Mesoscopic System: Semiclassical vs Quantum
Mesoscale and Nanoscale Physics
2022-04-29 v2
Abstract
We explain a hierarchy of Friedel sum rule like formulas that help us understand response of mesoscopic systems to applied electric and magnetic fields. The formulas can be derived fully quantum mechanically and then there is a mathematical way to argue a semiclassical limit which may make the formulas practically relevant. But the mathematical prescription is not physically relevant in presence of a Fano resonance. A proper understanding of what exactly is the physical semiclassical limit is therefor not known and require future work.
Cite
@article{arxiv.2203.15300,
title = {Mesoscopic System: Semiclassical vs Quantum},
author = {Kanchan Meena and Prosenjit Singha Deo and A. M. Jayannavar},
journal= {arXiv preprint arXiv:2203.15300},
year = {2022}
}
Comments
7 pages, 1 figure. arXiv admin note: text overlap with arXiv:2112.09390