Analytical Studies in Scattering by Non-Local Separable Potentials
نویسندگان
چکیده
منابع مشابه
Non-relativistic quantum scattering from non-local separable potentials: the eigenchannel approach
A recently formulated version of the eigenchannel method [R. Szmytkowski, Ann. Phys. (N.Y.) 311, 503 (2004)] is applied to quantum scattering of Schrödinger particles from non-local separable potentials. Eigenchannel vectors and negative cotangents of eigenphase-shifts are introduced as eigensolutions to some weighted matrix spectral problem, without a necessity of prior construction and diagon...
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An application of the new formulation of the eigenchannel method [R. Szmytkowski, Ann. Phys. (N.Y.) 311, 503 (2004)] to quantum scattering of Dirac particles from non-local separable potentials is presented. Eigenchannel vectors, related directly to eigenchannels, are defined as eigenvectors of a certain weighted eigenvalue problem. Moreover, negative cotangents of eigenphase-shifts are introdu...
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Methodological advances in multiple scattering theory (MST) in both wave and Green's function versions are reported for the calculation of electronic ground and excited state properties of condensed matter systems with an emphasis on core-level photoemission and absorption spectra. Full-potential MST is reviewed and extended to non-local potentials. Multichannel MST is reformulated in terms of ...
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The low energy three nucleon problem with two particle separable potentials is solved. The formalism of Faddeev in recasting the three body equations into Fredholm form and subsequent angular momentum reductions are carried out. Upon searching for a bound state two poles of the amplitude are found. Upon further examination one of the poles is found to have a residue of the wrong sign. This diff...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1974
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.51.193