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Oscillating dipole with fractional quantum source in AharonovBohm electrodynamics
(2017)We show, in the case of a special dipolar source, that electromagnetic fields in fractional quantum mechanics have an unexpected space dependence: propagating fields may have nontransverse components, and the distinction ... 
Mathematical models describing the effects of different tax evasion behaviors
(2017)Microscopic models describing a whole of economic interactions in a closed society are considered. The presence of a tax system combined with a redistribution process is taken into account, as well as the occurrence of tax ... 
Design of a test for the electromagnetic coupling of nonlocal wavefunctions
(2019)It has recently been proven that certain effective wavefunctions in fractional quantum mechanics and condensed matter do not have a locally conserved current; as a consequence, their coupling to the electromagnetic field ... 
Statistics of binary exchange of energy or money
(2017)Why does the MaxwellBoltzmann energy distribution for an ideal classical gas have an exponentially thin tail at high energies, while the Kaniadakis distribution for a relativistic gas has a powerlaw fat tail? We argue ... 
Functional Integral Transition Elements of a Massless Oscillator
(2016)For any dynamical system, the functional average ((q  qdass)2),or "Feynman transition element", gives a measure of the amplitude ofquantum fluctuations with respect to the classical path. This is usuallyof order h or ... 
Uncertainty dynamics in a model of economic inequality
(2018)In this article, we consider a stylized dynamic model to describe the economics of a population, expressed by a Langevintype kinetic equation. The dynamics is de ned by a combination of terms, one of which represents ... 
Statistics of correlations and fluctuations in a stochastic model of wealth exchange
(2018)In our recently proposed stochastic version of discretized kinetic theory, the exchange of wealth in a society is modelled through a large system of Langevin equations. The deterministic part of the equations is based on ... 
The Bass Diffusion Model on Finite BarabasiAlbert Networks
(2019)Using a heterogeneous meanfield network formulation of the Bass innovation diffusion model and recent exact results on the degree correlations of BarabasiAlbert networks, we compute the times of the diffusion peak and ... 
Microscopic models for the study of taxpayer audit effects
(2016)A microscopic dynamic model is here constructed and analyzed, describing the evolution of the income distribution in the presence of taxation and redistribution in a society in which also tax evasion and auditing processes ... 
Stochastic effects in a discretized kinetic model of economic exchange
(2017)Linear stochastic models and discretized kinetic theory are two complementary analytical techniques used for the investigation of complex systems of economic interactions. The former employ Langevin equations, with an ...