New bounds on the excess charge for atomic systems
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909884808691712 |
|---|---|
| author | Benguria, Rafael D. Gonzalez-Brantes, Juan Manuel Tubino, Trinidad |
| author_facet | Benguria, Rafael D. Gonzalez-Brantes, Juan Manuel Tubino, Trinidad |
| contents | In this manuscript, using a technique introduced by P.~T.~Nam in 2012 and the {\it Coulomb Uncertainty Principle}, we prove new bounds on the excess charge for non relativistic atomic systems, independent of the particle statistics. These new bounds are the best bounds to date for bosonic systems for all values of the atomic number $Z$ and they are also the best bounds for fermionic systems with $Z \le 26$ (i.e., up to the chemical element {\it iron}) |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_08328 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | New bounds on the excess charge for atomic systems Benguria, Rafael D. Gonzalez-Brantes, Juan Manuel Tubino, Trinidad Mathematical Physics 81V73, 81V45, 35A15, 35 A01 In this manuscript, using a technique introduced by P.~T.~Nam in 2012 and the {\it Coulomb Uncertainty Principle}, we prove new bounds on the excess charge for non relativistic atomic systems, independent of the particle statistics. These new bounds are the best bounds to date for bosonic systems for all values of the atomic number $Z$ and they are also the best bounds for fermionic systems with $Z \le 26$ (i.e., up to the chemical element {\it iron}) |
| title | New bounds on the excess charge for atomic systems |
| topic | Mathematical Physics 81V73, 81V45, 35A15, 35 A01 |
| url | https://arxiv.org/abs/2207.08328 |