arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv math-ph/0602045math-phmath.MP
收藏

水文系统弱解的非线性性质

Dimensionalities of Weak Solutions in Hydrogenic Systems

A. Lopez-Castillo, Cesar R. de Oliveira

摘要:

通过对三维氢原子哈密顿量的仔细研究,发现了文献中经常忽略的形式本征向量。虽然不在它的域中,但这样的特征向量属于希尔伯特空间,因此它们的时间演化是很好定义的。然后将它们与一维和二维氢原子联系起来,并在数值上发现它们具有连续的成分,因此可以发生电离。

英文摘要:

A close inspection on the 3D hydrogen atom Hamiltonian revealed formal eigenvectors often discarded in the literature. Although not in its domain, such eigenvectors belong to the Hilbert space, and so their time evolution is well defined. They are then related to the 1D and 2D hydrogen atoms and it is numerically found that they have continuous components, so that ionization can take place.

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。

↑