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On the teaching of quantum theory to post-16 students

An essay submitted as part of my PGCE, discussing how recent developments in quantum theory (specifically pilot-wave theory) should be taken into account in the post-16 physics syllabus.


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MSc Dissertation

Pilot-wave Scalar Field Theory in the Schrödinger Representation

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MPhys Dissertation

Wanders in Diffusion Monte Carlo

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Velocity field

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Explanation

Another one on the theme of DeBroglie-Bohm Pilot wave theory. This is an animation of the velocity field associated with the superposition of the first 16 modes with equal weighting and different phases as outlined in Valentini-Westman 2005 (Proc. Roy. Soc. A). The velocity field is represented as arrows, which may only become apparent in the large version.

Relaxation

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Explanation

Another one on the theme of DeBroglie-Bohm Pilot wave theory. This is an animation of how a uniform \rho would act under the influence of the wavefunction outlined in Valentini-Westman 2005 (Proc. Roy. Soc. A). Note the speed of relaxation

\Huge{\|\Psi\|^{2}} … evolution of a 16 mode superposition

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Explanation

Another one on the theme of DeBroglie-Bohm Pilot wave theory. This is an animation of \Huge{\|\Psi\|^{2}} associated with the superposition of the first 16 modes with equal weighting and different phases as outlined in Valentini-Westman 2005 (Proc. Roy. Soc. A). The animation runs for t=0\rightarrow \pi, half a period. Notice the symmetry in the first and last frames.

Disco Psi

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Explanation

Another one on the theme of DeBroglie-Bohm Pilot wave theory. This is meant to show how a particle, chosen to start in the centre of the box will tend to stay in regions of large \|\Psi\|^{2}. Make sure you notice that there is a particle moving around, don’t get blinded by the lights.