Some properties of eigenvalues and eigenfunctions of the cubic oscillator with imaginary coupling constant

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dc.creatorMezincescu, G. Andrei
dc.date2000-02-21
dc.date.accessioned2026-07-07T10:54:57Z
dc.date.available2026-07-07T10:54:57Z
dc.descriptionComparison between the exact value of the spectral zeta function, $Z_{H}(1)=5^{-6/5}[3-2\cos(π/5)]Γ^2(1/5)/Γ(3/5)$, and the results of numeric and WKB calculations supports the conjecture by Bessis that all the eigenvalues of this PT-invariant hamiltonian are real. For one-dimensional Schrödinger operators with complex potentials having a monotonic imaginary part, the eigenfunctions (and the imaginary parts of their logarithmic derivatives) have no real zeros.
dc.description6 pages, submitted to J. Phys. A
dc.identifierhttps://arxiv.org/abs/quant-ph/0002056
dc.identifierhttp://arxiv.org/abs/quant-ph/0002056
dc.identifierJ.Phys.A33:4911-4916,2000
dc.identifierdoi:10.1088/0305-4470/33/27/308
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185965
dc.subjectQuantum Physics
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleSome properties of eigenvalues and eigenfunctions of the cubic oscillator with imaginary coupling constant
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