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 | Semester 1 (On campus) |
| Domestic Tuition Fees (NZD) | $685.39 |
| International Tuition Fees | Tuition Fees for international students are elsewhere on this website. |
- 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.
Timetable
Non-relativistic quantum mechanics, providing the theoretical underpinning to allow students to understand the fundamentals of Quantum Mechanics including Schrödinger and Heisenberg pictures of time evolution and time-independent perturbation theory.
| Paper title | Advanced Quantum Mechanics I |
|---|---|
| Paper code | PHSI423 |
| Subject | Physics |
| EFTS | 0.0833 |
| Points | 10 points |
| Teaching period | Semester 1 (On campus) |
| Domestic Tuition Fees | Tuition Fees for 2023 have not yet been set |
| International Tuition Fees | Tuition Fees for international students are elsewhere on this website. |
- 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.
