The equation of motion for the reduced Wigner function of a system coupled to an external quantum system is presented for the specific case when the external quantum system can be modeled as a set of harmonic oscillators. The result is derived from the Wigner function formulation of the Feynman-Vernon influence functional theory. It is shown how the true self-energy for the equation of motion i...

A new control algorithm was developed for tremor estimation and suppression in a second order linear model of the human elbow joint. An adaptive method developed to estimate a simple harmonic disturbance was generalized for tremorous motion with spectral composition similar to the clinical reports for action tremor. Numerical simulations showed the ability of proposed controller to reduce tremo...

The intersection exponent for Brownian motion is a measure of how likely Brownian motion paths in two and three dimensions do not intersect. We consider the intersection exponent () = d (k;) as a function of and show that has a continuous, negative second derivative. As a consequence, we improve some estimates for the intersection exponent; in particular, we give the rst proof that the intersec...

This paper presents the design and demonstration of a novel harmonic transponder sensor (HTS) that can measure position motion target in noisy reflective indoor environments. In conventional HTS implementation, an impedance mismatch at input or output occur because variation antenna caused by location surrounding environment. The (or output) also affects input), thereby degrading conversion gai...

By a conservation law we mean a quantity constructed from the coordinates, velocities, accelerations, etc. of the system that does not change as the system evolves in time. When the equations of motion are second order, conservation laws typically arise as functions on the velocity phase (possibly with explicit time dependence). Conservation of energy, momentum and angular momentum are familiar...