Numerical solution of the one-dimensional Schrodinger equation: application to heterostructures and superlattices

Stefano Bottacchi

doi:10.1117/12.24458

1 February 1991 Numerical solution of the one-dimensional Schrodinger equation: application to heterostructures and superlattices

Stefano Bottacchi

Author Affiliations +

Proceedings Volume 1362, Physical Concepts of Materials for Novel Optoelectronic Device Applications II: Device Physics and Applications; (1991) https://doi.org/10.1117/12.24458
Event: Physical Concepts of Materials for Novel Optoelectronic Device Applications, 1990, Aachen, Germany

Abstract

A nuraerical solution of the one dirriensional Schrodinger equation for an arbitrary potential profile has been conceived to be used within a transport model for semiconductor heterostructures and superlattices. This solution method achieves energy high resolution in the bound eigenstates numerical conputation this feature is particularly useful in analyzing superlattices structure where the periodic quantuni wells give rise to energy xainibands formation. The algorithni is capable to resolve between two consecutive eigenstates less than iO eV apart. This algorithm has been successfully iinplenented on a HP 340 desktop coTriputer.

Citation Download Citation

Stefano Bottacchi "Numerical solution of the one-dimensional Schrodinger equation: application to heterostructures and superlattices", Proc. SPIE 1362, Physical Concepts of Materials for Novel Optoelectronic Device Applications II: Device Physics and Applications, (1 February 1991); https://doi.org/10.1117/12.24458

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