Mathematical modeling of quantum well potentials via generalized Darboux transformations

Mathematical modeling of quantum well potentials via generalized Darboux transformations

The Darboux transformation operator technique is applied to the generalized Schrodinger equation with a position-dependent effective mass and with linearly energy-dependent potentials. It is shown how to construct the quantum well potentials in nanoelectronic with a given spectrum. The method is ill...

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Veröffentlicht in:Physics of particles and nuclei letters 2011-09, Vol.8 (5), p.458-462
Hauptverfasser: Suzko, A. A., Velicheva, E. P.
Format: Artikel
Sprache:eng
Schlagworte:
Particle and Nuclear Physics
Physics
Physics and Astronomy
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Zusammenfassung:The Darboux transformation operator technique is applied to the generalized Schrodinger equation with a position-dependent effective mass and with linearly energy-dependent potentials. It is shown how to construct the quantum well potentials in nanoelectronic with a given spectrum. The method is illustrated by several examples.
ISSN:1547-4771
1531-8567
DOI:10.1134/S1547477111050207