Time Operator for a Quantum Singular Oscillator

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dc.creatorMartinis, M.
dc.creatorMikuta, V.
dc.date2002-11-19
dc.date2002-11-26
dc.date.accessioned2026-07-07T06:05:32Z
dc.date.available2026-07-07T06:05:32Z
dc.descriptionThe problem of existence of a self-adjoint time operator conjugate to a Hamiltonian with SU(1,1) dynamical symmetry is investigated. In the space spanned by the eigenstates of the generator $K_3$ of the SU(1,1) group, the time operator for the quantum singular harmonic potential of the form $ω^2x2 + g/x2$ is constructed explicitly, and shown that it is related to the time-of-arrival operator of Aharonov and Bohm. Our construction is fully algebraic, involving only the generators of the SU(1,1) group.
dc.description11 pages, LaTeX, added one new reference
dc.identifierhttps://arxiv.org/abs/quant-ph/0211118
dc.identifierhttp://arxiv.org/abs/quant-ph/0211118
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90665
dc.subjectQuantum Physics
dc.titleTime Operator for a Quantum Singular Oscillator
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