Barrier penetration in a discrete-basis formalism
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916098014707712 |
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| author | Bertsch, G. F. Hagino, K. |
| author_facet | Bertsch, G. F. Hagino, K. |
| contents | The dynamics of a many-particle system are often modeled by mapping the Hamiltonian onto a Schrödinger equation. An alternative approach is to solve the Hamiltonian equations directly in a model space of many-body configurations. In a previous paper the numerical convergence of the two approaches was compared with a simplified treatment of the Hamiltonian representation. Here we extend the comparison to the nonorthogonal model spaces that would be obtained by the generator-coordinate method. With a suitable choice of the collective-variable grid, a configuration-interaction Hamiltonian can reproduce the Schrödinger dynamics very well. However, the method as implemented here requires that the barrier height is not much larger than the zero-point energy in the collective coordinates of the configurations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_10533 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Barrier penetration in a discrete-basis formalism Bertsch, G. F. Hagino, K. Nuclear Theory The dynamics of a many-particle system are often modeled by mapping the Hamiltonian onto a Schrödinger equation. An alternative approach is to solve the Hamiltonian equations directly in a model space of many-body configurations. In a previous paper the numerical convergence of the two approaches was compared with a simplified treatment of the Hamiltonian representation. Here we extend the comparison to the nonorthogonal model spaces that would be obtained by the generator-coordinate method. With a suitable choice of the collective-variable grid, a configuration-interaction Hamiltonian can reproduce the Schrödinger dynamics very well. However, the method as implemented here requires that the barrier height is not much larger than the zero-point energy in the collective coordinates of the configurations. |
| title | Barrier penetration in a discrete-basis formalism |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2401.10533 |