PHYS 5382 Learning Outcomes - F20

Last edit: 20 Aug 2020

At the conclusion of PHYS 5382, the competent student will be able to, in a time-limited exam-like setting with their own notes, and in homework exercises:

• Demonstrate some practical knowledge of the properties of a linear vector space;
• Understand Dirac bra-ket notation;
• Demonstrate some practical ability to use the rotational operator to change one state into another, to understand the relation between a rotation operator and its matrix representation, and more generally understand the connection between rotation operators and angular momentum;

• Understand what a projection operator is;
• Demonstrate ability to use raising and lowering angular momentum operators;
• Know what a commutation relation is and how to compute the associated uncertainties for the physical observables whose operators appear in the commutation relation;

• Demonstrate a practical understanding of wave mechanics in 1-dimension (e.g., solution properties in position space, momentum space, gaussian wave packet, scattering,...)
• Unerstand important properties of the 1-dimensional harmonic oscillator;
• Understand that physical observables have corresponding Hermitian operators;
• Compute various properties (e.g., energy levels and radial wave functions) for bound states of systems with central potentials.

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