An optimal lower bound for the low density Fermi gas in three dimensions
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911443961511936 |
|---|---|
| author | Giacomelli, Emanuela L. |
| author_facet | Giacomelli, Emanuela L. |
| contents | We consider the dilute Fermi gas in three dimensions interacting through a positive, radially symmetric, compactly supported and integrable potential in the thermodynamic limit. We establish a second order lower bound for the ground state energy density with an error term which is optimal in the sense that it matches the order of the next correction term conjectured by Huang-Yang in 1957. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_08904 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An optimal lower bound for the low density Fermi gas in three dimensions Giacomelli, Emanuela L. Mathematical Physics Quantum Gases We consider the dilute Fermi gas in three dimensions interacting through a positive, radially symmetric, compactly supported and integrable potential in the thermodynamic limit. We establish a second order lower bound for the ground state energy density with an error term which is optimal in the sense that it matches the order of the next correction term conjectured by Huang-Yang in 1957. |
| title | An optimal lower bound for the low density Fermi gas in three dimensions |
| topic | Mathematical Physics Quantum Gases |
| url | https://arxiv.org/abs/2410.08904 |