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1. develop a knowledge and understanding of the concept that quantum states live in a vector space;
2. develop a knowledge and understanding of the meaning of measurement;
3. elate this abstract formulation to wave and matrix mechanics;
4. develop a knowledge and understanding of perturbation theory, level splitting, and radiative transitions;
5. develop a knowledge and understanding of the relation between conservation laws and symmetries;
6. develop a knowledge and understanding of the role of angular momentum in atomic and nuclear physics;
7. develop a knowledge and understanding of the scattering matrix and partial wave analysis;
8. solve quantum mechanics problems;
9. use the tools, methodologies, language and conventions of physics to test and communicate ideas and explanations

This course will require ready access to the following texts and other resources:

Griffiths, D. J., Introduction to Quantum Mechanics, 2nd Edition (Pearson Prentice Hall, Upper Saddle River, NJ, 2005).

Sakurai, J.J. and Napolitano, J., Modern Quantum Mechanics, 2nd Edition (Pearson, Addison-Wesley, San Francisco, 2011)

MyUni: Teaching materials and course documentation will be posted on the MyUni website ().

This course will be delivered by the following means:

• Lectures 36 x 50-minute sessions with three sessions per week
• Tutorials 11 x 50-minute sessions with one session per week

A student enrolled in a 3 unit course, such as this, should expect to spend, on average 12 hours per week on the studies required. This includes both the formal contact time required to the course (e.g., lectures and practicals), as well as non-contact time (e.g., reading and revision).

The course content will include the following:

Coursework Content

• Dirac's Quantum Mechanics
  • Abstract ket vectors, dual bra-vector space and Dirac adjoint, Dirac operators, Schrödinger equation for kets
  • Overlap amplitudes , measurement, polarisation and spin states, "collapse of the wave function"
  • Hermitian and unitary operators, compatible observables, orthonormal ket basis, matrix elements
  • Dirac ladder operators for the oscillator and for angular momentum
  • Continuous eigenvalues, position and momentum wave functions as overlap amplitudes, relation to Fourier analysis
  • Ehrenfest's theorem, generalised Heisenberg Uncertainty Principle, time-energy uncertainty
• Time-Independent Perturbation Theory
  • Non-degenerate theory, e.g. distorted square well, anharmonic oscillator
  • Degenerate perturbation theory, 3-D oscillator, H atom, e.g. Zeeman effect
  • Time-dependent Phenomena
  • Schrödinger, Heisenberg and Interaction pictures
  • Time-evolution operator, perturbation series
  • Time-dependent perturbation theory, Golden Rule, radiative transitions
• Scattering
  • describe scattering using time-dependent perturbation theory
  • derive the formula for the t-matrix
  • relate the t-matrix to the differential cross section
  • understand the role of unitarity
• Symmetries in Quantum Mechanics
  • Symmetries and conservation laws, space and time translations
  • Discrete symmetries, parity and time-reversal
  • Rotations and angular momentum
  • Addition of angular momenta, orbital angular momentum and spin
  • Degeneracy in hydrogen
  • L-S and j-j coupling in atoms and nuclei
• Approximation Methods
  • variational method

To obtain a grade of Pass or better in this course, a student must attend the examination and achieve a result of 40% or better in the examination.

Tests: (30-40% of total course grade)
These will be used during the semester to address understanding of and ability to use the course material and to provide students a benchmark for the progress in the course.

Written Examination: (60-70% of total course grade)
One 3 hour exam is used to assess the understanding of and ability to use the material.

Poor performance in tests may be partly redeemed in the final exam.

Submission of Assigned Work
Coversheets must be completed and attached to all submitted work. Coversheets can be obtained from the School Office (room G33 Physics) or from MyUNI. Work should be submitted via the assignment drop box at the School Office.

Extensions for Assessment Tasks
Extensions of deadlines for assessment tasks may be allowed for reasonable causes. Such situations would include compassionate and medical grounds of the severity that would justify the awarding of a replacement examination. Evidence for the grounds must be provided when an extension is requested. Students are required to apply for an extension to the Course Coordinator before the assessment task is due. Extensions will not be provided on the grounds of poor prioritising of time. The assessment extension application form can be obtained from:  

Late submission of assessments
If an extension is not applied for, or not granted then a penalty for late submission will apply. A penalty of 10% of the value of the assignment for each calendar day that is late (i.e. weekends count as 2 days), up to a maximum of 50% of the available marks will be applied. This means that an assignment that is 5 days or more late without an approved extension can only receive a maximum of 50% of the mark.