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Diagonalization of the infinite q-boson system
Abstract
We present a hierarchy of commuting operators in Fock space containing the q-boson Hamiltonian on Z and show that the operators in question are simultaneously diagonalized by Hall-Littlewood functions and have absolutely continuous spectrum. As an application, the n-particle scattering operator is computed explicitly. (C) 2014 Elsevier Inc. All rights reserved.
Más información
| Título según WOS: | Diagonalization of the infinite q-boson system |
| Título según SCOPUS: | Diagonalization of the infinite q-boson system |
| Título de la Revista: | JOURNAL OF FUNCTIONAL ANALYSIS |
| Volumen: | 266 |
| Número: | 9 |
| Editorial: | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Fecha de publicación: | 2014 |
| Página de inicio: | 5801 |
| Página final: | 5817 |
| Idioma: | English |
| Financiamiento/Sponsor: | Fondecyt, Anillo ACT/56 |
| URL: | http://linkinghub.elsevier.com/retrieve/pii/S0022123614000391 |
| DOI: |
10.1016/j.jfa.2014.01.021 |
| Notas: | ISI, SCOPUS - ISI |