The PT-symmetric brachistochrone problem, Lorentz boosts and non-unitary operator equivalence classes

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dc.creatorGuenther, Uwe
dc.creatorSamsonov, Boris F.
dc.date2007-09-04
dc.date2008-07-20
dc.date.accessioned2026-07-07T10:13:58Z
dc.date.available2026-07-07T10:13:58Z
dc.descriptionThe PT-symmetric (PTS) quantum brachistochrone problem is reanalyzed as quantum system consisting of a non-Hermitian PTS component and a purely Hermitian component simultaneously. Interpreting this specific setup as subsystem of a larger Hermitian system, we find non-unitary operator equivalence classes (conjugacy classes) as natural ingredient which contain at least one Dirac-Hermitian representative. With the help of a geometric analysis the compatibility of the vanishing passage time solution of a PTS brachistochrone with the Anandan-Aharonov lower bound for passage times of Hermitian brachistochrones is demonstrated.
dc.description12 pages, 2 figures, strongly extended version
dc.identifierhttps://arxiv.org/abs/0709.0483
dc.identifierhttp://arxiv.org/abs/0709.0483
dc.identifierPhys. Rev. A78, (2008), 042115
dc.identifierdoi:10.1103/PhysRevA.78.042115
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172723
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleThe PT-symmetric brachistochrone problem, Lorentz boosts and non-unitary operator equivalence classes
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