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Published February 17, 2006 | public
Journal Article Open

Convergence of matrices under random conjugation: wave packet scattering without kinematic entanglement

Abstract

In previous work, it was shown numerically that under successive scattering events, a collection of particles with Gaussian wavefunctions retains the Gaussian property, with the spread of the Gaussian ('Δx') tending to a value inversely proportional to the square root of each particle's mass. We prove this convergence in all dimensions ≥3.

Additional Information

Copyright © Institute of Physics and IOP Publishing Limited 2006. Received 14 October 2005. Published 1 February 2006. Print publication: Issue 7 (17 February 2006) This work was supported by the grants NSF PHY 00 99471, NSF CCF 0524828 and the NSF Institute for Quantum Information.

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August 22, 2023
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