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Tying Knots in Wavefunctions

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If you have a question about this talk, please contact Callum Jones.

Tying a knot in a piece of string can be a hard practical problem. It seems even harder to tie a field into a knot — say a function from real 3-dimensional space to the complex numbers such that the function is zero on a curve which is a given knot or link. I will talk about some examples of knotted wavefunctions, where the function satisfies Schrödinger’s equation: how to design wavefunctions with specific knotted zero lines, realisable in laser beams, and how tangled knots appear in chaotic random 3D eigenfunctions.

This talk is part of the Cambridge University Physics Society series.

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