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T R O T T ' S C O R N E R
Scattering States in a 2D Quantum Dot Embedded in a Waveguide
Michael Trott

The eigenfunctions belonging to the continuous spectrum of a circular quantum dot connected to two infinite strip-like wires are calculated using the mode-matching technique. The corresponding quantum-mechanical probability densities, currents, and transmission and reflection coefficients are calculated and visualized.

*Notebook


*PDF


*HTML

*Introduction

*Calculate Fourier Coefficients

*Matrix Construction

*Function and Gradient Values

*Measuring the Quality of the Solution

*Example Solution

*3D Plots of the Scattering States

*Contour Plots

*Current Plots

*Make Streamlines

*Energy-Dependent Transmission

*Energy-Dependent Eigenfunctions

*Summary

*References

*Additional Material

Michael Trott
Special Functions Developer
Wolfram Research, Inc.
mtrott@wolfram.com


     
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