Quantum Fractals [QBE Ep. 3]

Episode 3 of Quantum on the Back of an Envelope [QBE].
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In this episode of Quantum on the Back of an Envelope, we explore quantum fractals through one of the simplest quantum-mechanical systems: the particle in a box. The fractal wave function discussed here is based on the paper: M. V. Berry, Quantum fractals in boxes, J. Phys. A: Math. Gen. 29, 6617 (1996).