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La valutazione delle attività di ricerca che si svolgono nelle università ha assunto un'importanza rilevante sia per l'intero sistema universitario sia all'interno di ogni singolo ateneo. Roma Tre si è quindi dotata di idonei strumenti informativi in grado di supportare al meglio le azioni di monitoraggio e di valutazione delle attività di ricerca svolte nei propri dipartimentied ha realizzato una Anagrafe della Ricerca di Ateneo.
EnglishWe propose a mechanical (Hamiltonian) interpretation of the so-called spectrality property introduced by Sklyanin and Kuznetsov in the context of Backlund transformations (BTs) for finite-dimensional integrable systems. This property turns out to be deeply connected with the Hamilton-Jacobi separation of variables and can lead to the explicit integration of the corresponding model using the BTs. We show that once such a construction is given, we can interpret the Baxter Q-operator defining the quantum BTs as the Green's function or the propagator of the time-dependent Schrodinger equation for an interpolating Hamiltonian.
Ragnisco O, & Zullo F (2012). Quantum backlund transformations: Some ideas and examples. THEORETICAL AND MATHEMATICAL PHYSICS, 172(2), 1160-1171.
| Titolo: | Quantum backlund transformations: Some ideas and examples | |
| Autori: | ||
| Data di pubblicazione: | 2012 | |
| Rivista: | ||
| Citazione: | Ragnisco O, & Zullo F (2012). Quantum backlund transformations: Some ideas and examples. THEORETICAL AND MATHEMATICAL PHYSICS, 172(2), 1160-1171. | |
| Abstract: | We propose a mechanical (Hamiltonian) interpretation of the so-called spectrality property introduced by Sklyanin and Kuznetsov in the context of Backlund transformations (BTs) for finite-dimensional integrable systems. This property turns out to be deeply connected with the Hamilton-Jacobi separation of variables and can lead to the explicit integration of the corresponding model using the BTs. We show that once such a construction is given, we can interpret the Baxter Q-operator defining the quantum BTs as the Green's function or the propagator of the time-dependent Schrodinger equation for an interpolating Hamiltonian. | |
| Handle: | http://hdl.handle.net/11590/134628 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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