Happy new year for you and your loved ones! Here we use the Schrödinger equation to evolve an initially noisy wavefunction Ψ (at t=-1) until it reaches a specific shape (at t=0). We achieved this using the reversibility of the Schrödinger equation: we input our target shape (2026) at t=0, evolve to t=1 and then conjugate Ψ to time reverse the evolution. This is the initial condition shown at t=-1. The domain is a periodic square of length 1 and there is no potential V. We chose ħ/2m = 1/100 and
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Happy new year for you and your loved ones! Here we use the Schr…
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TikTokfieldsolver
Merry Christmas for you and your loved ones! Here we use the wave equation to evolve seven pulses of radius 1/100 inside a complex domain of height 1. The pulses spread radially until they reach the boundaries, where they are reflected back over and over again, filling the whole region. The parameters used are dt = 1e-3 and c=1. #physics #mathematics #differentialequations #calculus #visualization #numericalmethods #waves
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Merry Christmas for you and your loved ones! Here we use the wave …
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