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- W2094541036 abstract "If the solution of the Schrodinger equation at one boundary joins smoothly to a plane wave, then from the knowledge of the logarithmic derivative of the wavefunction at the other boundary one can determine the potential between these two boundaries. A discrete method of solving the inverse problem for potentials of finite range is discussed where the frequency-dependent logarithmic derivative of the wavefunction is fitted at N points using Thiele's reciprocal difference method. This fit is compatible with the solution obtained from an asymmetric discrete form of the wave equation. By comparing the logarithmic derivatives found from the fit and calculated from the difference equation, one can determine the potential. The method has been tested on two exactly solvable problems." @default.
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- W2094541036 date "1981-09-01" @default.
- W2094541036 modified "2023-09-27" @default.
- W2094541036 title "An asymmetric form of the discrete Schrodinger equation with application to the inverse tunnelling problem" @default.
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- W2094541036 doi "https://doi.org/10.1088/0305-4470/14/9/017" @default.
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