When the surface impedance of the earth along the propagation direction changes abruptly, the ground wave is strongly affected as it occurs when the radio wave traverses a coastline from the land to the sea [1]-[8]. In this study, we shall obtain the integral representation for the ground wave propagation over the land-to-sea mixed-path by applying the aperture field method. Then by applying th...

We present a framework for optical tomography based on a path integral. Instead of directly solving the radiative transport equations, which have been widely used in optical tomography, we use a path integral that has been developed for rendering participating media based on the volume rendering equation in computer graphics. For a discretized two-dimensional layered grid, we develop an algorit...

We apply the path-integral method to study the multiple scattering and collective flow in intensity interferometry in high-energy heavy-ion collisions. We show that the Glauber model and eikonal approximation in an earlier quantum treatment are special examples of the more general path-integral method. The multiple scattering and collective flow lead essentially to an initial source at a shifte...

We present a new approach for the pricing of interest rate derivatives which allows a direct computation of option premiums without deriving a (BlackScholes type) partial differential equation and without explicitly solving the stochastic process for the underlying variable. The approach is tested by rederiving the prices of a zero bond and a zero bond option for a short rate environment which ...

We present a new Monte Carlo method which couples Path Integral for finite temperature protons with Quantum Monte Carlo for ground state electrons, and we apply it to metallic hydrogen for pressures beyond molecular dissociation. This method fills the gap between high temperature electron-proton Path Integral and ground state Diffusion Monte Carlo methods. Our data exhibit more structure and hi...

In this work, we consider the nonequilibrium thermodynamics of a reaction-diffusion system at a given temperature, using the Master equation. The information potential is defined as the logarithm of the stationary state. We compare the approximations, given by the Fokker–Planck equation and the Wentzel-Kramers-Brillouin method directly applied to the Master equation, and prove that they lead to...