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PHSI423 Advanced Quantum Mechanics I

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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
Paper code PHSI423
Subject Physics
EFTS 0.0833
Points 10 points
Teaching period First Semester
Domestic Tuition Fees (NZD) $673.90
International Tuition Fees (NZD) $2,981.97

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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.

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First Semester

Teaching method
This paper is taught On Campus
Learning management system