On the Extended Hilbert Space in the theory of the multielectron atom
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909584059269120 |
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| author | Hopersky, Alexey N. Nadolinsky, Alexey M. Koneev, Rustam V. |
| author_facet | Hopersky, Alexey N. Nadolinsky, Alexey M. Koneev, Rustam V. |
| contents | The construction of the Extended Hilbert Space (EHS) is presented in the form of a direct sum of the spaces of vectors of finite and infinite norms as the main space in the mathematical formalism of quantum mechanics of a multielectron atom. On the example of constructing the analytical structure of the probability amplitude 1s - 3p of photoexcitation of a neon atom, the implementation of the EHS - construct for solving the equations of the self-consistent Hartree-Fock field is given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13329 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Extended Hilbert Space in the theory of the multielectron atom Hopersky, Alexey N. Nadolinsky, Alexey M. Koneev, Rustam V. Atomic Physics 00A81 The construction of the Extended Hilbert Space (EHS) is presented in the form of a direct sum of the spaces of vectors of finite and infinite norms as the main space in the mathematical formalism of quantum mechanics of a multielectron atom. On the example of constructing the analytical structure of the probability amplitude 1s - 3p of photoexcitation of a neon atom, the implementation of the EHS - construct for solving the equations of the self-consistent Hartree-Fock field is given. |
| title | On the Extended Hilbert Space in the theory of the multielectron atom |
| topic | Atomic Physics 00A81 |
| url | https://arxiv.org/abs/2504.13329 |