- Describe the no broken pairs pairing model, the parameters of the model, and why it is a useful model for building frameworks to describe quantum systems.
- Explain how to determine the size of a Hamiltonian for a given system.
- Create Python functions to calculate the Hamiltonians for the two-particle two-hole pairing model and the four-particle four-hole pairing model
- Calculate the energies of a system given its Hamiltonian, using computational software such as the Numpy library from the Python programming language or Wolfram Alpha.
- Explain why finding the eigenvalues and eigenvectors of a Hamiltonian is not feasible even for somewhat small quantum systems. Explain how the field of computational many-body physics attempts to determine the energies of larger quantum systems.
- Explain the variational method for approximating the energies of a system. Describe how to find the approximation to the energies of the system.
- Be able to apply the variational method to the two-particle two-hole pairing model by hand to determine the energies.