Comment on "Revisiting the divergent multipole expansion of atom-surface interactions: Hydrogen and positronium, $α$-quartz, and physisorption" (arXiv:2308.04656v3)
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arXiv
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| Natura: | Preprint |
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2025
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| _version_ | 1866909465621561344 |
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| author | Klimchitskaya, G. L. |
| author_facet | Klimchitskaya, G. L. |
| contents | Recently U. D. Jentschura [Phys. Rev. A $\bf 109$, 012802 (2024)] rederived the multipole corrections to the dipole part of the atom-wall interaction described by the Lifshitz theory using the concept of volume dielectric permittivity. These corrections were computed for the hydrogen and positronium atoms in close proximity to the $α$-quartz wall and claimed to be numerically significant within the short-range regime. Here, it is shown that the application areas of the obtained expressions both in the short-and long-range asymptotic regimes are indicated incorrectly, in contradiction with those dictated by the Lifshitz theory. As a result, within the valid application areas, all multipole corrections to the Casimir-Polder dipole part of the atom-wall interaction turned out to be negligibly small. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14803 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Comment on "Revisiting the divergent multipole expansion of atom-surface interactions: Hydrogen and positronium, $α$-quartz, and physisorption" (arXiv:2308.04656v3) Klimchitskaya, G. L. Atomic Physics Recently U. D. Jentschura [Phys. Rev. A $\bf 109$, 012802 (2024)] rederived the multipole corrections to the dipole part of the atom-wall interaction described by the Lifshitz theory using the concept of volume dielectric permittivity. These corrections were computed for the hydrogen and positronium atoms in close proximity to the $α$-quartz wall and claimed to be numerically significant within the short-range regime. Here, it is shown that the application areas of the obtained expressions both in the short-and long-range asymptotic regimes are indicated incorrectly, in contradiction with those dictated by the Lifshitz theory. As a result, within the valid application areas, all multipole corrections to the Casimir-Polder dipole part of the atom-wall interaction turned out to be negligibly small. |
| title | Comment on "Revisiting the divergent multipole expansion of atom-surface interactions: Hydrogen and positronium, $α$-quartz, and physisorption" (arXiv:2308.04656v3) |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2501.14803 |