Розширений простiр станiв рацiональної sl(2) моделi годена в термiнах полiномiв лягера
We consider the rational Gaudin model with non-zero magnetic field, which physically corresponds to the central spin problem. The space of states is described in terms of separated variables. The states of a spin system are given by rational (up to an exponential factor) functions of these variables...
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| Datum: | 2018 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Publishing house "Academperiodika"
2018
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| Online Zugang: | https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018388 |
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| Назва журналу: | Ukrainian Journal of Physics |
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Ukrainian Journal of Physics| Zusammenfassung: | We consider the rational Gaudin model with non-zero magnetic field, which physically corresponds to the central spin problem. The space of states is described in terms of separated variables. The states of a spin system are given by rational (up to an exponential factor) functions of these variables on the Lagrangian submanifold. We build a representation of the sl(2) algebra of the model in terms of Laguerre polynomials and formulate the functional Bethe ansatz using it. |
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