Dito and Turrubiates recently introduced an interesting model of the dissipative quantum mechanics of a damped harmonic oscillator in phase space. Its key ingredient is a non-Hermitian deformation of the Moyal star product with the damping constant as deformation parameter. We compare the Dito-Turrubiates scheme with phase-space quantum mechanics (or deformation quantization) based on other sta...

This paper provides a proposed means to estimate parameters of noise corrupted oscillator systems. An application for a submarine combat control systems (CCS) rack is described as exemplary of the method. Damped Oscillation The differential equation modeling damped harmonic oscillators in terms of time t is given as the linear second order homogeneous system, derived from Hooke’s Law and Newton...

In this paper, we study the integrability of contact Hamiltonian systems, both time-dependent and independent. order to do so, construct a Hamilton–Jacobi theory for these systems following two approaches, obtaining different equations. Compared conservative depend one additional parameter. The fact equations reflects whether are looking solutions depending on parameter or not. illustrate devel...

The effect of polarization mode dispersion (PMD) on Manakov solitons and dispersion managed solitons is treated analytically and by numerical simulation. In the analytic approach the internal motion of the Manakov soliton is represented as a damped harmonic oscillator. The PMD functions as a white noise source driving the oscillations. It is shown that the solitons can withstand PMD up to a cer...

A sphere of a ferrogel is exposed to a homogeneous magnetic field. In accordance to theoretical predictions, it gets elongated along the field lines. The time dependence of the elastic shear modulus causes the elongation to increase with time, similar to mechanic creep experiments, and the rapid excitation causes the sphere to vibrate. Both phenomena can be well described by a damped harmonic o...