objectives : optimum viewing conditions facilitate identification of radiographic details and decrease the need for retakes, patients’ costs and radiation dose. this study sought to evaluate the effects of different viewing conditions on radiographic interpretation. materials and methods: this diagnostic study was performed by evaluating radiograph of a 7mm-thick aluminum block, in which 10 hol...

We establish the relation between the exact energy of a two particle state in an asymmetric rectangular box with the elastic scattering phase shift of the two particle in the continuum. In particular, we obtain a formula which relates the elastic scattering length with the energy shift of the two particle in an asymmetric box. This can be viewed as a generalization of the corresponding formula ...

This 1-D Schrödinger equation describes the non relativistic motion of a single charged particle (mass m = 1, = 1) with a potential V in a uniform electric field t → u(t). With v̈ = −u, (1) represents also the dynamics of a particle in a non Galilean frame of absolute position v (see, e.g., [9]). A change of independent variables (t, q) → (t, z) and dependent variable ψ → φ, transform (1) into (...

It is shown how one can get numerical prediction of quantum mechanical particle behaviour without using the Schrödinger equation. The main steps of this development are the non-differentiability hypothesis, the equations of motion entailed by this hypothesis, and the numerical formulation of a simple one-dimensional problem: the particle in a box.

Resulting from the synergy between the sequential Monte Carlo (SMC) method [1] and interval analysis [2], box particle filtering is a recently emerged approach aimed at solving a general class of nonlinear filtering problems. This approach is particularly appealing in practical situations involving imprecise stochastic measurements that result in very broad posterior densities. It relies on the...