Intertwining relations of non-stationary Schrödinger operators

Details Intertwining relations of non-stationary Schrödinger operators Intertwining relations of non-stationary Schrödinger operators

1998-10-13

arxiv.org/abs/quant-ph/9810033v1

J.Phys.A32:3583-3598,1999

Physics

Quantum Physics

18 pages, LaTeX209

Scientific paper

10.1088/0305-4470/32/19/309

General first- and higher-order intertwining relations between non-stationary one-dimensional Schr\"odinger 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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