An analytical approach to the Schrodinger-Newton equations
In this paper we present the second part of a study of spherically-symmetric solutions of the Schrödinger-Newton equations for a single particle (Penrose R 1998 Quantum computation, entanglement and state reduction Phil. Trans. R. Soc. 356 1-13). We show that there exists an infinite family of norma...
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| Format: | Journal article |
| Language: | English |
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1999
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| author | Tod, P Moroz, I |
| author_facet | Tod, P Moroz, I |
| author_sort | Tod, P |
| collection | OXFORD |
| description | In this paper we present the second part of a study of spherically-symmetric solutions of the Schrödinger-Newton equations for a single particle (Penrose R 1998 Quantum computation, entanglement and state reduction Phil. Trans. R. Soc. 356 1-13). We show that there exists an infinite family of normalizable, finite energy solutions which are characterized by being smooth and bounded for all values of the radial coordinate. We therefore provide analytical support for our earlier numerical integrations (Moroz I M et al 1998 Spherically-symmetric solutions of the Schrödinger-Newton equations Classical and Quantum Gravity 1998 15 2733-42). |
| first_indexed | 2024-03-07T01:16:10Z |
| format | Journal article |
| id | oxford-uuid:8ec4d2d0-0a19-43dc-a217-608fcf1b17e2 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:16:10Z |
| publishDate | 1999 |
| record_format | dspace |
| spelling | oxford-uuid:8ec4d2d0-0a19-43dc-a217-608fcf1b17e22022-03-26T22:59:50ZAn analytical approach to the Schrodinger-Newton equationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8ec4d2d0-0a19-43dc-a217-608fcf1b17e2EnglishSymplectic Elements at Oxford1999Tod, PMoroz, IIn this paper we present the second part of a study of spherically-symmetric solutions of the Schrödinger-Newton equations for a single particle (Penrose R 1998 Quantum computation, entanglement and state reduction Phil. Trans. R. Soc. 356 1-13). We show that there exists an infinite family of normalizable, finite energy solutions which are characterized by being smooth and bounded for all values of the radial coordinate. We therefore provide analytical support for our earlier numerical integrations (Moroz I M et al 1998 Spherically-symmetric solutions of the Schrödinger-Newton equations Classical and Quantum Gravity 1998 15 2733-42). |
| spellingShingle | Tod, P Moroz, I An analytical approach to the Schrodinger-Newton equations |
| title | An analytical approach to the Schrodinger-Newton equations |
| title_full | An analytical approach to the Schrodinger-Newton equations |
| title_fullStr | An analytical approach to the Schrodinger-Newton equations |
| title_full_unstemmed | An analytical approach to the Schrodinger-Newton equations |
| title_short | An analytical approach to the Schrodinger-Newton equations |
| title_sort | analytical approach to the schrodinger newton equations |
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