Cairo Techniques Solution of Schrödinger's Equation – Time Dependence


Authors : Ismail Abbas

Volume/Issue : Volume 9 - 2024, Issue 3 - March

Google Scholar : https://tinyurl.com/yduy6azw

Scribd : https://tinyurl.com/5n7m2hjy

DOI : https://doi.org/10.38124/ijisrt/IJISRT24MAR911

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Abstract : 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.

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.

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