The relation between the dynamical properties of a coupled quasiparticleoscillator system in the mixed quantum-classical and fully quantized descriptions is investigated. The system is considered to serve as a model system for applying a stepwise quantization. Features of the nonlinear dynamics of the mixed description such as the presence of a separatrix structure or regular and chaotic motion...

A new approach to the quantization of totally constrained systems. Abstract In this paper we present a new approach to the quantization which uses the semiclassical-quantum (SQC) correspondence to deduce the form of the wavefunction of the universe corresponding to a general totally constrained system. The implementation of the constraints can be seen as the breaking of a translational symmetry...

This paper describes a Quantization Regression (QR) algorithm which generates a nonlinear estimate of an autoregressive time series from quantized measurements. Its purpose is to retrieve the underlying information from quantized signals such as those from the analogue to digital converter of a plant instrument. The reconstructed signals have uses in data-centric applications such as controller...

We have numerically studied a non-adiabatic charge transport in the quantum Hall system pumped by a magnetic flux, as one of the simplest theoretical realizations of nonadiabatic Thouless pumping. In the adiabatic limit, a pumped charge is quantized, known as Laughlin’s argument in a cylindrical lattice. In a uniform electric field, we obtained a formula connecting quantized pumping in the adia...

Quantum gravity as a unified theory coupled to quantized matter fields. Abstract In this paper we place some results of previous works together into a larger overall context. First we quantize the gravity-matter system in Ashtekar variables as a unified field, combining the Dirac, reduced phase space, geometric and path integration approaches, and construct the generalized Kodama state by expan...

We consider systems of static nuclei and electrons {atoms and molecules{ coupled to the quantized radiation eld. The interactions between electrons and the soft modes of the quantized electromagnetic eld are described by minimal coupling, ~ p! ~ p e ~ A(~x), where ~ A(~x) is the electromagnetic vector potential with an ultraviolet cuto . If the interactions between the electrons and the quantiz...

We consider systems of static nuclei and electrons {atoms and molecules{ coupled to the quantized radiation eld. The interactions between electrons and the soft modes of the quantized electromagnetic eld are described by minimal coupling, ~ p ! ~ p?e ~ A(~ x), where ~ A(~ x) is the electromagnetic vector potential with an ultraviolet cutoo. If the interactions between the electrons and the quan...

In this paper we introduce a novel method for linear system identification with quantized output data. We model the impulse response as a zero-mean Gaussian process whose covariance (kernel) is given by the recently proposed stable spline kernel, which encodes information on regularity and exponential stability. This serves as a starting point to cast our system identification problem into a Ba...

This work explores the edge agreement problem of second-order multi-agent system with dynamic quantization under directed communication. To begin with, by virtue of the directed edge laplacian, we derive a model reduction representation of the closed-loop multi-agent system depended on the spanning tree subgraph. Considering the limitations of the finite bandwidth channels, the quantization eff...