A Stationary Phase Approach to the Weak Coupling Schrödinger Equation

From the N-body Schrödinger equation to the quantum Boltzmann equation: a term-by-term convergence result in the weak coupling regime

In this paper we analyze the asymptotic dynamics of a system of N quantum particles, in a weak coupling regime. Particles are assumed statistically independent at the initial time. Our approach follows the strategy introduced by the authors in a previous work [BCEP1]: we compute the time evolution of the Wigner transform of the one-particle reduced density matrix; it is represented by means of ...

Analysis of Oscillation Amplitude and Phase Error in Multiphase LC Oscillators

Abstract   This work proposes a novel method to find the phase error and oscillation amplitude in multiphase LC oscillators. A mathematical approach is used to find the relationship between every stage's output phase and its coupling factor. To much more general analysis, every stage assumed to have a different coupling factor. The mismatches in LC tanks are considered as the main source of pha...

A Map Approach to Stationary Solutions of the Discrete Nonlinear Schrödinger Equation

Effects of coupling on turbulent gas-particle boundary layer flows at borderline volume fractions using kinetic theory

This study is concerned with the prediction of particles’ velocity in a dilute turbulent gas-solidboundary layer flow using a fully Eulerian two-fluid model. The closures required for equationsdescribing the particulate phase are derived from the kinetic theory of granular flows. Gas phaseturbulence is modeled by one-equation model and solid phase turbulence by MLH theory. Resultsof one-way and...

Weak Force Measurement in Bistable Optomechanical System

One of the main milestones in the study of opto-mechanical system is to increase the sensitivity of weak forces measurement up to the standard quantum limit. We have studied the detection of weak force under a bistable condition in red detuned regime. In this case, dynamics of the system behaves asymptotically similar to stationary state and applying external force affects phase and fluctuation...