File:SquareOscillation1.gif

Summary

Description
English: Square well animation of a pseudo-Gaussian packet with Δ≈L/8 and k≈12π/L, and hence wavelength between phase peaks of λ = L/6. In real-time the classical-period is about 2 seconds while the exact-revival period is about 2×12×2 = 48 seconds. The white dot shows the classical oscillation.
Date
Source Own work
Author P. Fraundorf

Extended caption

This wavepacket with Δ≈L/8 & k≈12π/L with position x vertical and time t from left to right.

As shown in the time-map at right, this packet goes in and out of sync with the classical oscillator almost as though there were two particles playing a complementary role in the potential well, each fading in and out with the 4L/v1 period of the quantum revival.

This bifurcation into two packets, due to boundary conditions of the infinite well, appears to persist into the classical limit even though the oscillation period of average position extrapolates beautifully[1].

Footnotes

  1. Daniel F. Styer (2001) "Quantum revivals versus classical periodicity in the infinite square well", American Journal of Physics 69, 56 link.

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Category:CC-BY-SA-3.0#SquareOscillation1.gifCategory:Self-published work
Category:Animations of quantum wave functions Category:Animated GIF files
Category:Animated GIF files Category:Animations of quantum wave functions Category:CC-BY-SA-3.0 Category:Self-published work