Quantum Theory
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Time Evolution of a free particle with an initial wavefunction resulting in a Gaussian probability density (black) for finding the particle in space. The wavefunction itself is complex, and its real part is shown in red. The probability density at a slightly later time is shown in gold, indicating that the particle is moving to the right. However, the probability density broadens as it moves to the right, making the particle less localized as time increases. Image generated by the program free-wavepacket.R.

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