Quantized Energies from Finite Chain of Dirac-Delta Impulses at MIMO Systems

Abstract

A formalism that associates inputs of form Dirac-Delta to quantized energy at MIMO systems is developed. Thus when Dirac-Delta inputs enter to system, errors at the measurement of observables can be crucial to trigger energy quantization. Thus, the case when photon energy is perceived as a kind of error then it allows to system to exhibit quantization of energy. The developed theory agrees well to well-known dispersion relation. The propagator known in quantum electrodynamics as the one that guarantees the momentum-energy conservation is demonstrated that can be represented as a chain of Dirac-Delta functions. Simulations have shown that in polynomial MIMO systems such as atoms, it is possible to extract the poles of system that to some extent would denote the eigenstates of system energy.