JMATRIX - package for relativistic J-MATRIX calculations in elastic scattering of electrons from model potentials

• Autorzy: Syty P. , Sienkiewicz J. E.

Identyfikatory

DOI

10.17466/tq2017/21.1/c

• Języki publikacji: EN

Abstrakty

EN

We present a software package JMATRIX, consisting of two computer codes written in FORTRAN 95 and parallelized with OpenMP, implementing the so-called J-matrix method, applied to elastic scattering of electrons on the radial potential, vanishing faster than the Coulomb potential. In the J-matrix method, the physical scattering problem is replaced by using a well-defined model which is solved analytically. The presented software implements both non-relativistic and relativistic versions of the method, and allows calculations of scattering phase shifts as well as cross sections, in cases when the scattering potential is given through an analytical formula. We performed test calculations for the scattering potential modeled as a truncated Coulomb potential. We show that the numerical phase shifts to converge as we increase the size of the basis used to truncate the scattering potential, and that the method is suitable for calculating the total differential momentum transfer and spin polarization cross sections, using the partial-wave analysis.

Słowa kluczowe

EN

J-matrix method; relativistic; electron elastic scattering; phase shifts; Dirac partial-waves analysis; differential; total; momentum transfer; spin polarization cross sections

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2017
• Tom: Vol. 21, No 1
• Strony: 17--42
• Opis fizyczny: Bibliogr. 18 poz., rys., tab.

Twórcy

autor

Syty P.

• Department of Theoretical Physics and Quantum Information, Gdańsk University of Technology, Narutowicza 11/12, 80-233 Gdańsk, Poland

autor

Sienkiewicz J. E.

• Department of Theoretical Physics and Quantum Information, Gdańsk University of Technology, Narutowicza 11/12, 80-233 Gdańsk, Poland

Bibliografia

• [1] Heller E and Yamani H 1974 Phys. Rev. A 9 1201
• [2] Heller E and Yamani H 1974 Phys. Rev. A 9 1209
• [3] Yamani H and Fishman L 1975 J. Math. Phys. 16 410
• [4] Horodecki P 2000 Phys. Rev. A 62 52716
• [5] Alhaidari D, Yamani H A, and Abdelmonem M S 2001 Phys. Rev. A 63 62708
• [6] Syty P 1999 TASK Quarterly 3 (3) 269
• [7] Yamani H A, Alhaidari A D and Abdelmonem M S 2001 Phys. Rev. A 64 42703
• [8] Sin Fai Lam L T 1980 Aust. J. Phys. 33 261
• [9] Bateman H and Erdely A (ed.) 1953 Higher Transcendental Functions, McGraw-Hill, New York, I,II
• [10] Arfken G 1970 Mathematical Methods For Physicists, Academic Press, New York
• [11] Takahasi H and Mori M 1974 Publ. RIMS, Kyoto Univ., 9 721
• [12] Vanroose W, Broeckhove J, and Arickx F 2002 Phys. Rev. Lett. 82 10404
• [13] Krośnicki M 1988 MSc thesis, Gdańsk University of Technology
• [14] Foumouo E, Lagmago Kamta G, Edah G and Piraux B 2006 Phys. Rev. A 74 63409
• [15] Foumouo E, Antoine P, Bachau H and Piraux B 2008 New J. Phys. 10 25017
• [16] Syty P, Redynk Ł, and Sienkiewicz J E 2013 Eur. Phys. J. Special Topics 222 2323
• [17] Syty P, Sienkiewicz J E and Fritzsche S 2003 Rad. Phys. Chem. 68 301
• [18] Syty P and Sienkiewicz J E 2005 J. Phys. B: At., Mol. and Opt. Phys. 38 2859

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).