Dergiler / Turkish Journal of Physics / 1998 / Cilt: 22 - Sayı: 10

Analytical expressions of matrix elements for Saxon-Woods potential and Pade approximations

Sayfa
977–982
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this way the evaluation time can be reduced and the relations obtained are well suited for parallel computation.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The paper presents the analytical matrix elements of the kinetic hamiltonian in the oscillator base.
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Temel Bulgular & Veri:The Pad'{e} approximations for the potential part (Saxon - Woods and alike) was used.
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Sonuç & Katkı:In this way the evaluation time can be reduced and the relations obtained are well suited for parallel computation.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Özet

The paper presents the analytical matrix elements of the kinetic hamiltonian in the oscillator base. The Pad'{e} approximations for the potential part (Saxon - Woods and alike) was used. From residue calculus the potential matrix elements are analytical. Many parts of these expressions can be computed once for ever. In this way the evaluation time can be reduced and the relations obtained are well suited for parallel computation.

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Bu Makaleye Atıf Yap

NICULESCU, V. L. R., CATANA, D. (1998). Analytical expressions of matrix elements for Saxon-Woods potential and Pade approximations. Turkish Journal of Physics, Cilt: 22 - Sayı: 10, 977–982. https://ajindex.com/articles/379500

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Kaynakça (10)

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  4. V.I.R. Niculescu, D. Catana, Rom.J.Phys., 39 (1994) 173
  5. V.I.R. Niculescu, D. Catana, "Pade Approximation of the Dierential Electron-Atom Elastic Scattering Cross-Section, 4-th European Conf. on Accelerators in Appl. Res. and Tech.,Aug. 29-Sept.2 (1995) B36
  6. V.I.R. Niculescu, D. Catana, Romanian J.Phys., 40 (8) (1995) (in print)
  7. G.Arfken, Mathematical Methods for Physicists, Academic Press, New York (1968)
  8. M. Abramovitz, I.A. Stegun, Handbook of Mathematical Functions, National Bureau of Standards, Applied Mathematics, Series 55 (1967)
  9. I.L. Popescu, I. Armeanu, D. Blidaru, N. Cotfas, I. Sandru, Problems of complex analysis,Editura Tehnica, Bucuresti (1995) (in romanian)
  10. V.I.R. Niculescu, D. Catana, "Pade approximants of the Saxon-Woods Core Potential(SWC), (internal report).