Fourier Optics and Time Evolution of De Broglie Wave Packets

Details Fourier Optics and Time Evolution of De Broglie Wave Packets Fourier Optics and Time Evolution of De Broglie Wave Packets

2011-12-06

arxiv.org/abs/1112.1242v2

Physics

Quantum Physics

8 pages, 2 figures. Revised introduction. Added references

Scientific paper

We prove that, under the condition of validity of the Fresnel approximation, diffraction and interference for a wave traveling in the z-direction may be described in terms of the spreading in time of the transverse (x,y)-wave packet. The time required for the evolved wave packet to yield identical patterns as given by standard optics corresponds to the time for the quantum to cross the optical apparatus. This point of view may provide interesting cues in wave mechanics and quantum physics education.

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