Eigenvalue bounds for a class of singular potentials in N dimensions

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dc.creatorHall, Richard L.
dc.creatorSaad, Nasser
dc.date1998-11-03
dc.date.accessioned2026-07-07T10:55:09Z
dc.date.available2026-07-07T10:55:09Z
dc.descriptionThe eigenvalue bounds obtained earlier [J. Phys. A: Math. Gen. 31 (1998) 963] for smooth transformations of the form V(x) = g(x^2) + f(1/x^2) are extended to N-dimensions. In particular a simple formula is derived which bounds the eigenvalues for the spiked harmonic oscillator potential V(x) = x^2 + lambda/x^alpha, alpha > 0, lambda > 0, and is valid for all discrete eigenvalues, arbitrary angular momentum ell, and spatial dimension N.
dc.description10 pages (plain tex with 2 ps figures). J.Phys.A:Math.Gen.(In Press)
dc.identifierhttps://arxiv.org/abs/quant-ph/9811008
dc.identifierhttp://arxiv.org/abs/quant-ph/9811008
dc.identifierJ.Phys.A32:133-138,1999
dc.identifierdoi:10.1088/0305-4470/32/1/014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186027
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleEigenvalue bounds for a class of singular potentials in N dimensions
dc.typetext

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