Solve the Master Equation by Python-An Introduction to the Python Computing Environment

Details Solve the Master Equation by Python-An Introduction to the Python Computing Environment Solve the Master Equation by Python-An Introduction to the Python Computing Environment

2011-03-02

arxiv.org/abs/1103.0325v4

Physics

Computational Physics

26 pages, 5 figures

Scientific paper

A brief introduction to the Python computing environment is given. By solving the master equation encountered in quantum transport, we give an example of how to solve the ODE problems in Python. The ODE solvers used are the ZVODE routine in Scipy and the bsimp solver in GSL. For the former, the equation can be in its complex-valued form, while for the latter, it has to be rewritten to a real-valued form. The focus is on the detailed workflow of the implementation process, rather than on the syntax of the python language, with the hope to help readers simulate their own models in Python.

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