Quantum Eigenstates of Curved and Varying Cross-Sectional Waveguides

A simple one-dimensional differential equation in the centerline coordinate of an arbitrarily curved quantum waveguide with a varying cross section is derived using a combination of differential geometry and perturbation theory. The model can tackle curved quantum waveguides with a cross-sectional s...

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Bibliographic Details
Main Authors: Jens Gravesen, Morten Willatzen
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/10/20/7240