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A unified treatment of exactly solvable trigonometric potential models

机译:完全可解三角势模型的统一处理

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摘要

By choosing appropriate parameters in the five-parameter exponential-type potential model, we generate systematic exactly solvable trigonometric potentials. We show that the energy spectra of some well-known exactly solvable trigonometric potentials can be obtained from a general energy spectrum formula. It is also shown that the five-parameter exponential-type potential model contains all the second class of shape-invariant trigonometric potentials with eigenfunctions corresponding to hypergeometric functions.
机译:通过在五参数指数型电势模型中选择合适的参数,我们可以生成系统可精确求解的三角电势。我们表明,可以从一般的能谱公式获得一些众所周知的可完全解决的三角势能。还表明,五参数指数型势模型包含所有第二类形状不变的三角势,其特征函数对应于超几何函数。

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