Exact analytical solutions to one-dimensional variable mass problems

Juan M. López R.

doi:10.1117/12.918430

19 May 2012 Exact analytical solutions to one-dimensional variable mass problems

Juan M. López R.

Proceedings Volume 8376, Photonic Microdevices/Microstructures for Sensing IV; 83760M (2012) https://doi.org/10.1117/12.918430
Event: SPIE Defense, Security, and Sensing, 2012, Baltimore, Maryland, United States

Abstract

An analysis of 1-dimensional quantum device is presented by comparing between two possible mathematical methods. The first is a continuous scheme where both the mass and the potential vary along the Z-axis, while the second one presents segmentation in three main sections where the mass remains constant along each phase. These analysis where made with the help of a Computer Algebra Software (CAS) due to its extensive mathematical development. A discussion about both schemes and its possible applications to photonic devices are presented.

Citation Download Citation

Juan M. López R. "Exact analytical solutions to one-dimensional variable mass problems", Proc. SPIE 8376, Photonic Microdevices/Microstructures for Sensing IV, 83760M (19 May 2012); https://doi.org/10.1117/12.918430

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