Benvenuti nell'Anagrafe della Ricerca d'Ateneo
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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