## PHYS 5383 Learning Outcomes - S13

`Last edit: 3 May 2013`

At the conclusion of PHYS 5383, the competent student will be able to,
in a time-limited exam-like setting with their own notes, and in homework exercises:

- perform straightforward calculations using the operator method formalism of
standard quantities such as probabilities, time dependence of position
operator, commutation relations, etc.
- calculate wave functions and energy eigenvalues for two particle electron systems
in simple potentials;
- calculate the energy density, energy spectrum and Fermi energy for simple three dimensional quantum systems;

- Understand Dirac bra-ket notation.
- Compute wavefunctions and determine the energy spectra of
hydrogenic systems.
- Add angular momenta to find the total
**J** as well as all possible m_z values; Use a table of
Clebsch-Gordon coefficients.

- How to make wavefunctions for identical bosons and fermions properly symmetric or anti-symmetric.
- Calculate the identical fermion degeneracy pressure for various physical systems.
- Calculate 1st-order correction to the energy and wavefunction
using time-independent perturbation theory for simple perturbations.

- Calculate 1st-order correction to the energy using
time-dependent perturbation theory for simple time dependent perturbations.

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