A weakly inhomogeneous vibrating membrane and the solotone effect in two dimensions
Journal of Inverse and Ill-posed Problems
April 2024
https://www.degruyter.com/document/doi/10.1515/jiip-2023-0061/html
Embedded Files
Multi-step quantum wells and the solotone effect
Mathematics Today
Published by the Institute of Mathematics and its Applications
June 2023
Associated files:
The original quantum potential resource (created by B Cameron Reed) is available here (although it is behind a paywall)
A modified version of the above, including position-dependent mass and Visual Basic macros, is available here
Here is a short video* explaining the above changes
Finally, here is the resource used to create Figures 3, 5, 7, 10 and 11 in the Mathematics Today article
* The video makes some references to a 'paper'. In fact, the details are provided here
Items 1, 2 and 4 should be downloaded as Excel files rather than run in a browser. Once downloaded, items 2 and 4 may need their file name extensions changing to .xlsm
Asymmetric quantum wells and the solotone effect: towards an inverse method
European Journal of Physics
2021
https://iopscience.iop.org/article/10.1088/1361-6404/ac247dL
The Accepted Manuscript is available free of charge from here
Applying the solotone inverse method to estimate thermophysical properties of bonds and to locate internal boundaries, including regions of porosity
Inverse Problems in Science and Engineering
2021
Open Access
https://www.tandfonline.com/doi/full/10.1080/17415977.2020.1790553
Inverse method identification of thermophysical properties based on solotone effect analysis for discontinuous Sturm-Liouville systems
Inverse Problems in Science and Engineering
2019
Open Access
https://www.tandfonline.com/doi/full/10.1080/17415977.2018.1553967
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