标题： 新的准可解势类、其精确可解极限及相关正交多项式 显示英文标题

标题： New classes of quasi-solvable potentials, their exactly-solvable limit and related orthogonal polynomials

摘要： 我们利用sl(2,R)形式体系，生成了几类新的拟可解椭圆势，在适当的极限下这些势变为完全可解的形式。 对于某些实值的势参数，我们得到了相应谱问题的精确解。 此外，我们还给出了与能量变量相关的正交多项式族的显式表达式。 显示英文摘要

摘要： We have generated, using an sl(2,R) formalism, several new classes of quasi-solvable elliptic potentials, which in the appropriate limit go over to the exactly solvable forms. We have obtained exact solutions of the corresponding spectral problems for some real values of the potential parameters. We have also given explicit expressions of the families of associated orthogonal polynomials in the energy variable.