System plus reservoir approach to quantum Brownian motion of a rod-like particle

TL;DR

This paper investigates the quantum and classical behaviors of a rod-like particle undergoing Brownian motion using a system plus reservoir model, deriving correlation functions, fluctuation-dissipation relations, and mean squared displacements.

Contribution

It introduces a comprehensive analysis of both translational and rotational quantum Brownian motion for rod-like particles within the system plus reservoir framework, including new derivations of key statistical properties.

Findings

Derived correlation functions for translational and rotational motions

Established fluctuation-dissipation relations in the quantum regime

Calculated mean squared displacements for both motions

Abstract

Quantum Brownian motion of a rod-like particle is investigated in the frame work of system plus reservoir model. The quantum mechanical and classical limit for both translational and rotational motions are discussed. Correlation functions, fluctuation-dissipation relations and mean squared values of translational and rotational motions are obtained.