Solutions to N-dimensional time-dependent Schrödinger equations

Fakir Chand, Shubham Mishra

Ioan Sturzu

Using an explicit Euler substitution, a system of differential equations was obtained, which can be used to find the solution of the time-dependent one-dimensional Schr\"odinger equation for a general form of the time-dependent potential.

Ismail Abbas

We have shown in previous papers that B- matrix string mechanics, which is the product of a numerical statistical method called the Cairo technique, can be successfully applied to solve the most general form of the diffusion equation of heat as well as the time- independent equation. Schrödinger equation. In this paper we examine the extension of matrix chains from the Cairo technique to the solution of the time-dependent Schrödinger equation. Numerical results for a quantum particle in a three- dimensional box are presented and are intended to be strikingly precise.

Moses Eterigho Emetere

The three dimensional time dependent Schrödinger equation was solved using the Bloch NMR approach with the help of the hermit differential polynomial. Its solution shed more light on the nature of the transverse magnetization. It was discovered that the transverse and longitudinal magnetization is the same mathematical but may vary with respect of the speed of the particles. This gives the theory wide range application in semiconductors, superconductivity and spintronics.