Lecture 18 Pre-Class

  1. (3 pts.) Create a Python function which will return the two-particle two-hole pairing model Hamiltonian for a given value of g and d. Do the same for the four-particle four-hole pairing model Hamiltonian.
  2. (3 pts.) Create a function which will take as an input a Hamiltonian matrix and return the ground state energy.
  3. (2 pts.) Based on your current understanding (or using the other resources with citations) explain the no-broken pairs pairing model.
  4. (2 pts.) Based on your current understanding (or using the other resources with citations) explain why we cannot always use eigenvalue solvers to find the ground state energy.