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arXiv physics/9711020physics.chem-ph
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磁场中的氢分子:平行位形Sigma流形的基态

The hydrogen molecule in magnetic fields: The ground states of the Sigma manifold of the parallel configuration

T. Detmer, P. Schmelcher, F. K. Diakonos, L. S. Cederbaum

摘要:

研究了平行构型氢分子的电子结构。本文研究了σ流形的基态,包括从B = 0到B = 100 a. u的宽场强范围内的ungerade和gerade宇称以及单重态和三重态。可以观察到各种有趣的现象。对于^1 Sigma_g态,我们发现随着磁场强度的增加,平衡距离单调减小,同时离解能增加。结果表明,^3 π_g态发展出一个额外的极小值,在无场空间中没有对应的极小值。^1 π_u态的离解能随着最小核间距的先增大后减小而单调增加。对于这种状态,当磁场强度B大于20 a. u时,解离通道为H_2 → H^- + H^+。这是由于在强磁场中存在强束缚H^-态。当磁场强度小于1.0 a. u时,排斥^3 π_u态具有非常浅的范德华极小值。在我们计算的数值精度范围内。在大于0.2 a. u的磁场B中,^1 π_g态和^3 π_u态作为B的函数交叉,而作为未束缚态的^3 π_u态成为氢分子的基态。这对于在白矮星附近存在氢分子是特别有意义的。在超强场中,基态又是一个强束缚态,即^3Π_u态。

英文摘要:

The electronic structure of the hydrogen molecule is investigated for the parallel configuration. The ground states of the Sigma manifold are studied for ungerade and gerade parity as well as singlet and triplet states covering a broad regime of field strengths from B = 0 up to B = 100a.u. A variety of interesting phenomena can be observed. For the ^1Sigma_g state we found a monotonous decrease of the equilibrium distance and a simultaneously increase of the dissociation energy with growing magnetic field strength. The ^3Σ_g state is shown to develop an additional minimum which has no counterpart in field-free space. The ^1Σ_u state shows a monotonous increase in the dissociation energy with first increasing and than decreasing internuclear distance of the minimum. For this state the dissociation channel is H_2 to H^- + H^+ for magnetic-field strengths B greater than 20a.u. due to the existence of strongly bound H^- states in strong magnetic fields. The repulsive ^3Σ_u state possesses a very shallow van der Waals minimum for magnetic-field strengths smaller than 1.0a.u. within the numerical accuracy of our calculations. The ^1Σ_g and ^3Σ_u states cross as a function of B and the ^3Σ_u state, which is an unbound state, becomes the ground state of the hydrogen molecule in magnetic fields B greater than 0.2a.u. This is of particular interest for the existence of molecular hydrogen in the vicinity of white dwarfs. In superstrong fields the ground state is again a strongly bound state, the ^3Π_u state.

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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