Quantum Mechanics

Subject PHYC90007 (2016)

Note: This is an archived Handbook entry from 2016.

Credit Points: 12.5
Level: 9 (Graduate/Postgraduate)
Dates & Locations:

This subject has the following teaching availabilities in 2016:

Semester 1, Parkville - Taught on campus.
Pre-teaching Period Start not applicable
Teaching Period 29-Feb-2016 to 29-May-2016
Assessment Period End 24-Jun-2016
Last date to Self-Enrol 11-Mar-2016
Census Date 31-Mar-2016
Last date to Withdraw without fail 06-May-2016


Timetable can be viewed here. For information about these dates, click here.
Time Commitment: Contact Hours: 36 hours comprising 3 one-hour lectures/week
Total Time Commitment:

170 hours

Prerequisites:

A third-year subject in quantum mechanics equivalent to

Subject
Study Period Commencement:
Credit Points:
Semester 1
12.50

A third-year subject in electrodynamics equivalent to

Subject
Study Period Commencement:
Credit Points:
Semester 1
12.50
Corequisites:

None

Recommended Background Knowledge:

None

Non Allowed Subjects:

None

Core Participation Requirements:

It is University policy to take all reasonable steps to minimise the impact of disability upon academic study and reasonable steps will be made to enhance a student's participation in the University's programs. This subject requires all students to actively and safely participate in laboratory activities. Students who feel their disability may impact upon their participation are encouraged to discuss this with the subject coordinator and the Disability Liaison Unit.

Coordinator

Assoc Prof Jeffrey Mccallum

Contact

Email: msc@physics.unimelb.edu.au

Subject Overview:

Quantum Mechanics introduces a dramatically new and rich understanding of the universe. In addition to providing a much deeper insight into the world of atoms and subatomic particles than afforded by classical Newtonian physics, Quantum Mechanics underpins advances in science across all disciplines, from molecular biology to astrophysics. This subject provides a rigorous mathematical formalism for advanced quantum mechanics, laying the foundation for further fundamental theoretical physics and research-level experimental physics in frontier areas such as quantum communication and quantum computation.

The subject describes the Hilbert-space formulation of quantum wave mechanics, including density matrix descriptions for single and joint Hilbert space systems; symmetries and conservation laws including rotations and angular momentum; many-body systems of identical particles; time-dependent perturbation theory, and scattering theory.

Learning Outcomes:

The objectives of this subject are:

  • understanding the Hilbert-space formalism of modern quantum mechanics, with bra-ket and matrix notations, and the role of symmetries and related conservation laws;
  • understanding density matrices for single and joint Hilbert spaces, the difference between pure and mixed states, and entanglement;
  • understanding how many-body systems can be treated with a modern quantum mechanical framework;
  • ability to apply time-dependent perturbation methods to physical systems and thus predict measurable outcomes;
Assessment:

Two assignments totalling up to 36 pages of written work (20%), one due mid-semester and the other due late-semester, plus one 4-hour end-of-semester written examination (80%).

Prescribed Texts:

Modern Quantum Mechanics, 2nd edition, JJ Sakurai and JJ Napolitano, Addison-Wesley/Pearson

Recommended Texts:

Quantum Mechanics, E Merzbacher, Wiley, 3rd edition.

Breadth Options:

This subject is not available as a breadth subject.

Fees Information: Subject EFTSL, Level, Discipline & Census Date
Generic Skills:

At the completion of this subject, students should have gained skills in:

  • analysing how to solve a problem by applying simple fundamental laws to more complicated situations;
  • applying abstract concepts to real-world situations;
  • solving relatively complicated problems using approximations;
  • participating as an effective member of a group in discussions and collaborative assignments;
  • managing time effectively in order to be prepared for group discussions and undertake the assignments and exam.
Related Course(s): Doctor of Philosophy - Engineering
Master of Philosophy - Engineering
Master of Science (Physics)
Related Majors/Minors/Specialisations: Approved Masters level subjects from other departments
Physics
Physics

Download PDF version.