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.
ON THE QUANTUM INVERSE SCATTERING METHOD FOR THE DST DIMER
SALERNO, Mario
1993-01-01
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.File in questo prodotto:
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