QMsolve seeks to provide a solid and easy to use solver, capable of solving the Schrödinger equation for one and two particles, and creating descript

quantum-visualizations / qmsolve

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2021-07-22 14:30:08

QMsolve seeks to provide a solid and easy to use solver, capable of solving the Schrödinger equation for one and two particles, and creating descriptive and stunning visualizations of its solutions both in 1D, 2D, and 3D.

The way this simulator works is by discretizing the Hamiltonian with an arbitrary potential, specified as a function of the particle observables. This is achieved with the Hamiltonian constructor.

Then, the Hamiltonian.solve method efficiently diagonalizes the Hamiltonian and outputs the energies and the eigenstates of the system. Finally, the eigenstates can be plotted with the use of the visualization class.

The visualization.superpositions method features the possibility of interactively visualizing a superposition of the computed eigenstates and studying the time dependence of the resulting wavefunction.

In the two interactive particle examples from above you can check how in the non interactive case the energy levels are equally spaced and degenerated, however in the interactive case the degeneracy is broken. As a starting point I suggest you to modify the confinement and the interaction potential to see what happens!

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