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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.09664 |
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| _version_ | 1866913712224337920 |
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| author | Freese, Adam |
| author_facet | Freese, Adam |
| contents | Gravitational form factors are often interpreted as providing access to stresses inside hadrons, in particular through Fourier transforms of the form factors $D$ and $\bar{c}$. Some researchers, however, have expressed skepticism of this interpretation. I revisit the question, and argue that it is indeed appropriate to interpret these quantities as stress distributions. I consider the hydrogen atom's ground state as a familiar example, and use the pilot wave interpretation of quantum mechanics to give the distributions a clear meaning. A striking result is that $\bar{c}$ -- rather than $D$ -- quantifies the force law binding the system, which can be understood through Cauchy's first law of motion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_09664 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum stresses in the hydrogen atom Freese, Adam High Energy Physics - Phenomenology Nuclear Theory Quantum Physics Gravitational form factors are often interpreted as providing access to stresses inside hadrons, in particular through Fourier transforms of the form factors $D$ and $\bar{c}$. Some researchers, however, have expressed skepticism of this interpretation. I revisit the question, and argue that it is indeed appropriate to interpret these quantities as stress distributions. I consider the hydrogen atom's ground state as a familiar example, and use the pilot wave interpretation of quantum mechanics to give the distributions a clear meaning. A striking result is that $\bar{c}$ -- rather than $D$ -- quantifies the force law binding the system, which can be understood through Cauchy's first law of motion. |
| title | Quantum stresses in the hydrogen atom |
| topic | High Energy Physics - Phenomenology Nuclear Theory Quantum Physics |
| url | https://arxiv.org/abs/2412.09664 |