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I. M. Gel’fand and B. M. Levitan, “On the Determination of a Differential Equation from Its Spectrum Function Izv. Akad. Nauk SSSR Ser. Mat.,” Vol. 15, No. 4, 1951, pp. 309-360.

has been cited by the following article:

• TITLE: “Smart Design” of Quantum Wells and Double-Quantum Wells Structures

  AUTHORS: Igor Tralle, Klaudiusz Majchrowski

  KEYWORDS: Inverse Scattering Problem Method; Quantum Wells and Superlattices; Predetermined Energy Spectrum; Bargmann Reflectionless Potentials

  JOURNAL NAME: World Journal of Condensed Matter Physics, Vol.4 No.1, February 13, 2014

  ABSTRACT: In the work, we propose an approach to “smart design” of heterostructures (quantum wells and superlattices) based on the combination of Inverse Scattering Problem Method and the direct solution of the eigenvalue problem for the Schr?dinger equation with reconstructed potentials. Potential shape reconstructed in this way can be substituted then by some approximation, so that the output spectrum obtained by solving the Schr?dinger equation with such approximated potential, differs only slightly from the input one. In our opinion, the approach can be used in many applications, for instance, for developing the new electronic devices such as tunable THz detectors.