Superposition continuum mechanics (hydrodynamics) for systems with spin polarization defined evolution

Abstract

The class of physical systems with collectivized electrons, in which the influence of spin polarization on the character of evolution crucially matters, is closely scrutinized. The hydrodynamic theory for its description is developed and the grounds of its methodological part are evaluated. The binary factorized representation of the density function serves as a master hypothesis. The system of motion equations has been deduced by means of the stationary action principle. The exponential scaling of its size in relation to the number of spin carriers is identified. We show its fundamental computability in spectral domain of the factorized discrete Fourier transform. The adequacy of description of the physics of electron gas–light interaction with its use has been assessed by the example of localized plasmon excitation in transition metal nanoparticles. It has been demonstrated the equivalence of the proposed model to many body quantum mechanics for the Shrödinger equation (SE) with operator 4–potential. The linearity of superposition mechanics is discussed in parallel. The methodological part of the approach has allowed factoring the many body SE and for the sake of validation has been translated to the approximately solved classically computable model. The results obtained with its use allow interpreting the viscous (drudean) damping in spherical particles as a consequence of maximal decoherence in motion of spin configurations.