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Cylindrical Quantum Well with Position‐Dependent Mass
Author(s) -
PérezAlvarez R.,
ParraSantiago J. L.,
PajónSuarez P.
Publication year - 1988
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221470113
Subject(s) - transcendental equation , wave function , envelope (radar) , position (finance) , effective mass (spring–mass system) , physics , function (biology) , quantum , quantum well , boundary value problem , mathematical analysis , transcendental function , reduced mass , quantum mechanics , mathematics , differential equation , finance , evolutionary biology , telecommunications , laser , radar , computer science , economics , biology
Using the envelope function approximation and a one band model, the cylindrical quantum well with position‐dependent mass problem is studied. The boundary conditions to be fulfilled by the radial wave functions are deduced. The transcendental equation for the energy levels, the normalised wave functions, and the confinement are obtained in the flat band approximation considering a sectionally constant mass profile. Also numerical results for the GaAsAl 0.32 Ga 0.68 As cylindrical quantum well are reported.