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High-Frequency Electromagnetic Emission from Non-Local Wavefunctions

Faculty of Science and Technology, Free University of Bozen-Bolzano, 39100 Bolzano, Italy
Appl. Sci. 2019, 9(10), 1982;
Received: 16 April 2019 / Revised: 8 May 2019 / Accepted: 9 May 2019 / Published: 15 May 2019
(This article belongs to the Special Issue Quantum Optics for Fundamental Quantum Mechanics)
PDF [306 KB, uploaded 15 May 2019]


In systems with non-local potentials or other kinds of non-locality, the Landauer-Büttiker formula of quantum transport leads to replacing the usual gauge-invariant current density J with a current J e x t which has a non-local part and coincides with the current of the extended Aharonov-Bohm electrodynamics. It follows that the electromagnetic field generated by this current can have some peculiar properties and in particular the electric field of an oscillating dipole can have a long-range longitudinal component. The calculation is complex because it requires the evaluation of double-retarded integrals. We report the outcome of some numerical integrations with specific parameters for the source: dipole length ∼10−7 cm, frequency 10 GHz. The resulting longitudinal field E L turns out to be of the order of 10 2 to 10 3 times larger than the transverse component (only for the non-local part of the current). Possible applications concern the radiation field generated by Josephson tunnelling in thick superconductor-normal-superconductor (SNS) junctions in yttrium barium oxide (YBCO) and by current flow in molecular nanodevices. View Full-Text
Keywords: extended Aharonov-Bohm electrodynamics; local conservation laws; quantum transport; schrödinger equation with non-local potential extended Aharonov-Bohm electrodynamics; local conservation laws; quantum transport; schrödinger equation with non-local potential

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Modanese, G. High-Frequency Electromagnetic Emission from Non-Local Wavefunctions. Appl. Sci. 2019, 9, 1982.

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