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Characterizing Multiple Solutions to the Time - Energy Canonical Commutation Relation via Internal Symmetries

Published 14 May 2010 in quant-ph | (1005.2872v1)

Abstract: Internal symmetries can be used to classify multiple solutions to the time energy canonical commutation relation (TE-CCR). The dynamical behavior of solutions to the TE-CCR posessing particular internal symmetries involving time reversal differ significantly from solutions to the TE-CCR without those particular symmetries, implying a connection between the internal symmetries of a quantum system, its internal unitary dynamics, and the TE-CCR.

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