Intertwining relations of non-stationary Schrödinger operators

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.

18 pages, LaTeX209

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• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Schrödinger operators with complex potential but real spectrum
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