Explicitly correlated Gaussians with tensor pre-factors: analytic matrix elements
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909311192530944 |
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| author | Fedorov, D. V. Teilmann, A. F. Østerlund, M. C. Norrbohm, T. L. |
| author_facet | Fedorov, D. V. Teilmann, A. F. Østerlund, M. C. Norrbohm, T. L. |
| contents | We consider a specific form of explicitly correlated Gaussians -- with tensor pre-factors -- which appear naturally when dealing with certain few-body systems in nuclear and particle physics. We derive analytic matrix elements with these Gaussians -- overlap, kinetic energy, and Coulomb potential -- to be used in variational calculations of those systems. We also perform a quick test of the derived formulae by applying them to p- and d-waves of the hydrogen atom. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17221 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Explicitly correlated Gaussians with tensor pre-factors: analytic matrix elements Fedorov, D. V. Teilmann, A. F. Østerlund, M. C. Norrbohm, T. L. Nuclear Theory We consider a specific form of explicitly correlated Gaussians -- with tensor pre-factors -- which appear naturally when dealing with certain few-body systems in nuclear and particle physics. We derive analytic matrix elements with these Gaussians -- overlap, kinetic energy, and Coulomb potential -- to be used in variational calculations of those systems. We also perform a quick test of the derived formulae by applying them to p- and d-waves of the hydrogen atom. |
| title | Explicitly correlated Gaussians with tensor pre-factors: analytic matrix elements |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2407.17221 |