mat3dq dynamics
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
Learning resources
Readings
| Resource Type | Title | Resource Requirement | Author and Year | Publisher |
|---|---|---|---|---|
| Readings | Dynamics and Quantum Mechanics | Prescribed | Department-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
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