(*Source code written in Mathematica 6.0 by Steve Byrnes, Apr. Both (E) and (F) are randomly-generated superpositions of the four lowest-energy eigenstates, (B-D) plus a fourth not shown. (E,F) are non-stationary states, solutions to the Time-Dependent but not Time-Independent Schrodinger Equation. (B,C,D) are stationary states (energy eigenstates), which come from solutions to the Time-Independent Schrodinger Equation. The horizontal axis is position, the vertical axis is the real part (blue) or imaginary part (red) of the wavefunction. ![]() In (B-F), wavefunction solutions to the Time-Dependent Schrodinger Equation are shown for the same geometry and potential. ![]() In (A), the particle moves at constant velocity, bouncing back and forth. ![]() English: Trajectories of a particle in a box (also called an infinite square well) in classical mechanics (A) and quantum mechanics (B-F).
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