Feynman integrals as connecting component between radio еngineering, fractal paradigm and quantum mechanics

Abstract

Analysing Feynman integral for one-dimensional harmonic oscillator we have found that it is possible to introduce quasiparticle of radio systems. This quasiparticle we have called radion. One can understand radion as object moving along fractal trajectories in phase space of oscillator. The same arguments have led us to the conclusion about natural fractality of all radio systems working with spectrum of signal. Under radiation of electromagnetic wave into medium with arbitrary dielectric permeability radion continues its fractal movement. Interrelations of radion and photon also have been discussed.

Keywords

• path integral
• fractal trajectory
• harmonic oscillator
• quasiparticle
• radio system
• photon
• schrödinger equation
• quasioptics
• green’s function
• peano curve