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arXiv · quant-ph/9810033

Intertwining relations of non-stationary Schrödinger operators

F. Cannata·M. Ioffe·G. Junker·D. Nishnianidze
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Abstract

General first- and higher-order intertwining relations between non-stationary one-dimensional Schrödinger operators are introduced. For the first-order case it is shown that the intertwining relations imply some hidden symmetry which in turn results in a $R$-separation of variables. The Fokker-Planck and diffusion equation are briefly considered. Second-order intertwining operators are also discussed within a general approach. However, due to its complicated structure only particular solutions are given in some detail.

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F. Cannata, M. Ioffe, G. Junker, D. Nishnianidze. 1998-10-13. Intertwining relations of non-stationary Schrödinger operators. https://doi.org/10.1088/0305-4470%2F32%2F19%2F309

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