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Wave-packet scattering without kinematic entanglement: convergence of expectation values

Schulman, Lawrence S. and Schulman, Leonard J. (2005) Wave-packet scattering without kinematic entanglement: convergence of expectation values. IEEE Transactions on Nanotechnology, 4 (1). pp. 8-13. ISSN 1536-125X. http://resolver.caltech.edu/CaltechAUTHORS:SCHUieeetnano05

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Abstract

The wave packet spread of a particle in a collection of different mass particles, all with Gaussian wave functions, evolves to a value that is inversely proportional to the mass of the particle. The assumptions underlying this result and its derivation are reviewed. A mathematical demonstration of the convergence of an iteration central to this assertion is presented. Finally, the question of in-principle measurement of wave packet spread is taken up.


Item Type:Article
Additional Information:© Copyright 2005 IEEE. Reprinted with permission. Manuscript received April 1, 2004; revised May 26, 2004. [Posted online: 2005-01-17] This work was supported by the National Science Foundation under Grant PHY 0099471 and Grant CCR 0049092, by the National Science Foundation Institute for Quantum Information, and by the Okinawa Foundation under a grant. The authors would like to thank R. Balian and P. Pechukas for helpful discussions.
Subject Keywords:Group theory, quantum theory, scattering
Record Number:CaltechAUTHORS:SCHUieeetnano05
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:SCHUieeetnano05
Alternative URL:http://dx.doi.org/10.1109/TNANO.2004.840141
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6721
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:19 Dec 2006
Last Modified:26 Dec 2012 09:24

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