## 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.