Application of Hellman-Feynman and Hypervirial theorems to the eigenvalue problem: Coulomb plus linear term and quartic anharmonic oscillator potentials

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dc.creatorRekab, S.
dc.creatorZenine, N.
dc.date2006-02-12
dc.date.accessioned2026-07-07T08:05:56Z
dc.date.available2026-07-07T08:05:56Z
dc.descriptionWe use the Hellman-Feynman (HF) and Hypervirial (HV) theorems, to calculate the perturbative coefficients of the eigenenergies formal series, in the case of the Coulomb potential with a radial linear term and the radial quartic anharmonic oscillator potential. This calculation method, contrary to the usual Rayleigh-Schrodinger Perturbation Theory (RSPT), does not require the calculation of eigenfunctions coefficients. This method is a fast and efficient tool for the calculation of large order eigenenergies coefficients.
dc.description12 pages, no figures, to be published in Algerian Review of Nuclear Sciences
dc.identifierhttps://arxiv.org/abs/math-ph/0602029
dc.identifierhttp://arxiv.org/abs/math-ph/0602029
dc.identifierAlg. Rev. Nucl. Sci, Vol.6, Nos 1 & 2 (2006) 9-20
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130439
dc.subjectMathematical Physics
dc.titleApplication of Hellman-Feynman and Hypervirial theorems to the eigenvalue problem: Coulomb plus linear term and quartic anharmonic oscillator potentials
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