansions. Extensions for systems of $N$ identical bodies and for systems of two identical particles and one distinct are also discussed. |
| title | Three-body Forces in Oscillator Bases Expansion |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2405.18184 |