Mesoscopic System: Semiclassical vs Quantum
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 formu...
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29-03-2022
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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. |
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AbstractList | 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. |
Author | Deo, Prosenjit Singha Jayannavar, A. M Meena, Kanchan |
Author_xml | – sequence: 1 givenname: Kanchan surname: Meena fullname: Meena, Kanchan – sequence: 2 givenname: Prosenjit Singha surname: Deo fullname: Deo, Prosenjit Singha – sequence: 3 givenname: A. M surname: Jayannavar fullname: Jayannavar, A. M |
BackLink | https://doi.org/10.48550/arXiv.2203.15300$$DView paper in arXiv |
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Snippet | 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... |
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SubjectTerms | Physics - Mesoscale and Nanoscale Physics |
Title | Mesoscopic System: Semiclassical vs Quantum |
URI | https://arxiv.org/abs/2203.15300 |
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