演講公告 90年4月9日 (星期一)

摘要

Quantum field theory of classical integrable systems is expected to be exactly integrable. However, some care must be taken in the quantization procedure in order to achieve quantum integrability, especially the infrared and ultraviolet divergences must be carefully regularized. The purpose of the talk is to illustrate the quantization problem of the Nonlinear Schrodinger Equation (NLSE) which is chosen just for pedagological reason. The complete integrability of the classical NLSE is formulated in terms of the action-angle variables via the key role played by a classical r-matreix. The classical rtt-relations can be quantized to become a quantum RTT-relations from which the quantum Hamiltonian is part of an infinite sequence of quantum conservation laws. Moreover, the QISM method can now be applied to get the Bethe Ansatz Equations for the energy levels of the Hamiltonian. Again, the symmetry played by classical r-matrix and the quantum R-matrix will be emphasized.