Publication Date: 2024/01/17
Abstract: In previous papers we have studied the extension of transition matrix chains B to the numerical statistical solution of the time-independent Schrödinger equation in one two dimensions x,y. In this paper we examine the extension of B- transition matrix chains to the numerical statistical solution of the time-independent Schrödinger equation in the three dimensions x, y, z. However, extending the physical transition matrix chains B to the solution of the time-independent Schrödinger equation requires respecting certain limitations of the bases which we briefly explain in this article. We present the numerical statistical solution via B- matrix chains in two illustrative examples, namely the three-dimensional time-dependent heat diffusion equation and the quantum particle in a three- dimensional infinite potential well. The numerical results are surprisingly accurate.
Keywords: No Keywords Available
DOI: https://doi.org/10.5281/zenodo.10521199
PDF: https://ijirst.demo4.arinfotech.co/assets/upload/files/IJISRT23DEC1827.pdf
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