Schrodinger maps and anti-ferromagnetic chains
We study the problem of restricting Schrödinger maps onto Lagrangian submanifolds. The restriction is imposed by an infinite constraining potential. We show that, in the limit, solutions of the Schrödinger map equations converge to solutions of generalized wave map equations. This result is applied...
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| Veröffentlicht in: | Communications in mathematical physics 2006-03, Vol.262 (2), p.299-315, Article 299 |
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| container_title | Communications in mathematical physics |
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| creator | SHATAH, Jalal CHONGCHUN ZENG |
| description | We study the problem of restricting Schrödinger maps onto Lagrangian submanifolds. The restriction is imposed by an infinite constraining potential. We show that, in the limit, solutions of the Schrödinger map equations converge to solutions of generalized wave map equations. This result is applied to the anti-ferromagnetic systems where we prove rigorously that the dynamics is governed by wave map equations into [inline-graphic not available: see fulltext]. |
| doi_str_mv | 10.1007/s00220-005-1490-7 |
| format | Article |
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| subjects | Exact sciences and technology Ferromagnetism Manifolds (mathematics) Mathematical analysis Mathematics Nonlinear dynamics and nonlinear dynamical systems Partial differential equations Physics Sciences and techniques of general use Statistical physics, thermodynamics, and nonlinear dynamical systems |
| title | Schrodinger maps and anti-ferromagnetic chains |
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