High-Frequency Electromagnetic Emission from Non-Local Wavefunctions

Abstract

In systems with non-local potentials or other kinds of non-locality, the Landauer-Büttiker formula of quantum transport leads to replace the usual gauge-invariant current density J with a current J ext 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 SNS junctions in YBCO and by current flow in molecular nano-devices.

Implications of Gauge-Free Extended Electrodynamics

“…Spirichev [141] proposed a version of EED (by analogy to elasticity theory), finding: (i) A µ is a physically measurable field, as discussed above; (ii) C and the SLW exist; and (iii) PAPF create a particle-antiparticle plasma, which is compressible (elastic), facilitating SLW propagation. Modanese [69][70][71][72][73][74][75][76][77][78] has explored non-local, quantum wave-functions via violation of local charge conservation in condensed matter. A high-frequency dipole oscillation at 10 GHz leads to double-retarded integrals [69] from EED; the E L magnitude then exceeds the E T magnitude by a factor of 10 2 -10 3 in the far-field.…”

“…Modanese [69][70][71][72][73][74][75][76][77][78] has explored non-local, quantum wave-functions via violation of local charge conservation in condensed matter. A high-frequency dipole oscillation at 10 GHz leads to double-retarded integrals [69] from EED; the E L magnitude then exceeds the E T magnitude by a factor of 10 2 -10 3 in the far-field. This theoretical, simulation, and experimental evidence provides a compelling basis for a first-principles, topological approach to EED-quantum and particle physics.…”

Are Current Discontinuities in Molecular Devices Experimentally Observable?

“…A simple formal example of oscillating extra-current has been introduced in [37]. Consider a point-like charge q which oscillates between the positions (0, 0, −a) and (0, 0, a), without a corresponding current:…”

“…In Reference [37], we performed a numerical simulation of a source of this kind with a = 10 −7 cm, ω = 2π • 10 9 Hz, θ = π/4 (θ is the 3D polar coordinate), and we obtained that for a totally anomalous source (i.e., η = 1, the entire charge oscillates without a current) the longitudinal field is much larger that the transverse field that would be generated by a corresponding regular source at the same position. The field was computed at a relatively small distance (r varied between 3λ and 13λ), therefore the result cannot be directly compared with Equation ( 23), which holds for larger distances; still it confirms the presence of a longitudinal field, because even in the near-field range it is impossible to obtain such big longitudinal components if the source satisfies local conservation.…”

Special Issue on Quantum Optics for Fundamental Quantum Mechanics

“…The arguments covered in the previous section are then developed in the research articles, which consist of eight papers, offering a panorama of the present studies in quantum optics and analyzing some specific issues of the different lines of research in which this field is structured. In summary, issues concerning non-locality studies range from the application of the de Broglie-Bohm model to Gauss-Maxwell beams [13] to revisiting complementarity relations in bipartite quantum systems [14]; correlations in atoms are investigated in [15,16], photon emission and statistics in [17,18] and methods in quantum technologies in [19,20] The first paper [13] of this section deals with a Bohmian-based approach to Gauss-Maxwell beams, a particularly appropriate and natural tool in optical problems dealing with Gaussian beams acted or manipulated by polarizers: a hydrodynamic-type extension of such a formulation is provided and discussed, complementing the notion of the electromagnetic field with that of (electromagnetic) flow or streamline. The described features confer the approach a potential interest in the analysis and description of single-photon experiments.…”