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Quantum Mechanics (2)

Course Description: Dirac notations, Hilbert space vector algebra, concise review of wave mechanics and operator methods, angular momentum commutation relations, angular momentum ladder operators, spectral decomposition in abstract form, matrix representation of angular momentum operators, general relations in matrix mechanics, characteristic states of spin ½, magnetic moments of spin ½ particles, addition of two spins, addition of spin ½ with orbital angular momentum, time-independent perturbation theory and energy shifts, degenerate perturbation theory, Stark effect, hyperfine splittings, variational method and its applications, WKB approximation, time-dependent perturbation theory, interaction of charged particle with electromagnetic field, two-state system, emission and absorption of radiation, spontaneous emission, transition rates, selection rules, scattering theory, partial wave analysis, Born approximation.
Credit hours: 3
Prerequisites: PHYS357
Objectives of the course :

Reformulating quantum mechanics in an abstract algebraic manner and applying it to describe realistic physical systems using approximate methods to solve complex interaction systems.

Course outputs :

At the end of the course, the student should be able to do the following:
1- Use Hilbert space vectors in an abstract algebraic manner to describe physical states.
2-Using abstract representation in matrix systems as a more specific case for expressing angular momentum algebra.
3. Understanding the limitations of approximation methods and applying them to describe states of complex interacting systems.
4. Dealing with realistic quantum systems and predicting their states and interactions with radiation.

Additional information:
  • Last updated: 2026-04-19

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