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.

中文翻译：

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根据朗伯-W 函数的可精确解的量子系统

我们构建了各种新的完全可解的量子系统，其势由 Lambert-W 函数给出。特别是，我们生成了具有能量依赖势的薛定谔模型、使用超对称形式主义的传统薛定谔模型和二维狄拉克系统。此外，我们推导出朗伯-W 函数的 Wronskian 积分公式。