Calculating Resonance position and lifetime using MSES for piecewise 1-D potentials

This paper calculates the resonance states associated with various piecewise potentials. Studying these piecewise potentials is important for analyzing resonance states in heterostructures, semiconductor devices, double-barrier diodes, and understanding low-dimensional structures like quantum well devices. Due to potential not being analytical, for these problems complex scaling will not work, only smooth exterior scaling will work for such potentials. To provide improved outgoing boundary conditions compared to the Smooth Exterior Scaling (SES) method, Modified Smooth Exterior Scaling (MSES) has proven to be an efficient technique that eliminates artificial reflections. This methodology can also be applied in cases where analytical solutions are unattainable. In this paper, the metastable states corresponding to different piecewise potentials are calculated using the MSES method. The wave functions corresponding to these metastable states are computed and plotted for various resonance energies. Supplementary Material File (chem-asian_piecewise.pdf) - Download - 1.28 MB Information & Authors Information Version history Copyright This work is licensed under a Non Exclusive No Reuse License.

Authors Metrics & Citations Metrics Article Usage 223views 121downloads Citations Download citation Deepak Kumar, Aditya Gupta, Ashish Kumar Gupta. Calculating Resonance position and lifetime using MSES for piecewise 1-D potentials. Authorea. 23 November 2025. DOI: https://doi.org/10.22541/au.176390291.14805502/v1 DOI: https://doi.org/10.22541/au.176390291.14805502/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu.