[PDF] Top 20 On Analyzing Numerical solution of time-Independent Schrodinger equation

... a numerical solution of TISE is developed without making any approximation by applying simple procedure to some quantum mechanical problems in one dimension [13], approximate solution of ... See full document

... Schrodinger equation has a wide range of application in physics varying from optics, propagation of electric field in optical fibers, self-focusing and self-modulation of trains in monochromatic wave in ... See full document

... same time, this point is not determined by the equations of motion or electrodynamics ...led Schrodinger to the idea that their dynamics was described by the wave equation but not by the Newton ... See full document

... the numerical solution of the time independent radial Schr¨ odinger equation new Methods MVIII is the most accurate one, especially for large values of ... See full document

... new numerical approach to solve the one-dimensional time independent Schrödinger equation and as a preliminary research work for us to investigating into the computational quantum mechanics ... See full document

... parabolic equation by using over-measured data has generated an increasing amount of interest from engineers and scientist during the last few ...many numerical methods ...one-dimensional time ... See full document

... ¨odinger equation is one of the fundamental equations arising in physics for describing quantum mechanical behavior [16, ...wave equation and is a partial differential equation that describes how the ... See full document

... Numerical solution to Schr¨ odinger equation has become increasingly important because of the tremendous demands for the design and optimization of nanodevices, where quantum effects are significant or ... See full document

... NLS equation with variable ...in time and space ...The numerical results obtained by the present method are compared with the exact solutions ... See full document

... Schrödinger equation have been investigated by different ...the Schrodinger equation from the measured final data ...the solution of the optimal control problem for non-stationary Schrödinger ... See full document

... of time by Caputo fractional derivative is presented in ...some numerical experiments of TFTE are discussed to illustrate the reliability and capacity of proposed ... See full document

... calculate time variation of soliton parameters one needs to apply the well known asymptotic per- turbation approach described, in particular, in ...balance equation which can be readily derived from ... See full document

... accurate solution of the advection equation. The solution of the advection equation is considerably more difficult than the solution of the advective-diffusion ...differential ... See full document

... the numerical solution of radial Schr¨ odinger equation for hydrogen .... Numerical results of the ground state modes of wave function for the hydrogen atom R(r), or the electron probability ... See full document

... nonlinear Schrodinger equations is power law nonlinearity which was studied by Wazwaz in [18] by using the tanh- coth method and was solved by variational iter- ation method in ...consider Schrodinger ... See full document

... The method used to solve the problem converts the problem to a functional differential equation which is then solved by the Trapezoidal rule and a global extrapolation technique based on[r] ... See full document

... amplitude. Equation (2) is an exact solution of the KdV equation representation a non dispersive travelling wave packet [3], [8], ...KdV equation that includes time as a ... See full document

... In this section, we present numerical solution of three inverse problems of the form (9)-(10) by using the method developed in the previous section. The computations are performed using MATLAB R2014a ... See full document

... Table 1 compares the results at selected points t for the “increasing precision” obtained at decreas- ing values Δt from 0.01 to 0.0003125. Even at the finest time step Δt = 1/3200 = 0.0003125 the results can not ... See full document

... These are described by a non-linear Schrodinger equation; e Chaoticity, either by turbulence like in the case of hydrodynamics, or by stocasticity like in Schrodinger representation, are[r] ... See full document