Quantum hydrodynamics in the rotating reference frame

TL;DR

This paper develops quantum hydrodynamics in a rotating frame to analyze the behavior of spinning and dipolar particles, revealing new wave phenomena influenced by rotation and polarization effects.

Contribution

It introduces a new QHD framework incorporating spin-dependent inertial forces and predicts novel dipole-inertial and polarization waves in rotating polarized systems.

Findings

Prediction of 2D dipole-inertial waves influenced by rotation.

Analysis of elementary excitations in polarized fluids under external electric fields.

Identification of polarization wave modifications due to rotation in 3D systems.

Abstract

In this paper we apply quantum hydrodynamics (QHD) to study the quantum evolution of a system of spinning particles and particles that have the electric dipole moments EDM in the rotating reference frame. The method presented is based on the many-particle microscopic Schrodinger equation in the rotating reference frame. Fundamental QHD equations for charged or neutral spinning and EDM-bearing particles were shaped due to this method and contain the spin-dependent inertial force field. The polarization dynamics in systems of neutral particles in the rotating frame is shown to cause formation of a new type of waves, the dipole-inertial waves. We have analyzed elementary excitations in a system of neutral polarized fluids placed into an external electric field in 2D and 3D cases. We predict the novel type of 2D dipole-inertial wave and 3D - polarization wave modified by rotation in systems of particles with dipole-dipole interactions.