Some exact solutions of the Schrödinger--Poisson system in spaces of constant sectional curvature
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911284631437312 |
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| author | Chapling, Richard |
| author_facet | Chapling, Richard |
| contents | We consider the Schrödinger--Poisson system on the complete, simply-connected Riemannian manifolds of constant sectional curvature. We obtain closed-form stationary spherically-symmetric solutions for the homogeneous equations for certain dimensions, and give some basic examples of solutions with a nonzero background. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19873 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some exact solutions of the Schrödinger--Poisson system in spaces of constant sectional curvature Chapling, Richard Mathematical Physics 35C05 (Primary) 35C08, 35G50, 35J10, 35Q40, 35R01, 58J05 (Secondary) We consider the Schrödinger--Poisson system on the complete, simply-connected Riemannian manifolds of constant sectional curvature. We obtain closed-form stationary spherically-symmetric solutions for the homogeneous equations for certain dimensions, and give some basic examples of solutions with a nonzero background. |
| title | Some exact solutions of the Schrödinger--Poisson system in spaces of constant sectional curvature |
| topic | Mathematical Physics 35C05 (Primary) 35C08, 35G50, 35J10, 35Q40, 35R01, 58J05 (Secondary) |
| url | https://arxiv.org/abs/2511.19873 |