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Phys. Rev. Lett. 83, 2494–2497 (1999)

Three Dimensional Quantum Delay Time Tomography

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Shimon Coen*
BWPOMR, 22 Miller Avenue, Suite C, Mill Valley, California 94941

Received 12 April 1999; published in the issue dated 27 September 1999

Quantum delay time tomography data obtained from the intensity of a Gaussian wave packet are used to approximately construct the 3D scattering potential of the time dependent Schrödinger's equation by a least action tomography algorithm which decouples into multiple 2D x-ray tomography algorithms when the mean energy of the wave packet is sufficiently high. We obtain two “miracle” identities for the characterization of admissible quantum delay time tomography data. The first is related to Newton's miracle identity. The second is a new curved miracle identity.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.83.2494
DOI:
10.1103/PhysRevLett.83.2494
PACS:
03.65.Db

*Email address: optics13@yahoo.com