Paper Description
A graduate level course of non-relativistic quantum mechanics, which provides the theoretical underpinning to allow students to understand the solutions of archetypical quantum mechanical problems.
Provides a hands-on experience, where insights are gained by active problem solving in a supportive group environment.
Textbook required: Quantum Mechanics, David J. Griffiths, 2nd Edition, Pearson 2005
Prerequisites:
PHSI 331, PHSI 332
This paper consists of 15 lectures and 6 tutorials. There are 3 assignments.
Assesment:
Final Exam 70%, Assignments 30%
Important information about assessment for PHSI423
Course Coordinator:
Prof David Hutchinson
After completing this paper students are expected to have achieved the following major learning objectives:
- Be able to use the variational principle to estimate ground and excited state energies and wavefunctions.
- 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; understand Noether's theorem.
- Understand the relationship between Schrödinger, Heisenberg and Interaction Picture representations. 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.
Topics:
- Perturbation theory
- Symmetry and conservation laws
- Representations
- Time-dependent perturbation theory
- Second quantization, occupation number representation
Formal University Information
The following information is from the University’s corporate web site.
Details
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) | $666.57 |
| International Tuition Fees (NZD) | $2,895.09 |
- Limited to
- BSc(Hons), PGDipSci, MSc
- Contact
- david.hutchinson@otago.ac.nz
- Teaching staff
- Professor David Hutchinson
- Textbooks
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.
