论文标题

超对称性的半经典量化规则的精确性

Exactness of Semiclassical Quantization Rule for Broken Supersymmetry

论文作者

Gangopadhyaya, Asim, Bougie, Jonathan, Rasinariu, Constantin

论文摘要

半经典方法为近似量子力学中的解决方案提供了重要的工具。在某些情况下,这些方法是有趣而不是近似的,正如特定系统上的直接计算所示。在本文中,我们证明了断裂超对称性的基于超对称性的半经典量化条件的长结合精确性是相应电势的添加形状不变性的结果。

Semiclassical methods provide important tools for approximating solutions in quantum mechanics. In several cases these methods are intriguingly exact rather than approximate, as has been shown by direct calculations on particular systems. In this paper we prove that the long-conjectured exactness of the supersymmetry-based semiclassical quantization condition for broken supersymmetry is a consequence of the additive shape invariance for the corresponding potentials.

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