in this paper, one of the numerical solution method of one- particle, one dimensional timeindependentschrodinger equation are presented that allows one to obtain accurate bound state eigenvalues and functions for an arbitrary potential energy function v(x).for each case, we draw eigen functions versus the related reduced variable for the correspondingenergies. the paper ended with a comparison ...

Time-dependent creep analysis is crucial for the performance and reliability of piezoactuators used for high-precision positioning and load-bearing applications. In this study history of stresses, deformations and electric potential of hollow rotating cylinders made of functionally graded piezoelectric material (FGPM), e.g., PZT_7A have been investigated using Mendelson’s method of successive e...

This article presents an exact solution for an axisymmetric functionally graded piezoelectric (FGP) rotating disk with constant thickness subjected to an electric field and thermal gradient. All mechanical, thermal and piezoelectric properties except for Poisson’s ratio are taken in the form of power functions in radial direction. After solving the heat transfer equation, first a symmetric dist...

using the lennard-jones (12-6) potential, a new equation of state is obtained that can predict properties of both gases and liquids relatively well. this equation of state is given as (z-a)v2=(a/v2)-b, where z is the compressibility factor, a and b are constants, and a is an adjustable parameter that depends on the temperature, volume and the nature of the fluid, and its expressions depends upo...

Inflation driven by a single, minimally coupled, slowly rolling field generically yields a negligible primordial non-Gaussianity. We discuss two distinct mechanisms by which a nontrivial potential can generate large non-Gaussianities. Firstly, if the inflaton traverses a feature in the potential, or if the inflationary phase is short enough so that initial transient contributions to the backgro...

Hydrogen transport through Pd and metal-hydrides has been usually investigated by using potentiostatic current transient technique (chronoamperometry), on the basis of the diffusion-controlled model. This assumes that hydrogen diffusion in the electrode is very slow, while other reactions including interfacial charge transfer and hydrogen transfer are too fast to influence hydrogen transport, a...