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Internal symmetries can be used to classify multiple solutions to the timeenergy canonical commutation relation (TE-CCR). The dynamical behavior ofsolutions to the TE-CCR posessing particular internal symmetries involving timereversal differ significantly from solutions to the TE-CCR without thoseparticular symmetries, implying a connection between the internal symmetries ofa quantum system, its internal unitary dynamics, and the TE-CCR.

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