Quantum Mechanics - MAT00096H
Module summary
This module aims to provide a deeper understanding of quantum mechanics. The emphasis will be on the mathematical foundations of quantum mechanics as well as the conceptual changes compared to classical mechanics.
Related modules
Additional information
Post-requisite modules: Quantum Field Theory
Module will run
| Occurrence | Teaching period |
|---|---|
| A | Semester 2 2024-25 |
Module aims
This module aims to provide a deeper understanding of quantum mechanics. The emphasis will be on the mathematical foundations of quantum mechanics as well as the conceptual changes compared to classical mechanics.
Module learning outcomes
By the end of the module, students will be able to:
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Use the abstract operator formalism of quantum mechanics for quantum states and observables;
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Explain the description of quantum mechanics in terms of position or momentum representations using "wave functions";
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Describe the harmonic oscillator and angular momentum within quantum theory;
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Describe features of quantum mechanics distinguishing it from classical mechanics, e.g. tunnelling, Heisenberg’s uncertainty relation and commutation relations.
Module content
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Develop quantum theory of particles considering the position and momentum representations of wavefunctions
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Discuss different observables including angular momentum
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Learn about measurements, expectation values and probability densities
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Learn more about quantum dynamics and the Schroedinger equation
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Discuss symmetries in quantum mechanics and identical particles
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See illustrations of these ideas with applications to Heisenberg’s uncertainty relation, quantum tunnelling and the harmonic oscillator.
Indicative assessment
| Task | % of module mark |
|---|---|
| Closed/in-person Exam (Centrally scheduled) | 100 |
Special assessment rules
None
Indicative reassessment
| Task | % of module mark |
|---|---|
| Closed/in-person Exam (Centrally scheduled) | 100 |
Module feedback
Current Department policy on feedback is available in the student handbook. Coursework and examinations will be marked and returned in accordance with this policy
Indicative reading
R Shankar, Principles of Quantum Mechanics, Springer (U 0.123 SHA)
L I Schiff, Quantum Mechanics, McGraw-Hill (U 0.123 SCH)
S Gasiorowicz, Quantum Physics (2nd edition), J. Wiley (U 0.12 GAS)