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Personal Study Notes

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ここには個人的な基本的な勉強ノートのpdfファイルを置きます。基本的に内容は英語で書いていますが、あくまで も個人的な勉強ノートなので、誤植や間違いが含む可能性があります。また文章もいい加減です。従って、極めて個 人的な知人等からを除き、ここにあげるノートに関する質問や間違いの指摘などは基本的には一切受け付けませんし、 責任は負いません。ノートを閲覧し勉強に用いる場合には個々の責任においてお願いします。
Here I put my personal study notes. Basically my notes are written in English. However, I wrote them for quite personal use. There can be many mistakes, misprints, grammer, etc...Basically I do not accept any questions nor identifications except from my quite personal friends. Also I do not take any responsibilities for your personal use of my notes. Please take the responsibility by yourself.

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Pdf files


Quantum mean field theory for the finite many-body systems.

Random-Phase-Approximation(RPA) theory.

Angular momentum for the quantum mechanics.

Numerical technique.

Bessel function for complex variable.

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Calculation of π

The exactly same codes written in c++ and fortran 90 which calculate π until 2400 digits.

pi.c
pi.f90

Both programs give exactly the same output as
log.txt

These programs are base on the Euler's expansion formula of arctan(x).
In following f90 program, π is calculated by the Gauss-Legendre formula and the Euler's expansion formula of arctan(x) in quadruple precision.

pialgorism.f90

This program provides π until 33 digits as π=3.14159265358979323846264338327950

Copyright (C) K.Mizuyama, All Rights Reserved.