A finite element approach for the continuum spectrum of the Dirac radial equation

被引:0
|
作者
Nikolopoulos, LAA [1 ]
机构
[1] Univ Peloponnese, Dept Telecommun Sci & Technol, GR-22100 Tripolis, Greece
关键词
Dirac equation; B splines; photoionization;
D O I
10.1007/s10910-004-1464-6
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
The Dirac radial functions are expanded in polynomial B-spline basis, transforming the Dirac equation in a generalized eigensystem matrix problem. Due to the locality nature of the B-spline functions the matrix representation of all the involved operators are highly sparse. Diagonalization of the matrix equations provides the bound and continuum eigenstates. Energies and oscillator strengths for Hydrogen and Rubidium are presented.
引用
收藏
页码:203 / 210
页数:8
相关论文
共 50 条
  • [41] B-spline expansions in radial Dirac equation
    Igarashi, Akinori
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2006, 75 (11)
  • [42] Phase-integral method for the radial Dirac equation
    Linnaeus, Staffan
    JOURNAL OF MATHEMATICAL PHYSICS, 2014, 55 (09)
  • [43] Continuum framework for finite element modelling of finite wear
    Lengiewicz, Jakub
    Stupkiewicz, Stanislaw
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 205 : 178 - 188
  • [44] Phonon prediction in toroidal carbon nanotubes using a continuum finite element approach
    Leamy, Michael J.
    DiCarlo, Anthony A.
    PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCE AND INFORMATION IN ENGINEERING CONFERENCE, VOL 1, PTS A-C, 2008, : 1071 - 1081
  • [45] Finite element modeling of fatigue damage using a continuum damage mechanics approach
    De Jesus, AMP
    Ribeiro, AS
    Fernandes, AA
    JOURNAL OF PRESSURE VESSEL TECHNOLOGY-TRANSACTIONS OF THE ASME, 2005, 127 (02): : 157 - 164
  • [46] CONTINUUM STATES OF THE 2-CENTER DIRAC-EQUATION
    RUMRICH, K
    GREINER, W
    SOFF, G
    WIETSCHORKE, KH
    SCHLUTER, P
    JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1989, 22 (02) : 165 - 187
  • [47] DISCRETE SPECTRUM OF SCHRODINGERS RADIAL EQUATION
    SAKHNOVICH, LA
    DOKLADY AKADEMII NAUK SSSR, 1962, 142 (03): : 550 - &
  • [48] Bound states in the continuum and Fano resonances in the Dirac cone spectrum
    Bulgakov, Evgeny N.
    Maksimov, Dmitrii N.
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2019, 36 (08) : 2221 - 2225
  • [49] Hybrid Approach of Radial Basis Function and Finite Element Method for Electromagnetic Problems
    Zou, Yang
    Lei, Gang
    Shao, Keran
    Guo, Youguang
    Zhu, Joe
    Chen, Xiaoming
    IEEE TRANSACTIONS ON MAGNETICS, 2015, 51 (03)
  • [50] FINITE-ELEMENT APPROACH TO VIBRATIONAL SCHRODINGER EQUATION OF DIATOMIC SPECIES
    ARAI, H
    KANESAKA, I
    KAGAWA, Y
    BULLETIN OF THE CHEMICAL SOCIETY OF JAPAN, 1976, 49 (07) : 1785 - 1787