The J-matrix method: numerical computations

• Autorzy: Syty P.
• Języki publikacji: EN

Abstrakty

EN

Numerical calculations of scattering phase shifts have been done using J-matrix method (both non-relativistic and relativistic versions). Results of computations for some simple potentials are described and discussed in this paper. In particularly, it has been shown, that successive numerical approximations converge to results obtained using an analytical formula.

Słowa kluczowe

EN

atomic physics; scattering theory; J-matrix method; numerical computations

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 1999
• Tom: Vol. 3, No 3
• Strony: 269--276
• Opis fizyczny: Bibliogr. 7 poz., rys., tab.

Twórcy

autor

Syty P.

• Department of Theoretical Physics and Mathematical Methods, Technical University of Gdańsk, Narutowicza 11/12, 80-952 Gdańsk, Poland

Bibliografia

• [1] E. Heller, H. Yamani, New L2 approach to quantum scattering: Theory, Phys. Rev. A 9(1974)1201
• [2] E. Heller, H. Yamani, J -matrix method: Application to s—wave electron hydrogen scattering. Phys. Rev. A 9 (1974) 1209
• [3] H. Yamani, L. Fishman, J-matrix method: Extensions to arbitrary angular momentum and to Coulomb scattering, J. Math. Phys.16 (1975) 410
• [4] P. Horodecki, The relativistic J-matrix method, submitted to J. Phys. B: At. Mol. Opt. Phys.
• [5] P. Syty, Programming of J-matrix method, MSc thesis, Technical University of Gdansk, 1999
• [6] H. Bateman, A. Erdely (ed.), Higher Transcendental Functions, vol. I, II, McGraw- Hill, New York, 1953
• [7] G. Arfken, Mathematical Methods For Physicists, Academic Press, New York, 1970