Characterizing Multiple Solutions to the Time - Energy Canonical Commutation Relation via Internal Symmetries
Roland Cristopher F. Caballar, Leonard R. Ocampo, Eric A. Galapon
TL;DR
This paper explores how internal symmetries influence the solutions to the time-energy canonical commutation relation, revealing their impact on quantum dynamics and classification.
Contribution
It introduces a classification of TE-CCR solutions based on internal symmetries, especially time reversal, and links these symmetries to the system's internal dynamics.
Findings
Solutions with specific internal symmetries exhibit distinct dynamical behaviors.
Time reversal symmetry significantly affects the properties of TE-CCR solutions.
Internal symmetries can be used to categorize and understand different quantum solutions.
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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