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Tag: Crank-Nicholson

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Published on 1 Comment on Time-dependent potentials

The time-dependent solution of the Schrödinger equation, for a time-dependent potential, can be obtained with the Crank-Nicholson method. Some examples are shown below.


A Gaussian wave packet in a time-dependent potential (based on an original ideal of GW graduate A. Lange).

The Gaussian wave packet in this example maintains its shape, even if the harmonic oscillator potential has a nontrivial time dependence; is there a proof for that?

Another Gaussian wave packet in another potential (based on an original idea by Andy Sargent).

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