Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0375-9601(02)01229-X
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dc.titleConvergent Rayleigh-Schrödinger perturbation expansions for low-lying eigenstates and eigenenergies of anharmonic oscillators in intermediate basis states
dc.contributor.authorWang, W.-G.
dc.date.accessioned2014-10-16T09:19:30Z
dc.date.available2014-10-16T09:19:30Z
dc.date.issued2002-10-14
dc.identifier.citationWang, W.-G. (2002-10-14). Convergent Rayleigh-Schrödinger perturbation expansions for low-lying eigenstates and eigenenergies of anharmonic oscillators in intermediate basis states. Physics Letters, Section A: General, Atomic and Solid State Physics 303 (2-3) : 125-130. ScholarBank@NUS Repository. https://doi.org/10.1016/S0375-9601(02)01229-X
dc.identifier.issn03759601
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/96103
dc.description.abstractWith suitably chosen unperturbed Hamiltonians, we show numerical evidence of convergence of Rayleigh-Schrödinger perturbation expansions for low-lying eigenstates and the corresponding eigenenergies of the quartic, sextic, and octic anharmonic oscillators, when the anharmonic terms are not very strong. In obtaining the perturbation expansions, unperturbed Hamiltonians are taken as the diagonal parts of the Hamiltonian matrices of the anharmonic oscillators in intermediate basis states and perturbations are taken as the off-diagonal parts. Intermediate basis states are calculated by part diagonalization of the total Hamiltonians in small subspaces of the underlying Hilbert space. In some strong-coupling regimes of the quartic and sextic anharmonic oscillators, the very simple approach of this Letter gives much more accurate results than previously used techniques. © 2002 Elsevier Science B.V. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/S0375-9601(02)01229-X
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentPHYSICS
dc.description.doi10.1016/S0375-9601(02)01229-X
dc.description.sourcetitlePhysics Letters, Section A: General, Atomic and Solid State Physics
dc.description.volume303
dc.description.issue2-3
dc.description.page125-130
dc.description.codenPYLAA
dc.identifier.isiut000178879900004
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