| ATOMIC AND MOLECULAR PHYSICS |
|
|
|
|
The Hydrogen Molecular Ion in Strong Fields Using the B-Spline Method |
| ZHANG Yue-Xia1**, LIU Qiang2, SHI Ting-Yun3** |
1Department of Physics, Chongqing University, Chongqing 400044
2Department of Physics and Electronic Information, Luoyang Normal University, Luoyang 471022
3State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071
|
|
| Cite this article: |
|
ZHANG Yue-Xia, LIU Qiang, SHI Ting-Yun 2013 Chin. Phys. Lett. 30 043101 |
|
|
|
|
Abstract An accurate method combining the spheroidal coordinate and B-spline for H2+ is tested. The equilibrium distances and the total energies of the states with |m|≤4 for the magnetic field strength γ=1 are given and compared with those obtained using different methods. Taking the advantages of the spheroidal coordinate and B-spline, a 10?9–10?12 accuracy is obtained for the energies of the states with |m|≤3, and a 10?5–10?7 accuracy for the equilibrium distances. There are seven significant digits for the energy of the state 1γg and four significant digits for 1γu, which are consistent with those obtained by the high-precision method. There are three significant digits for the equilibrium distances of the 1γg,u states, which are consistent.
|
|
|
Received: 15 October 2012
Published: 28 April 2013
|
|
| PACS: |
31.15.-p
|
(Calculations and mathematical techniques in atomic and molecular physics)
|
| |
31.15.xv
|
(Molecular dynamics and other numerical methods)
|
| |
32.60.+i
|
(Zeeman and Stark effects)
|
| |
02.60.Pn
|
(Numerical optimization)
|
|
|
|
|
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
