Function

This code builds the exact N-body Schrödinger Hamiltonian, with interaction, and propagates waves in time. It can handle any number of particles but only the dimension one.

Run

Run the script opening julia and calling

include("many_body_dyn.jl")

The example given in the script will create a potential and propagate Schrödinger's equation. At the end it will plot the potential and the one-body reduced density, and the pair density at six times.

Example

Here is an example of the evolution of a wave, we represent the potential and the one-body density

and the pair density at six different times