On the MSc in Physics, no previous specialist knowledge in the areas in which we offer projects is assumed, but a good working knowledge of both mathematics and modern physics will be assumed. Some topics of particular importance are listed below. Prospective students are advised to revise them, or acquaint themselves with them, before attending the degree course.
Are you ready for your MSc studies? You are strongly encouraged to take this self-evaluation test covering many of the important topics below. This will identify any areas that might need revision or further study.
The topics to revise depend on the research topic you choose to study but I would recommend becoming familiar with:
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Vector methods (grad, div, curl, Laplacian, divergence, Stoke's and Green's theorems)
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Solutions of simple ordinary and partial differential equations
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Orthogonal curvilinear coordinates (spherical polars, cylindrical polars)
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Fourier transforms and integrals in 3D
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Dirac delta function
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Contour integration (Cauchy's Theorem)
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Atomic physics: atomic energy levels, spectral lines
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Nuclear physics: nuclear binding energy, energy release from nuclear reactions
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Particle physics: Natural units, scattering cross-sections
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Quantum mechanics: Heisenberg uncertainty principle, wavefunctions, hydrogen atom, harmonic oscillator, ladder operators, Dirac bra-ket notation
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Thermodynamics and statistical physics: the laws of thermodynamics and the basic idea of thermodynamic equilibrium
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Mechanics: Newton's laws, motion of rigid bodies, Lagrangian formulation
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Electricity and magnetism: Maxwell's equations, electromagnetic wave propagation,motion of a charged particle in an electromagnetic field
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Potential theory: potentials due to distribution of mass (gravitation) and charge (electrostatic)
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Fluid dynamics: equations of continuity and motion of a fluid in the absence of viscosity
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Special relativity: basic ideas including variation of mass with velocity and the Lorentz transformation, space-time interval, 4-vectors
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Optics: concepts important in design of astronomical instruments (diffraction, interference, polarisation)
The following are also recommended undergraduate textbooks:
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M.L. Boas, Mathematical Methods in the Physical Sciences, Wiley
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Paul A Tipler, Physics for scientists and engineers, Freeman