论文标题
在任意维度中的半古典膨胀的递归生成
Recursive Generation of The Semi-Classical Expansion in Arbitrary Dimension
论文作者
论文摘要
我们提出了一个递归过程，该过程基于传播器的较小时间扩展，以生成\ textit {量子动作}的半经典膨胀，以在任意维度中具有量子机械电位。在该方法中，我们使用光谱信息来自复杂$ t $平面的繁殖器的奇异性，该范围由$ i \ ve $处方和基本复杂分析来处理。此功能允许概括更高的维度。我们通过在非相关主义量子力学中提供简单示例来说明过程。
We present a recursive procedure, which is based on the small time expansion of the propagator, in order to generate a semi-classical expansion of the \textit{quantum action} for a quantum mechanical potential in arbitrary dimensions. In the method we use the spectral information emerges from the singularities of the propagator on the complex $t$ plane, which are handled by the $i\ve$ prescription and basic complex analysis. This feature allows for generalization to higher dimensions. We illustrate the procedure by providing simple examples in non-relativistic quantum mechanics.
