The q–deformation of harmonic oscillators is shown to lead to q–nonlinear vibrations. The examples of q–nonlinearized wave equation and Schrödinger equation are considered. The procedure is generalized to broader class of nonlinearities related to other types of deformations. The nonlinear noncanonical transforms used in the deformation procedure are shown to preserve in some cases the linear d...

Abstract Using three coupled harmonic oscillators, we present an amplitude-amplification method for factorization of an integer. We generalize the method in [arXiv:1007.4338] by employing nonorthogonal measurements on the harmonic oscillator. This method can increase the probability of obtaining the factors by repeatedly using the nonlinear interactions between the oscillators and non-orthogona...

This paper presents an advanced and extensive utilization approach of microwave resonant fields, and the applications to push-push oscillators and reconfigurable planar antennas. The excellent coherency, synchronous harmonics and the degenerative orthogonal modes of electromagnetic field built up on microwave resonators are noticeable features in this approach. Another crucial point is the reso...

The dynamics of a pair of coupled harmonic oscillators in separate or common thermal environments is studied, focusing on different indicators of quantumness, such as entanglement, twin oscillators correlations and quantum discord. We compare their decay under the effect of dissipation and show, through a phase diagram, that entanglement is more likely to survive asymptotically than twin oscill...

A molecular system adsorbed on a dielectric surface is modeled as a damped harmonic oscillator driven by a sinusoidal external force. The exact propagator and wavefunction through the Feynman path integral method are obtained. The second-quantization of this system is carried out. Expectation values of several physical quantities are evaluartd. The amplitude for transitions between harmonic osc...

Robust online estimation of oscillation frequency belongs to classical problems system identification and adaptive control. The given harmonic signal can be noisy with varying amplitude at the same time, as in case damped vibrations. A novel robust frequency-estimation algorithm is proposed here, motivated by existing globally convergent estimator. advantage estimator requiring one design param...

Recently, Tomasi and Ernst introduced a simple string model for understanding the vibrations of MRI gradient coils. [1] We build upon this simple foundation to provide a window into a particular method for active noise cancellation, where the pulse sequences that caused the problem may be designed to solve the problem. Previous work has focused on active and passive shielding to control eddy cu...