Time Evolution of the Wavefunction in a 1D Infinite Square Well

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This Demonstration shows some solutions to the time-dependent Schrödinger equation for a 1D infinite square well. You can see how wavefunctions and probability densities evolve in time. You can set initial conditions as a linear combination of the first three energy eigenstates.

Contributed by: Jonathan Weinstein (June 2011)
(University of Nevada, Reno)
Open content licensed under CC BY-NC-SA


Snapshots


Details

Vary the time to see the evolution of the wavefunction of a particle of mass in an infinite square well of length . Initial conditions are a linear combination of the first three energy eigenstates . The amplitude of each coefficient is set by the sliders. The phase of each coefficient at is set by the sliders. The wavefunction is automatically normalized.

Position is in units of .

is in units of .

is in units of .

Energy is in units of .

Time is in units of energy units).



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