Open AccessCalculation of diamagnetic spectrum of Rydberg hydrogen atom using B-spline basis sets
Author(s) -
Shimin Kang,
Qiang Liu,
Zhen-Xiang Zhong,
Xianzhou Zhang,
Ting-Yun Shi
Publication year - 2006
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.55.3380
Subject(s) - hydrogen atom , atomic physics , diamagnetism , rydberg formula , physics , rydberg atom , hamiltonian (control theory) , ionization , hydrogen , eigenvalues and eigenvectors , spline (mechanical) , basis set , atom (system on chip) , magnetic field , b spline , field (mathematics) , quantum mechanics , density functional theory , ion , mathematical analysis , computer science , mathematical optimization , mathematics , embedded system , group (periodic table) , thermodynamics , pure mathematics
The energy spectrum and oscillator strength of hydrogen atom in static magnetic field have been calculated using basis set method. Both the radial and angular wave-functions are expanded in terms of B-spline functions. The resultant size of Hamiltonian matrix is reduced considerably, which enables the calculations to be carried out in personal computer. Diamagnetic spectrum of Rydberg hydrogen atom from -40cm-1 to the field free ionization threshold was obtained with high accuracy. The results have been compared with those of most accurate ones in the literature. The method presented in this paper can be extended easily to the region with positive energy and to the cases of non-hydrogen atoms and the crossed field problem.