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

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2005年 / 37卷 / 03期

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

页码：203 / 210

页数：8

共 50 条

[1] A finite element approach for the continuum spectrum of the Dirac radial equation
L.A.A. Nikolopoulos
Journal of Mathematical Chemistry, 2005, 37 : 203 - 210
[2] Stabilized finite element method for the radial Dirac equation
Almanasreh, Hasan
Salomonson, Sten
Svanstedt, Nils
JOURNAL OF COMPUTATIONAL PHYSICS, 2013, 236 : 426 - 442
[3] Stabilized finite element method for the radial Dirac equation (vol 236, pg 426, 2013)
Almanasreh, Hasan
Salomonson, Sten
Svanstedt, Nils
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 340 : 712 - 712
[4] On properties of the discrete and continuous spectrum for the radial Dirac equation
Sakhnovich, LA
THEORETICAL AND MATHEMATICAL PHYSICS, 1996, 108 (01) : 876 - 888
[5] Least squares B-spline solutions of the radial Dirac equation in the continuum
Toffoli, D
Decleva, P
COMPUTER PHYSICS COMMUNICATIONS, 2003, 152 (02) : 151 - 164
[6] Finite element formulation of the Dirac equation and the problem of fermion doubling
Muller, C
Grun, N
Scheid, W
PHYSICS LETTERS A, 1998, 242 (4-5) : 245 - 250
[7] Finite element formulation of the Dirac equation and the problem of fermion doubling
Instut für Theoretische Physik, Justus-Liebig-Universität, Heinrich-Buff-Ring 16, Giessen, Germany
Physics Letters, Section A: General, Atomic and Solid State Physics, 1998, 242 (4-5): : 245 - 250
[8] The propagator of the radial Dirac equation
Ichinose, T
Jefferies, B
JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (08) : 3963 - 3983
[9] NONRELATIVISTIC LIMIT OF DIRAC EQUATION IN CONTINUUM
RONVEAUX, A
LETTERE AL NUOVO CIMENTO, 1970, 4 (15): : 703 - &
[10] A finite element approach for solution of Burgers' equation
Özis, T
Aksan, EN
Özdes, A
APPLIED MATHEMATICS AND COMPUTATION, 2003, 139 (2-3) : 417 - 428

← 1 2 3 4 5 →