- Define a wavefunction using matrix mechanics and be able to normalize it.
- Define a computational basis and describe its properties.
- Create a wavefuction using superposition and a computational basis. Describe the probability of the wavefunction collapsing into each of the basis states upon measurement.
- Define an operator in matrix mechanics and explain why it must be Hermitian.
- Explain the importance of the eigenvalues and eigenvectors of an operator.
- Use outer products to construct projection operators and apply them to wavefunctions. Be able to interpret the result.
- Use the idea of projection operators to determine the likelihood a wavefunction will collapse into a given basis state upon measurement.