Reconstruction of full-space quantum Hamiltonian from its effective, energy-dependent model-space projection
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911057226760192 |
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| author | Znojil, Miloslav |
| author_facet | Znojil, Miloslav |
| contents | Reconstruction of a full-space quantum Hamiltonian from its effective Feshbach's model-space avatar is shown feasible. In a preparatory step the information carried by the effective Hamiltonian is compactified using a linear algebraic operation (matrix inversion). A ``universal'' coupled set of polynomial algebraic equations it then obtained. In a few simplest special cases their solution is given and discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22854 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reconstruction of full-space quantum Hamiltonian from its effective, energy-dependent model-space projection Znojil, Miloslav Quantum Physics Mathematical Physics Reconstruction of a full-space quantum Hamiltonian from its effective Feshbach's model-space avatar is shown feasible. In a preparatory step the information carried by the effective Hamiltonian is compactified using a linear algebraic operation (matrix inversion). A ``universal'' coupled set of polynomial algebraic equations it then obtained. In a few simplest special cases their solution is given and discussed. |
| title | Reconstruction of full-space quantum Hamiltonian from its effective, energy-dependent model-space projection |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2506.22854 |