Differential equation for the Uehling potential
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910352355098624 |
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| author | Frolov, Alexei M. |
| author_facet | Frolov, Alexei M. |
| contents | The second-order differential equation for the Uehling potential is derived explicitly. The right side of this differential equation is a linear combination of the two Macdonald's functions $K_{0}(b r)$ and $K_{1}(b r)$. This central potential is of great interest in many QED problems, since it describes the lowest-order correction for vacuum polarization in few- and many-electron atoms, ions, muonic and bi-muonic atoms/ions as well as in other similar systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03360 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Differential equation for the Uehling potential Frolov, Alexei M. Quantum Physics The second-order differential equation for the Uehling potential is derived explicitly. The right side of this differential equation is a linear combination of the two Macdonald's functions $K_{0}(b r)$ and $K_{1}(b r)$. This central potential is of great interest in many QED problems, since it describes the lowest-order correction for vacuum polarization in few- and many-electron atoms, ions, muonic and bi-muonic atoms/ions as well as in other similar systems. |
| title | Differential equation for the Uehling potential |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2402.03360 |