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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2204.11330 |
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| _version_ | 1866911882610212864 |
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| author | Ho, C. -L. Chou, C. -I. |
| author_facet | Ho, C. -L. Chou, C. -I. |
| contents | A simple semiclassical Hénon-Heiles model is constructed based on Dirac's time-dependent variational principle. We obtain an effective semiclassical Hamiltonian using a Hatree-type two-body trial wavefunction in the Jackiw-Kerman form. Numerical results show that quantum effects can in fact induce chaos in the non-chaotic regions of the classical Hénon-Heiles model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_11330 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Quantum chaos and Hénon-Heiles model: Dirac's variational approach with Jackiw-Kerman function Ho, C. -L. Chou, C. -I. Quantum Physics Chaotic Dynamics A simple semiclassical Hénon-Heiles model is constructed based on Dirac's time-dependent variational principle. We obtain an effective semiclassical Hamiltonian using a Hatree-type two-body trial wavefunction in the Jackiw-Kerman form. Numerical results show that quantum effects can in fact induce chaos in the non-chaotic regions of the classical Hénon-Heiles model. |
| title | Quantum chaos and Hénon-Heiles model: Dirac's variational approach with Jackiw-Kerman function |
| topic | Quantum Physics Chaotic Dynamics |
| url | https://arxiv.org/abs/2204.11330 |