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C++QED is an application-programming framework for simulating open quantum dynamics in general. It has demonstrated the ability to simulate full Master equation of up to several thousand, and quantum trajectories of up to several hundred thousand dimensions. The basic idea is to allow users to build arbitrarily complex interacting quantum systems out of free subsystems and interactions (elements), and simulate their time evolution with a number of available time-evolution...

PyParticles is an opensource particles simulation tool box entirely written in python. It support the most popular integrations methods and the most relevant forces model. It also offer a nice looking OpneGL interface or at your preference a Matplotlib based GUI. PyParticles as a forces models implements Gravity, spring, constant force and electrostatic and the user defined vector field force. As a integrations method it includes Euler, Midpoint, Runge Kutta, Störmer Verlet and Leap frog.