In quantum mechanics, a quantum carpet is a regular art-like pattern drawn by the wave function evolution or the probability density in the space of Cartesian product of the quantum particle position coordinate and the time or in the spacetime resembling the carpet art. It is the result of the wave function self-interference during its interaction with reflecting boundaries. For example, in the infinite potential well while after the spread of the initial well localized Gaussian wave packet in the center of the well various pieces of the wave function start to overlap and interfere with each other after the reflection from or the interaction with the boundaries. The geometry of a quantum carpet is mainly determined by the quantum fractional revivals.
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