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DC Field | Value | Language |
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dc.contributor.author | Winter, M | - |
dc.contributor.author | Wei, J | - |
dc.coverage.spatial | 34 | en |
dc.date.accessioned | 2009-01-20T18:12:50Z | - |
dc.date.available | 2009-01-20T18:12:50Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | Journal of Mathematical Physics. 50 (1) | en |
dc.identifier.issn | 0022-2488 | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/2972 | - |
dc.description.abstract | We study concentrated bound states of the Schrodinger-Newton equations Moroz, Penrose and Tod proved the existence and uniqueness of ground states. We first prove that the linearized operator around the unique ground state radial solution has a kernel whose dimension is exactly 3 (correspondingto the translational modes). Using this result we further show: If for some positive integer K the points P_i in R^3, i=1,2,...,K$ with P_i\not=P_j for i\not=j are all local minimum or local maximum or nondegenerate critical points of the reduced energy function then forn h small enough there exist solutions of the Schrodinger-Newton equations with K bumps which concentrate at P_i. We also prove that given a local maximum point P_0 of the reduced energy there exists a solution with K bumps which all concentrate at P_0 and whose distances to P_0 are at least O(h^(1/3)) | en |
dc.format.extent | 297234 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | American Institute of Physics | en |
dc.subject | Schrodinger-Newton equations | en |
dc.subject | strong interaction | en |
dc.subject | semi-classical limit | en |
dc.subject | dimension of the kernel | en |
dc.subject | multi-bump states | en |
dc.subject | Liapunov-Schmidt reduction | en |
dc.title | Strongly interacting bumps for the schrodinger-newton equations | en |
dc.type | Research Paper | en |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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