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Institute of Optics

Gaussian Wave Packet in the Infinite Square Well

This animation shows the probability density of a Gaussian-shaped wave packet excited in the infinite square well potential.

Gaussian Wave Packet

The dynamics of this wave packet are exactly periodic, with the period given in terms of the mass m of the particle and the length L of the square well, with:

Trev equation

At simple fractions of this time Trev, the probability density shows fractional revivals, consisting of several clones of the original Gaussian shape, distributed uniformly across the square well.

More information on wave packets in the infinite square well can be found in the paper:

Fractional wave-function revivals in the infinite square well
David L. Aronstein and C. R. Stroud, Jr.
Phys. Rev. A 55, 4526 (1997).


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Web page maintained by
Hideomi Nihira ( nihira@optics.rochester.edu ).
Last modified 13 September 2006