Random Sphere I

NOTE: MUST CREDIT THE IMAGES AND NOTIFY ERIC J. HELLER WHEN AND WHERE THE IMAGES ARE USED

Illustration: Random Sphere I
Caption: Sphere and Random Sphere show random superpositions of waves on the surface of a sphere. Random waves are the paradigm for quantum chaos. This is as close as quantum mechanics can come to chaos. Classical chaos amounts to trajectories heading in every possible direction randomly; corresponding to this is the random addition of wave sets traveling in all directions. The particle executing the trajectory has a definite energy which corresponds to the waves all having the same wavelength. The result is the type of wave shown here, with characteristics not discovered until about 1986.

Credit: © Eric J. Heller, Harvard University
Website: http://www.ericjhellergallery.com/index.pl?page=image;iid=40
NSF Funded: Yes – Research supported by Harvard’s NSEC (NSF) grant
NSF Permission to Use: Yes – Internal and External
Original File Name: random_sphere.jpg
In Image Library: No
Permission Form: PF0019.pdf

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