Operator methods; translation, rotation, and time evolution; symmetries and conservation laws; Schrödinger, Heisenberg and interaction pictures; time-dependent perturbation; Wigner-Eckhardt theorem; entanglement.
|Paper title||Advanced Quantum Mechanics I|
|Teaching period||First Semester|
|Domestic Tuition Fees (NZD)||$666.57|
|International Tuition Fees (NZD)||$2,895.09|
- Limited to
- BSc(Hons), PGDipSci, MSc
- Teaching staff
- Professor David Hutchinson
No textbook required
- Graduate Attributes Emphasised
- Global perspective, Interdisciplinary perspective, Lifelong learning, Scholarship,
Communication, Critical thinking, Information literacy, Self-motivation, Teamwork.
View more information about Otago's graduate attributes.
- Learning Outcomes
- Upon successful completion of the paper students will
- Be able to use the variational principle to estimate ground and excited state energies and wave functions.
- Be able to perform degenerate and non-degenerate time-independent perturbation calculations.
- Be familiar with symmetry as applied to quantum mechanics and the relationship with conservation laws and understand Noether's theorem.
- Understand the relationship between Schrödinger, Heisenberg and Interaction Picture representations and be able to solve problems using the Heisenberg equation of motion.
- Be familiar with the derivation and use of time-dependent perturbation theory.
- Be familiar with basic concepts of many-body physics and be able to use the occupation number representation.