pianofisica

Mathematics & Physics, Maxima, a bit Python & Wolfram, and Arts

2023-01-12から1日間の記事一覧

Python (SymPy) Programming for solving Ordinary Differential Equations

This article demonstrates how to solve ordinary differential equations with SymPy. Please refer to the previous article for introductory stuffs of SymPy:pianofisica.hatenablog.com Indefinite integral Ordinary Differential Equations Linear …

Python (SymPy) Programming for finding Schwarzschild Solution to Einstein Equation

This article demonstrates a way to check if the Schwarzschild metrc satisfies the Einstein equation using a Python library "SymPy". In general, in order to examine the Einstein equation, one needs to compute various objects, for instance, …

Python (SymPy) Programming for finding Laplacian in Polar Coordinates

This article introduces a way to find the Laplace operator (Laplacian) in polar coordinates. The Laplace operator of 2-dimensional and 3-dimensional spaces often appears in problems in electromagnetism, quantum mechanics and so on, for tho…

Python(SymPy)を使って学ぶアインシュタイン方程式のライスナー=ノルドシュトロム解

今回は Python(SymPy)を活用する具体例として、4次元時空のReissner-Nordstrom(ライスナー=ノルドシュトロム)解が、電場が存在する場合のアインシュタイン方程式の解になっていることをPython(SymPy)を使って確認してみたいと思います。電場が存在し…

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