Controllability of the coupled spin-12harmonic oscillator system

Stochastic Model for the Dynamics of a Spin-Oscillator Coupled System

For a model system consisting of bilinearly coupled harmonic oscillators and pseudospins, a generalized Langevin equation for the oscillator subsystem, valid for general spatial dimensionality and interaction range, is derived exactly, using Mori's projection operator technique. The retarded friction kernel is derived to second order in the spinoscillator interaction constant. It is shown that ...

Exact controllability of a system of coupled strings in parallel

Boundary controllability of a coupled wave/Kirchoff system

We consider two problems in boundary controllability of coupled wave/Kirchoff systems. Let Ω be a bounded region in R, n ≥ 2, with Lipschitz continuous boundary Γ. In the motivating structural acoustics application, Ω represents an acoustic cavity. Let Γ0 be a flat subset of Γ which represents a flexible wall of the cavity. Let z denote the acoustic velocity potential, which satisfies a wave eq...

a study on construction of iranian life tables: the case study of modified brass logit system

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Controllability of spin-boson systems

In this paper we study the so-called spin-boson system, namely a two-level system in interaction with a distinguished mode of a quantized bosonic field. We give a brief description of the controlled Rabi and Jaynes–Cummings models and we discuss their appearance in the mathematics and physics literature. We then study the controllability of the Rabi model when the control is an external field a...