可平面化的超对称量子滑降
Planarizable Supersymmetric Quantum Toboggans
摘要：
在超对称量子力学中，奇点的出现可能导致伙伴势之间等谱性的破坏。正则化方法之一是基于坐标线$x$的拓扑非平凡的多片复杂变形，给出了所谓的量子滑降模型（QTM）。简要回顾了该配方的一致性理论背景。然后，某些超对称QTM对显示例外和可约化的非奇异常微分方程的双峰，又名。薛定谔方程包含一个加权能量$E\to EW(x)$，并生活在单一复平面上.
英文摘要：
In supersymmetric quantum mechanics the emergence of a singularity may lead to the breakdown of isospectrality between partner potentials. One of the regularization recipes is based on a topologically nontrivial, multisheeted complex deformations of the line of coordinate $x$ giving the so called quantum toboggan models (QTM). The consistent theoretical background of this recipe is briefly reviewed. Then, certain supersymmetric QTM pairs are shown exceptional and reducible to doublets of non-singular ordinary differential equations a.k.a. Sturm-Schrödinger equations containing a weighted energy $E\to EW(x)$ and living in single complex plane.
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