AIMpy: A Python code to solve Schrödinger-like equations with the asymptotic iteration method

To read about AIMpy:

International Journal of Modern Physics C
https://doi.org/10.1142/S0129183121500170
https://arxiv.org/abs/2112.02934

To read about the AIM use the following links:

1. https://arxiv.org/abs/math-ph/0309066
2. http://iopscience.iop.org/article/10.1088/0305-4470/36/47/008/meta

Live Jupyter notebooks on mybinder.org

Click the button below to run Jupyter notebook on mybinder and try examples given in /examples folder.

Interactive	Static

How to run the code in your local PC

You can use one of the following methods below. Both methods are only tested on a machine with an Ubuntu (18.04) Operating System.

1. Use the docker image

Please first read about git and docker if you have no experience.

~$ sudo apt install git docker
~$ git clone https://github.com/mkarakoc/aim.git
~$ cd aim
~$ sudo docker build -t jupyter_docker .
~$ sudo docker run -ti jupyter_docker

If everything successful you will see a link similar to the following:

http://172.17.0.2:8080/?token=...

Open this link in your preferred browser and you are ready to go!

2. Install the libraries

/examples folder contains "asymptotic.py" and the example ".ipynb" files. If the following instructions are followed, the examples will be ready to run in your local machine with an Ubuntu (18.04) Operating System.

The (user) in the instructions below is user name of your (Ubuntu) operating system's current user.

create a folder to store the library files

~$ mkdir /home/(user)/pylibs
~$ cd /home/(user)/pylibs

download or clone: gmp, mpfr, flint2, and arb files

~$ wget https://gmplib.org/download/gmp/gmp-6.1.2.tar.bz2
~$ wget http://www.mpfr.org/mpfr-current/mpfr-4.0.2.tar.gz
~$ git clone https://github.com/fredrik-johansson/flint2.git
~$ git clone https://github.com/fredrik-johansson/arb.git
~$ git clone https://github.com/fredrik-johansson/python-flint.git

install m4

~$ sudo apt-get install m4

install gmp

~$ tar -xvf gmp-6.1.2.tar.bz2
~$ cd ./gmp-6.1.2/ && ./configure && make && sudo make install && cd ..

install mpfr

~$ tar -xvf mpfr-4.0.2.tar.gz
~$ cd ./mpfr-4.0.2/ && ./configure && make && sudo make install && cd ..

install flint2 and arb

~$ cd ./flint2/ && ./configure && make && sudo make install && cd ..
~$ cd ./arb/ && ./configure && make && sudo make install && cd ..

install python-flint for python 2 or python 3

Change "python" and "pip" with "python2" and "pip2" or "python3" and "pip3" depending on which version you want to use.

~$ sudo pip install Cython
~$ cd ./python-flint  
~$ sudo python ./setup.py build_ext --include-dirs=/home/(user)/pylibs/flint2:/home/(user)/pylibs/arb --library-dirs=/home/(user)/pylibs/flint2:/home/(user)/pylibs/arb  
~$ sudo python setup.py install && cd ..  
~$ export LD_LIBRARY_PATH=/home/(user)/pylibs/flint2:/home/(user)/pylibs/arb:$LD_LIBRARY_PATH
## put "LD_LIBRARY_PATHPATH" into ".bashrc" of (user) to make PATH permanent

---

##*********************************************************************************
##    Copyright (C) 2020, 2023 Mesut Karakoc
##
##    AIMpy is free software: you can redistribute it and/or modify
##    it under the terms of the GNU General Public License as published by
##    the Free Software Foundation, either version 3 of the License, or
##    (at your option) any later version.
##
##    AIMpy is distributed in the hope that it will be useful,
##    but WITHOUT ANY WARRANTY; without even the implied warranty of
##    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
##    GNU General Public License for more details.
##
##    You should have received a copy of the GNU General Public License
##    along with this program.  If not, see <https://www.gnu.org/licenses/>.
##*********************************************************************************