Finite-rank multivariate-basis expansions of the resolvent operator as a means of solving the multivariable lippmann-schwinger equation for two-particle scattering

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dc.citation.epage1183en_US
dc.citation.issueNumber11en_US
dc.citation.spage1167en_US
dc.citation.volumeNumber55en_US
dc.contributor.authorKuruoglu, Z. C.en_US
dc.date.accessioned2015-07-28T12:05:39Z
dc.date.available2015-07-28T12:05:39Z
dc.date.issued2014-11en_US
dc.departmentDepartment of Chemistryen_US
dc.description.abstractFinite-rank expansions of the two-body resolvent operator are explored as a tool for calculating the full three-dimensional two-body T-matrix without invoking the partial-wave decomposition. The separable expansions of the full resolvent that follow from finite-rank approximations of the free resolvent are employed in the Low equation to calculate the T-matrix elements. The finite-rank expansions of the free resolvent are generated via projections onto certain finite-dimensional approximation subspaces. Types of operator approximations considered include one-sided projections (right or left projections), tensor-product (or outer) projection and inner projection. Boolean combination of projections is explored as a means of going beyond tensor-product projection. Two types of multivariate basis functions are employed to construct the finite-dimensional approximation spaces and their projectors: (i) Tensor-product bases built from univariate local piecewise polynomials, and (ii) multivariate radial functions. Various combinations of approximation schemes and expansion bases are applied to the nucleon-nucleon scattering employing a model two-nucleon potential. The inner-projection approximation to the free resolvent is found to exhibit the best convergence with respect to the basis size. Our calculations indicate that radial function bases are very promising in the context of multivariable integral equations.en_US
dc.description.provenanceMade available in DSpace on 2015-07-28T12:05:39Z (GMT). No. of bitstreams: 1 10.1007-s00601-014-0887-2.pdf: 271785 bytes, checksum: 4998d49bba627a08dabf7942c22e823a (MD5)en
dc.identifier.doi10.1007/s00601-014-0887-2en_US
dc.identifier.issn0177-7963
dc.identifier.urihttp://hdl.handle.net/11693/13303
dc.language.isoEnglishen_US
dc.publisherSpringer Verlagen_US
dc.relation.isversionofhttp://dx.doi.org/ 10.1007/s00601-014-0887-2en_US
dc.source.titleFew-Body Systemsen_US
dc.subjectRadial basis functionsen_US
dc.subjectApproximation Spaceen_US
dc.subjectBoolean Combinationen_US
dc.subjectResolvent Approximationen_US
dc.subjectMultivariate Interpolationen_US
dc.titleFinite-rank multivariate-basis expansions of the resolvent operator as a means of solving the multivariable lippmann-schwinger equation for two-particle scatteringen_US
dc.typeArticleen_US

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