High-Frequency Electromagnetic Emission from Non-Local Wavefunctions
Faculty of Science and Technology, Free University of Bozen-Bolzano, 39100 Bolzano, Italy
Received: 16 April 2019 / Revised: 8 May 2019 / Accepted: 9 May 2019 / Published: 15 May 2019
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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
with a current
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
turns out to be of the order of
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.
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Modanese, G. High-Frequency Electromagnetic Emission from Non-Local Wavefunctions. Appl. Sci. 2019, 9, 1982.
Modanese G. High-Frequency Electromagnetic Emission from Non-Local Wavefunctions. Applied Sciences. 2019; 9(10):1982.
Modanese, Giovanni. 2019. "High-Frequency Electromagnetic Emission from Non-Local Wavefunctions." Appl. Sci. 9, no. 10: 1982.
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