〈 Berger | Dillon 〉

The Heisenberg Uncertainty Principle (Δx Δp ≳ ℏ) • Implies that there really is no such thing as 'a particle is at 𝑥 with momentum 𝑝' • That is, the more narrow the 𝑥-PDF |Ψ(x)|², the more broad the 𝑝-PDF |Φ(p)|² will become & vice versa ()pic.twitter.com/6AUqy3Mpt1

I made this animation by directly following the rules of Quantum Mechanics •For a given state Ψ(x), the probability amplitude for momentum Φ(p) is the Fourier Transform of Ψ(x) The animation is made by varying the parameter (a) Note that: Lim(Ψ, a→0) = δ(x)pic.twitter.com/kP2b8AHeBD