Calculation of the Hidden Symmetry Operator for a $\cP\cT$-Symmetric Square Well

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dc.creatorBender, Carl M.
dc.creatorTan, Barnabas
dc.date2006-01-18
dc.date.accessioned2026-07-07T10:47:06Z
dc.date.available2026-07-07T10:47:06Z
dc.descriptionIt has been shown that a Hamiltonian with an unbroken $\cP\cT$ symmetry also possesses a hidden symmetry that is represented by the linear operator $\cC$. This symmetry operator $\cC$ guarantees that the Hamiltonian acts on a Hilbert space with an inner product that is both positive definite and conserved in time, thereby ensuring that the Hamiltonian can be used to define a unitary theory of quantum mechanics. In this paper it is shown how to construct the operator $\cC$ for the $\cP\cT$-symmetric square well using perturbative techniques.
dc.description10 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0601123
dc.identifierhttp://arxiv.org/abs/quant-ph/0601123
dc.identifierJ.Phys.A39:1945-1953,2006
dc.identifierdoi:10.1088/0305-4470/39/8/011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183454
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.titleCalculation of the Hidden Symmetry Operator for a $\cP\cT$-Symmetric Square Well
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