- » PHYSICS 625: Selected Topics 1
- » PHYSICS 626: Selected Topics 2
- » PHYSICS 681: Experimental Physics
- » PHYSICS 690A&B: Graduate Diploma Dissertation (Physics)
- » PHYSICS 691A&B: PG Diploma Dissertation (Physics)
- » PHYSICS 703: Advanced Quantum Mechanics
- » PHYSICS 741: Advanced Classical Mechanics and Electrodynamics
- » PHYSICS 742: Adavanced Statistical Mechanics and Condensed Matter
- » PHYSICS 743: Waves and Potentials
- » PHYSICS 746: Relativistic Quantum Mechanics and Field Theory
- » PHYSICS 748: General Relativity
- » PHYSICS 751: Selected Topics 2
- » PHYSICS 752: Photonics
- » PHYSICS 753: The Dynamic Universe
- » PHYSICS 754: Condensed Matter Physics
- » PHYSICS 757: Quantum Optics and Quantum Information
- » PHYSICS 780: Advanced Imaging Technologies
- » PHYSICS 787: Project in Physics
- » PHYSICS 789/789A&B: Bachelor of Science (Honours) Dissertation in Physics
- » PHYSICS 791: Selected Topics 3
- » PHYSICS 792: Selected Topics 4
- » PHYSICS 796A&B: MSc Thesis in Physics
- » GEOPHYS 711: Geophysical Fluid Dynamics
- » GEOPHYS 712: Climate Dynamics
- » GEOPHYS 713: Turbulent Processes in Climate
- » GEOPHYS 760: Integrated Basin Exploration
- » GEOPHYS 761: Subsurface Characterisation with Geophysical Methods
- » GEOPHYS 780: Special Topic
- » GEOPHYS 796A&B: MSc Thesis in Geophysics
- » MATHS 761: Dynamical Systems
- » MATHS 763: Advanced Partial Differential Equations
- » MATHS 789: Inverse Problems (Formerly Physics 707)

## Department of Physics

# Postgraduate courses

## PHYSICS 625: Selected Topics 1

Enrolment requires approval of the Head of Department and the choice of subject will depend on staff availability or on the needs of particular students.

## PHYSICS 626: Selected Topics 2

Enrolment requires approval of the Head of Department and the choice of subject will depend on staff availability or on the needs of particular students.

## PHYSICS 681: Experimental Physics

A selection of experiments appropriate to the student’s lecture courses for the Diploma. Requires the approval of the Head of Department.

## PHYSICS 690A&B: Graduate Diploma Dissertation (Physics)

To complete this course students must enrol in PHYSICS 690 A and B.

## PHYSICS 691A&B: PG Diploma Dissertation (Physics)

To complete this course students must enrol in PHYSICS 691 A and B.

## PHYSICS 703: Advanced Quantum Mechanics

**Offered:** Semester 1**
Credit:** 15 points

**None**

Pre-/Co-requisites:

Pre-/Co-requisites:

An advanced development of nonrelativistic quantum mechanics in the Dirac formulation is presented. Emphasis is placed on the simplicity and generality of the formal structure, lifting the reliance of introductory courses on wave mechanics.

**Organiser:** Howard Carmichael

**Course Outline: **Physics 703

## PHYSICS 741: Advanced Classical Mechanics and Electrodynamics

**Offered: **Semester 1**
Credit: **15 Points

**TBC**

Pre-/Co-requisites:

Pre-/Co-requisites:

Develops and deepens students’ knowledge and understanding of advanced topics in classical mechanics and electromagnetism, including variational and least action principles in mechanics, the physical basis of magnetism; and the four-vector treatment of special relativity and electromagnetism. **Restriction: **PHYSICS 331, 705

**Organiser:** Malcolm Grimson

**Course Outline: ** Coursework 40% and Exam 60%

## PHYSICS 742: Adavanced Statistical Mechanics and Condensed Matter

**Offered: **TBC**
Credit: **TBC

**TBC**

Pre-/Co-requisites:

Pre-/Co-requisites:

Advanced concepts in statistical mechanics and condensed matter. Topics to be covered include the theory of magnetism, mean field theory, the Ising model, superconductivity, phase transitions, complex systems, and networks.** Restriction**: PHYSICS 708

**Organiser:** Dion O'Neale

**Course Outline: **TBC

## PHYSICS 743: Waves and Potentials

**Offered: **Semester 1**
Credit: **15 Points

**TBC**

Pre-/Co-requisites:

Pre-/Co-requisites:

Presents the universal mathematical physics of waves and potential fields and discusses related applications. Topics include derivations and solutions for electromagnetic and elastic wave equations, propagation of waves in media, reflection and transmission of waves at interfaces, guided waves in geophysics and optics, and fundamentals of potential theory.

**Organiser:** Kasper van Wijk

**Course Outline: **TBC

## PHYSICS 746: Relativistic Quantum Mechanics and Field Theory

**Offered: **Semester 2**
Credit: **15 Points

**TBC**

Pre-/Co-requisites:

Pre-/Co-requisites:

Examines quantum field theory. Covers the relativistic generalisations of the Schrödinger equation and many-particle quantum mechanics, quantum electrodynamics is explored using Feynman diagram techniques. Extensions of scalar field theory to include path integrals, statistical field theory, broken symmetry, renormalization and the renormalisation group.

**Restriction**: PHYSICS 706, 755

**Organiser:** Malcolm Grimson

**Course Outline: **TBC

## PHYSICS 748: General Relativity

**Offered: **Semester 2**
Credit: **15 Points

**TBC**

Pre-/Co-requisites:

Pre-/Co-requisites:

Discusses Einstein’s General Theory of Relativity with application to astrophysical problems, drawn from black hole physics, gravitational waves, cosmology, astrophysical lensing and solar system and terrestrial tests of the theory. The course includes the mathematical background needed to describe curved spacetimes in arbitrary coordinate systems and the covariant description of fundamental physical relationships.

**Organiser:** Shaun Hotchkiss

**Course Outline: **TBC

## PHYSICS 751: Selected Topics 2

Enrolment requires approval of the Head of Department and the choice of subject will depend on staff availability or on the needs of particular students.

## PHYSICS 752: Photonics

**Offered: **Semester 2**
Credit: **15 Points

**Physics 333 or equivalent recommended**

Pre-/Co-requisites:

Pre-/Co-requisites:

Advanced topics in photonics including optical detection, semiconductor and modelocked lasers, the propagation of light in optical fibres, and the physics and applications of nonlinear optics. **Restriction**: PHYSICS 726, 727

**Organiser:** Stuart Murdoch

**Course Outline: **TBC

## PHYSICS 753: The Dynamic Universe

**Offered: **Semester 2**
Credit: **15 Points

**TBC**

Pre-/Co-requisites:

Pre-/Co-requisites:

Covers topics in modern astronomy and astrophysics relating to the evolution and dynamics of key astrophysical systems. Topics will be drawn from: stellar structure and stellar evolution; the formation of planets and the evolution of planetary systems; stellar and galactic dynamics; the large scale dynamical behaviour of the expanding universe.

**Organiser:** JJ Eldridge

**Course Outline: **TBC

## PHYSICS 754: Condensed Matter Physics

**Offered:** Semester 2**
Credit:** 15 points

**None**

Pre-/Co-requisites:

Pre-/Co-requisites:

Covers topics and methods that are important for current condensed matter research. Topics include ferroelectricity, soft condensed matter, experimental materials physics, electronic structure theory, techniques for condensed matter simulation, and renormalisation group theory.

**Organiser:** Malcolm Grimson

**Course Outline: **Physics 754

## PHYSICS 757: Quantum Optics and Quantum Information

**Offered: **Semester 2

**Credit: **15 Points

**Pre-/Co-requisites:** TBC

The nonrelativistic quantum treatment of electromagnetic radiation (light) and its interaction with matter (atoms, quantum dots, superconducting qubits) is presented. Emphasis is placed on what is strictly quantum mechanical about light compared with a description in terms of Maxwell waves, and on the concepts and methods underlying modern advances in quantum measurement theory and quantum technologies, e.g., quantum communication/cryptology and quantum simulation/computation.

**Restriction:** Physics 760

**Organiser:** Maarten Hoogerland

**Course Outline: **TBC

## PHYSICS 780: Advanced Imaging Technologies

**Offered: **Semester 1**
Credit: **15 points

**No formal prerequisite, but an understanding of material to at least a B grade standard in PHYSICS 340, 244, and 15 points from PHYSICS 211, MATHS 253, 260, ENGSCI 211**

Pre-/Co-requisites:

Pre-/Co-requisites:

Covers the physical basis and use of new imaging technologies and data processing in medicine, biomedicine and biotechnology. Makes use of practical examples from techniques such as computer assisted tomgraphy, nonlinear microscopy, optical coherence tomography, fluorescence or microarray analysis.

**Organiser:** Frederique Vanholsbeeck

**Course Outline: **Physics 780

## PHYSICS 787: Project in Physics

An independent research study potentially conducted in conjunction with an industry partner.

## PHYSICS 791: Selected Topics 3

## PHYSICS 792: Selected Topics 4

## PHYSICS 796A&B: MSc Thesis in Physics

To complete this course students must enrol in PHYSICS 796 A and B.

## GEOPHYS 711: Geophysical Fluid Dynamics

**Offered:** Semester 1**
Credit:** 15 points

**None**

Pre-/Co-requisites:

Pre-/Co-requisites:

Explores geophysical fluid flow dynamics in the atmosphere and ocean. Rotation and stratification in the atmosphere and ocean lead to fascinating characteristics of geophysical fluid flow that will be explained mathematically and/or numerically. Topics include the general circulation, Hadley and midlatitude circulations in the atmosphere, Sverdrup balance and western boundary currents in the ocean, quasi-geostrophic model, waves, and instabilities.

**Assessment:** Coursework 50%, Exam 50%

**Course Coordinator**: Gilles Bellon

## GEOPHYS 712: Climate Dynamics

**Offered:** Semester 2**
Credit:** 15 points

**None**

Pre-/Co-requisites:

Pre-/Co-requisites:

Examines physical processes underlying Earth's climate and variations of climate in both space and time, providing a basis for understanding, observing, modelling and predicting natural and anthropogenic climate changes. Topics include Earth's energy budget, atmospheric radiation, greenhouse effect, ocean heat content, the meridional heating imbalance that drives the general circulation, and seasonal and long-term climate variations and changes.

**Assessment:** Coursework 50%, Exam 50%

**Course Coordinator**: Tra Dinh

## GEOPHYS 713: Turbulent Processes in Climate

**Offered:** Semester 1**
Credit:** 15 points

**None**

Pre-/Co-requisites:

Pre-/Co-requisites:

Examines turbulent processes in the atmosphere, oceans, and at their interface, and the associated transport and exchange of momentum, energy, and moisture. In the atmosphere these processes include phase changes and the course will explore cloud formation, dynamics, and precipitation.

**Assessment:** Coursework 50%, Exam 50%

**Course Coordinator**: Gilles Bellon

## GEOPHYS 760: Integrated Basin Exploration

**Offered:** Semester 1**
Credit:** 15 points

**Prerequisite**: EARTHSCI 361 or GEOLOGY 361 or GEOPHYS 361 or equivalent.

Students will conduct exploration and characterisation of a sedimentary reservoir in the context of basin analysis. The geological background of a sedimentary reservoir is supported by a one-day field trip to Waiheke to understand scale, facies and depositional processes and their relation to seismic imaging. The course is project based and students will independently develop a geological model by integrating field observations, seismic velocity analysis and, borehole and 3D seismic interpretation.

**Organiser:** Ludmila Adam

## GEOPHYS 761: Subsurface Characterisation with Geophysical Methods

**Offered: **Semester 2**
Credit:** 15 points

**: GEOPHYS 330, EARTHSCI 361 or GEOLOGY 361 or GEOPHYS 361 or equivalent**

Prerequisite

Prerequisite

**Restriction**: GEOPHYS 763

Pertains to subsurface characterisation through the inversion of geophysical observations. The course covers a combination of rock physics, seismic methods, ground-penetrating radar, as well as gravity, magnetic and electrical methods.

**Organiser:** Kasper van Wijk

## GEOPHYS 780: Special Topic

This is a practical course covering new developments in geophysical modelling. Course begins with a fieldtrip and includes lectures, labs and a computation project designed to give students a fundamental understanding of real-earth complexity in fluid/rock interactions. Wide application to topical issues in the earth sciences such as reservoir characterisation, CO2 sequestration, groundwater modelling, pollution monitoring and earthquake processes. The nature and scales of heterogeneity in crustal systems will be introduced and computational tools for seismological and geofluid flow modelling will be used to develop advanced problem- solving skills. Assessment is 100% in course.

Prerequisite: Background in maths and physics to Stage 2 level and proficiency at Matlab (or equivalent) will be assumed.

## GEOPHYS 796A&B: MSc Thesis in Geophysics

To complete these courses students must enrol in the A & B component of the course.

## MATHS 761: Dynamical Systems

Mathematical models of systems that change are frequently written in the form of nonlinear differential equations, but it is usually not possible to write down explicit solutions to these equations. This course covers analytical and numerical techniques that are useful for determining the qualitative properties of solutions to nonlinear differential equations.

## MATHS 763: Advanced Partial Differential Equations

A study of exact and approximate methods of solution for the linear partial differential equations that frequently arise in applications.

## MATHS 789: Inverse Problems (Formerly Physics 707)

Inverse problems are unstable problems that are encountered in all fields of science and engineering. Inverse problems can be characterised as problems that tolerate measurement and modelling errors poorly. Topics include: Introduction to Hilbert spaces and linear operator theory; Introduction to inverse problems; Singular value decomposition and pseudo-inverses; Tikhonov regularisation; Nonlinear problems and iterative methods; Introduction to Bayesian framework for inverse problems, Gaussian linear problems, construction of likelihood and prior models; Markov chain Monte Carlo.