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arXiv physics/0006017physics.atom-phphysics.chem-phphysics.comp-phphysics.plasm-ph
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强磁场和静电场中原子和双原子分子的量子差分计算

Finite-Difference Calculations for Atoms and Diatomic Molecules in Strong Magnetic and Static Electric Fields

Mikhail V. Ivanov, Peter Schmelcher

摘要:

全数值网格解决方案的二维量子方程的薛定谔和Hartree-Fock型,使我们能够与波函数具有非常灵活的几何形状。这种灵活性对于计算强外场中的原子和分子特别重要,因为外场和内部相互作用都不能被认为是微扰。本文方法的应用包括强静电场和强磁场中原子和双原子分子的计算。对于后者,我们对He、Li、C和其他几个原子进行了Hartree-Fock计算。特别是首次对Li和C原子在整个磁场范围内(0 <B <10000 a.u.)的基态组态进行了全面的研究。在高场全自旋极化条件下,研究了1 <Z <11的所有原子及其离子A ^+的基态电子构型。强电场情况下的结果与单电子系统有关,包括H_2 ^+离子(能量和衰变率)和氢原子在强平行电场和磁场中的薛定谔方程的正确解。

英文摘要:

Fully numerical mesh solutions of 2D quantum equations of Schroedinger and Hartree-Fock type allow us to work with wavefunctions which possess a very flexible geometry. This flexibility is especially important for calculations of atoms and molecules in strong external fields where neither the external field nor the internal interactions can be considered as a perturbation. The applications of the present approach include calculations of atoms and diatomic molecules in strong static electric and magnetic fields. For the latter we have carried out Hartree-Fock calculations for He, Li, C and several other atoms. This yields in particular the first comprehensive investigation of the ground state configurations of the Li and C atoms in the whole range of magnetic fields (0<B<10000 a.u.) and a study of the ground state electronic configurations of all the atoms with 1<Z<11 and their ions A^+ in the high-field fully spin-polarised regime. The results in a case of a strong electric field relate to single-electron systems including the correct solution of the Schroedinger equation for the H_2^+ ion (energies and decay rates) and the hydrogen atom in strong parallel electric and magnetic fields.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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