Existence of Time Operator for a Singular Harmonic Oscillator

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dc.creatorMikuta-Martinis, V.
dc.creatorMartinis, M.
dc.date2005-03-23
dc.date.accessioned2026-07-07T06:12:26Z
dc.date.available2026-07-07T06:12:26Z
dc.descriptionThe time operator for a quantum singular oscillator of the Calogero-Sutherland type is constructed in terms of the generators of the SU(1,1) group. In the space spanned by the eigenstates of the Hamiltonian, the time operator is not self-adjoint. We show, that the time-energy uncertainty relation can be given the meaning within the Barut-Girardello coherent states defined for the singular oscillator.We have also shown the relationship with the time-of-arrival operator of Aharonov and Bohm.
dc.description7 pages, no figures, LaTex, submitted to Concepts of Physics
dc.identifierhttps://arxiv.org/abs/quant-ph/0503187
dc.identifierhttp://arxiv.org/abs/quant-ph/0503187
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92785
dc.subjectQuantum Physics
dc.titleExistence of Time Operator for a Singular Harmonic Oscillator
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