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EnglishThe quantum inverse scattering method is used to solve the spectral problem of the discrete self-trapping dimer, in the case of both a quadratic and a linear r-matrix algebra representation. The first case is solved by the algebraic Bethe ansatz, while in the case of the linear r-matrix algebra we use the method of separation of variables. In this last case it is shown that the wave functions of the quantum discrete self-trapping dimer are related to the solutions of a Heun's type equation and that the system is equivalent to the two-site hyperbolic Gaudin magnet separable in elliptic coordinates.
http://hdl.handle.net/11386/3018943| Titolo: | ON THE QUANTUM INVERSE SCATTERING METHOD FOR THE DST DIMER |
| Autori interni: | SALERNO, Mario |
| Data di pubblicazione: | 1993 |
| Rivista: | PHYSICA D-NONLINEAR PHENOMENA |
| Abstract: | The quantum inverse scattering method is used to solve the spectral problem of the discrete self-trapping dimer, in the case of both a quadratic and a linear r-matrix algebra representation. The first case is solved by the algebraic Bethe ansatz, while in the case of the linear r-matrix algebra we use the method of separation of variables. In this last case it is shown that the wave functions of the quantum discrete self-trapping dimer are related to the solutions of a Heun's type equation and that the system is equivalent to the two-site hyperbolic Gaudin magnet separable in elliptic coordinates. |
| Handle: | http://hdl.handle.net/11386/3018943 |
| Appare nelle tipologie: | 1.1.2 Articolo su rivista con ISSN |
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