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A project on Fourier grid Hamiltonian method and Quantum Monte Carlo method

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Computational Quantum Mechanics

A project on Fourier grid Hamiltonian method and Quantum Monte Carlo method

This is a project I've done when taking Quantum Mechanics.

  • The FGH/ folder implements Fourier grid Hamiltonian method,
    which can solve for the ground state, and excited states of single-particle 2D quantum system.
  • The QMC/ folder implements Quantum Monte Carlo method,
    which can solve for the ground state wave function of any dimensional multi-Boson system.

For the code usage, please see FGH_and_QMC.pdf for more details.
Eigen library is used in FGH/ for singular value decomposition.

A 3D visualization for the Quantum Monte Carlo can be found here:
https://www.youtube.com/watch?v=tgJXdQFXmN0

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A project on Fourier grid Hamiltonian method and Quantum Monte Carlo method

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