论文标题

从兰伯特 - W功能方面,恰好可溶解的量子系统

Exactly-solvable quantum systems in terms of Lambert-W functions

论文作者

Schulze-Halberg, A., Ishkhanyan, A. M.

论文摘要

我们构建了各种可溶解的新量子系统,其电位是根据兰伯特 - W函数给出的。特别是,我们生成具有能量依赖电势的Schrödinger模型,使用超对称形式主义的常规Schrödinger模型和二维DIRAC系统。此外,我们为Lambert-W函数提供了Wronskian积分公式。

We construct a variety of new exactly-solvable quantum systems, the potentials of which are given in terms of Lambert-W functions. In particular, we generate Schrödinger models with energy-dependent potentials, conventional Schrödinger models using the supersymmetry formalism, and two-dimensional Dirac systems. In addition, we derive Wronskian integral formulas for Lambert-W functions.

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