Publication Date: 2023/12/23
Abstract: B-transition matrix chains resulting from the Cairo technique numerical statistical solution method have been successfully applied to statistically solve time- dependent partial differential equations in classical physics. This paper studies the extension of transition matrix chains B to the numerical statistical solution of the time-independent Schrödinger equation. However, extending the physical transition matrix chains B to the solution of the time-independent Schrödinger equation is not complicated but it is a bit long and requires respecting certain limitations of the bases which we briefly explain in this article. We present the numerical solution of matrix B in three illustrative examples, namely the heat diffusion equation, the quadratic potential well and the one- dimensional infinite potential well wherethe numerical results are surprisingly accurate.
Keywords: No Keywords Available
DOI: https://doi.org/10.5281/zenodo.10427237
PDF: https://ijirst.demo4.arinfotech.co/assets/upload/files/IJISRT23DEC782.pdf
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