一维量子力学中非线性超对称性的因式分解。II：约简定理的证明
Factorization of non-linear supersymmetry in one-dimensional Quantum Mechanics. II: proofs of theorems on reducibility
摘要：
本文继续研究一维量子力学中超对称变换分解为非奇异系数的初等达布变换链的问题。我们定义了一类在Darboux-Crum变换下不变的势，并证明了一些引理和定理，证实了以前关于谱等价变换的微分算子约化的公式。对一般情况的分析是与所有必要的证据。
英文摘要：
In this paper, we continue to study factorization of supersymmetric (SUSY) transformations in one-dimensional Quantum Mechanics into chains of elementary Darboux transformations with nonsingular coefficients. We define the class of potentials that are invariant under the Darboux - Crum transformations and prove a number of lemmas and theorems substantiating the formulated formerly conjectures on reducibility of differential operators for spectral equivalence transformations. Analysis of the general case is performed with all the necessary proofs.
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