Non-Hermitian matrix description of the PT symmetric anharmonic oscillators

dc.creatorZnojil, Miloslav
dc.date1999-06-09
dc.date1999-09-07
dc.date.accessioned2026-07-07T10:55:12Z
dc.date.available2026-07-07T10:55:12Z
dc.descriptionSchroedinger equation H ψ=E ψwith PT - symmetric differential operator H=H(x) = p^2 + a x^4 + i βx^3 +c x^2+i δx = H^*(-x) on L_2(-\infty,\infty) is re-arranged as a linear algebraic diagonalization at a>0. The proof of this non-variational construction is given. Our Taylor series form of ψcomplements and completes the recent terminating solutions as obtained for certain couplings δat the less common negative a.
dc.description18 pages, latex, no figures, thoroughly revised (incl. title), J. Phys. A: Math. Gen., to appear
dc.identifierhttps://arxiv.org/abs/quant-ph/9906029
dc.identifierhttp://arxiv.org/abs/quant-ph/9906029
dc.identifierJ.Phys.A32:7419-7428,1999
dc.identifierdoi:10.1088/0305-4470/32/42/313
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186044
dc.subjectQuantum Physics
dc.titleNon-Hermitian matrix description of the PT symmetric anharmonic oscillators
dc.typetext

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