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Quantum Mechanics (PHYC90007)

Graduate courseworkPoints: 12.5On Campus (Parkville)

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Overview

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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; the path integral approach; perturbation theory applications, and scattering theory.

Intended learning outcomes

On successful completion of this subject, students should be able to:

  • apply advanced quantum mechanics principles in a range of contexts of relevance in modern physics;
  • use the Hilbert-space formalism of modern quantum mechanics, with bra-ket and matrix notations, and symmetries and related conservation laws on the solution of graduate-level quantum mechanics problems;
  • demonstrate the use of density matrices for single and joint Hilbert spaces;
  • demonstrate the difference between pure and mixed states, and entanglement and their relevance in quantum mechanics;
  • understand the basic formalism of path integrals;
  • apply perturbation methods to physical systems and thus predict measurable outcomes; and
  • apply the concepts of scattering theory.

Generic skills

At the completion of this subject, students should have gained the ability to:

  • analyse and solve problems by applying simple fundamental laws to more complex situations;
  • apply abstract concepts to real-world problems;
  • use approximations to solve relatively complicated problems;
  • participate as an effective member of a group in discussions and collaborative assignments;
  • manage time effectively in order to be prepared for group discussions and undertake assignments and exams.

Last updated: 8 November 2024