Time Evolution of a Quantum Free Particle in 2D
Time Evolution of a Quantum Free Particle in 2D
This Demonstration shows the time evolution and dispersion relation for a 2D quantum free particle represented by , where ,(x,y)= and ,=+ are the eigenfunctions and energy levels, respectively, for . The left graphic shows the complex wavefunction , where the shape is its modulus and the coloring is according to its argument, the range to corresponding to colors from red to magenta. The right panel shows a surface plot of the 2D quadratic dispersion relation, .
ψ(x,y,t)=,(x,y)
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-,t/ℏ
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2π
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2π
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-∞<,<∞
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ω(,)=,ℏ
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