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 |
Professor T Teubner Mathematical Sciences Thomas.Teubner@liverpool.ac.uk |
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Year | CATS Level | Semester | CATS Value |
Session 2024-25 | Level 6 FHEQ | First Semester | 15 |
Aims |
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The aim of the module is to lead the student to an understanding of the way that relatively simple mathematics (in modern terms) led Bohr, Einstein, Heisenberg and others to a radical change and improvement in our understanding of the microscopic world. |
Learning Outcomes |
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(LO1) To be able to solve Schrodinger's equation for simple systems. |
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(LO2) To have an understanding of the significance of quantum mechanics for both elementary systems and the behaviour of matter. |
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(S1) Problem solving skills |
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(S2) Numeracy |
Syllabus |
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- Historical introduction, wave-particle duality, quantisation. - Postulates of QM, operator formalism, Heisenberg's uncertainty principle. - Finite-dimensional Hilbert space, matrix mechanics. - Schrödinger equation, time-independent & time-dependent, bound-state and scattering solutions for simple one-dimensional systems. - Quantum Mechanics of the Simple Harmonic Oscillator. - Angular momentum in QM. - Approximation methods: Perturbation theory and variational method. - Central potential and hydrogen atom. - Paradoxa of QM. |
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. |
Pre-requisites before taking this module (other modules and/or general educational/academic requirements): |
MATH122 NEWTONIAN MECHANICS; MATH102 CALCULUS II; MATH101 Calculus I; MATH103 Introduction to Linear Algebra |
Co-requisite modules: |
Modules for which this module is a pre-requisite: |
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: |
Assessment |
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EXAM | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
final assessment on campus This is an anonymous assessment. | 120 | 70 | ||||
CONTINUOUS | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Homework 1 | 0 | 15 | ||||
Homework 2 | 0 | 15 |