Solutions to the time-energy canonical commutation relation for harmonic oscillator potential
Abstract
Different solutions to the time-energy canonical commutation relation (TE-CCR) for the harmonic oscillator potential were obtained and were differentiated by comparing their symmetries. Their dynamics, in particular the dynamics of their eigenfunctions, were investigated. The eigenfunction of the TOA operator that satisfies the time reversal symmetry has the sharpest arrival with the arrival occurring at tits corresponding eigenvalue. Meanwhile the eigenfunctions of the TOA operators that do not satisfy the time reversal symmetry do not have good unitary arrival and can not be considered as legitimate TOA operators.
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Building bridges and exploring frontiers
6-9 June 2018, Puerto Princesa City
Please visit the activity webpage for SPP2018 for more information on this year's conference.