Module Details |
| The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module. |
| Title | QUANTUM MECHANICS | ||
| Code | MATH325 | ||
| Coordinator |
Prof JA Gracey Mathematical Sciences Gracey@liverpool.ac.uk |
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| Year | CATS Level | Semester | CATS Value |
| Session 2016-17 | Level 6 FHEQ | First Semester | 15 |
Aims |
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The development of Quantum Mechanics, requiring as it did revolutionary changes in our understanding of the nature of reality, was arguably the greatest conceptual achievement of all time. The aim of the module is to lead the student to an understanding of the way that relatively simple mathemactics (in modern terms) led Bohr, Einstein, Heisenberg and others to a radical change and improvement in our understanding of the microscopic world. |
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Learning Outcomes |
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After completing the module students should be able to solve Schrodinger''s equation for simple systems, and have some intuitive understanding of the significance of quantum mechanics for both elementary systems and the behaviour of matter. |
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Syllabus |
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| 1 |
1 Wave particle duality. Schrodinger''s equation for simple one dimensional systems. Finite-dimensional Hilbert space and matrix mechanics. Quantum Mechanics of Simple Harmonic Oscillation. Angular momentum and the hydrogen atom. Perturbation theory and the variational method. Collapse of the wave function, Schrodinger''s cat and the EPR paradox. |
Recommended Texts |
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Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module. Explanation of Reading List: |
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Pre-requisites before taking this module (other modules and/or general educational/academic requirements): |
| MATH101; MATH122; MATH201*; MATH224*; MATH102; MATH103 *Either MATH201 or MATH224 required. |
Co-requisite modules: |
Modules for which this module is a pre-requisite: |
| MATH425; MATH423 |
Programme(s) (including Year of Study) to which this module is available on a required basis: |
Programme(s) (including Year of Study) to which this module is available on an optional basis: |
| Programme:G100 Year:3 Programme:G101 Year:3,4 Programme:G110 Year:3 Programme:G1F7 Year:3 Programme:G1N2 Year:3 Programme:G1R9 Year:4 Programme:G1X3 Year:3 Programme:GG13 Year:3 Programme:GN11 Year:3 Programme:F344 Year:3,4 Programme:GG14 Year:3 Programme:FGH1 Year:3,4 Programme:FG31 Year:3 Programme:GL11 Year:3 Programme:GR11 Year:4 Programme:GV15 Year:3 Programme:BCG0 Year:3 Programme:L000 Year:3 Programme:Y001 Year:3 Programme:MMAS Year:1 |
Assessment |
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| EXAM | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
| Unseen Written Exam | 2.5 hours | First semester | 100 | Yes | Standard UoL penalty applies | Assessment 1 Notes (applying to all assessments) Full marks can be obtained for complete answers to FIVE questions. Only the best FIVE answers will be counted. Marks for parts of questions may be subject to small adjustments. |
| CONTINUOUS | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |