DYNAMICS AND QUANTUM MECHANICS

MAT3DQ

Not currently offered

Credit points: 15

Subject outline

The subject is in two separate but related parts. The first part covers classical mechanics using the approach pioneered by William Hamilton, which produces symmetrical systems of differential equations for which the symmetry properties provide an aid to solution and analysis. This approach to classical mechanics provides the foundation for a study of quantum mechanics, the theory of microscopic systems, which is studied in the second part of the subject.

SchoolSchool Engineering&Mathematical Sciences

Credit points15

Subject Co-ordinatorYuri Nikolayevsky

Available to Study Abroad StudentsYes

Subject year levelYear Level 3 - UG

Exchange StudentsYes

Subject particulars

Subject rules

Prerequisites MAT2MEC

Co-requisitesN/A

Incompatible subjectsN/A

Equivalent subjectsN/A

Special conditionsN/A

Readings

Resource TypeTitleResource RequirementAuthor and YearPublisher
ReadingsDynamics and Quantum MechanicsPrescribedDepartment-produced printed texts,AVAILABLE FROM BOOKSHOP

Graduate capabilities & intended learning outcomes

01. Use appropriate coordinate systems to describe the kinetic and the potential energy of simple mechanical systems.

Activities:
Modelled in lectures, with reinforcement in practice classes and marked feedback in assignments.
Related graduate capabilities and elements:
Critical Thinking (Critical Thinking)
Creative Problem-solving (Creative Problem-solving)
Quantitative Literacy/ Numeracy (Quantitative Literacy/ Numeracy)
Discipline-specific GCs (Discipline-specific GCs)

02. Derive, and in simple cases solve, the systems of first order linear equations which result from a knowledge of the energy of a conservative system.

Activities:
Modelled in lectures, with reinforcement in practice classes and marked feedback in assignments.
Related graduate capabilities and elements:
Quantitative Literacy/ Numeracy (Quantitative Literacy/ Numeracy)
Discipline-specific GCs (Discipline-specific GCs)
Creative Problem-solving (Creative Problem-solving)
Critical Thinking (Critical Thinking)

03. Describe the classical motion of a system with n degrees of freedom by trajectories in a 2n-dimensional phase space.

Activities:
Modelled in lectures, with reinforcement in practice classes and marked feedback in assignments.
Related graduate capabilities and elements:
Quantitative Literacy/ Numeracy (Quantitative Literacy/ Numeracy)
Discipline-specific GCs (Discipline-specific GCs)
Creative Problem-solving (Creative Problem-solving)
Critical Thinking (Critical Thinking)
Writing (Writing)

04. In written work, can use the algebraic representation of states and observables in quantum mechanics for expressing probability and uncertainty.

Activities:
Modelled in lectures, with reinforcement in practice classes and marked feedback in assignments.
Related graduate capabilities and elements:
Quantitative Literacy/ Numeracy (Quantitative Literacy/ Numeracy)
Critical Thinking (Critical Thinking)
Writing (Writing)
Discipline-specific GCs (Discipline-specific GCs)
Creative Problem-solving (Creative Problem-solving)

05. Use the special role of eigenstates, eigenvalues and related measurement outcomes to solve problems in quantum mechanics.

Activities:
Modelled in lectures, with reinforcement in practice classes and marked feedback in assignments.
Related graduate capabilities and elements:
Creative Problem-solving (Creative Problem-solving)
Discipline-specific GCs (Discipline-specific GCs)
Quantitative Literacy/ Numeracy (Quantitative Literacy/ Numeracy)
Critical Thinking (Critical Thinking)

06. Analyse several specific quantum systems and explain these in written work.

Activities:
Modelled in lectures, with reinforcement in practice classes and marked feedback in assignments.
Related graduate capabilities and elements:
Discipline-specific GCs (Discipline-specific GCs)
Inquiry/ Research (Inquiry/ Research)
Creative Problem-solving (Creative Problem-solving)
Writing (Writing)
Critical Thinking (Critical Thinking)
Quantitative Literacy/ Numeracy (Quantitative Literacy/ Numeracy)

Subject options

Select to view your study options…

Start date between: and    Key dates

Subject not currently offered - Subject options not available.