In this paper we study the classical and quantum two freedoms Discrete Self-Trapping system by the Inverse Scattering Method. We develop the algebraic approach in terms of the classical r-matrix and quantum R-matrix and give an interpretation of the commutation relations in terms of Sklyanin's quadratic algebra. The quantization is then developed in detail and the first energy levels are obtained. The results are compared with those obtained from the quantization scheme of Scott and Eilbeck.
ALTERNATE QUANTIZATIONS OF THE DISCRETE SELF-TRAPPING DIMER
SALERNO, Mario;
1991-01-01
Abstract
In this paper we study the classical and quantum two freedoms Discrete Self-Trapping system by the Inverse Scattering Method. We develop the algebraic approach in terms of the classical r-matrix and quantum R-matrix and give an interpretation of the commutation relations in terms of Sklyanin's quadratic algebra. The quantization is then developed in detail and the first energy levels are obtained. The results are compared with those obtained from the quantization scheme of Scott and Eilbeck.File in questo prodotto:
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