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

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

Pages
977–982
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The paper presents the analytical matrix elements of the kinetic hamiltonian in the oscillator base.
📊
Key Findings & Data:The Pad'{e} approximations for the potential part (Saxon - Woods and alike) was used.
💡
Conclusion & Impact:In this way the evaluation time can be reduced and the relations obtained are well suited for parallel computation.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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.

🔖

Cite This Article

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

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (10)

  1. a) M.L.P. Antunes, M.N.Martins, Phys. Rev.C52 (3) (1995) 1484. b) Lojeweski, B. Nerlo-Pomorska, K. Pomorski, J. Dudek, Phys. Rev. C51 (1995) 601
  2. V.L. Soloviev, Teoria Atmnova Iadra, Iadernie Modeli, Moskva, Ienergoizgam (1981)
  3. V.I.R. Niculescu, A.O.R. Cavaleru, Optoelectronica, 1 (1994) 129; 2 (1994) 33
  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).