The three-body Schrödinger equation of the H$_2^+$ hydrogen molecular ion with Coulomb potentials is solved in perimetric coordinates using the Lagrange-mesh method. The Lagrange-mesh method is an approximate variational calculation with variational accuracy and the simplicity of a calculation on a mesh. Energies and wave functions of up to four of the lowest vibrational bound or quasibound states for total orbital momenta from 0 to 40 are calculated. The obtained energies have an accuracy varying from about 13 digits for the lowest vibrational state to at least 9 digits for the third vibrational excited state. With the corresponding wave functions, a simple calculation using the associated Gauss quadrature provides accurate quadrupole transition probabilities per time unit between those states over the whole rotational bands. Extensive results are presented with six significant figures.
Rotational excitation of molecules in the regime of strong ro-vibrational coupling: Comparison between an optical centrifuge and a transform-limited pulse
Universidad de Granada（格拉纳达大学）；The University of British Columbia（不列颠哥伦比亚大学）；Freie Universität Berlin（柏林自由大学）；Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada（格拉纳达大学卡洛斯一世理论与计算物理研究所）
Algebraic Determination of Spectral Characteristics of Rovibrational States of Diatomic Molecules. II. Analysis of the Vibration-Rotation Interaction by Means of the Factorization Method
Vibrational spectroscopy of polar molecules with superradiance
本文研究了在高光学深度（OD）样品中极性分子光谱中振动跃迁的合作现象和超辐射。这种协同性来自于通过偶极-偶极相互作用建立的粒子间相干性，并导致衰变过程的加速。我们将我们的计算与最近的工作进行比较[Deiglmayr等人，EUR. J. D 65，99（2011）]，并且发现非常好的一致性，这表明超辐射效应需要包括在各种各样的超冷分子设置中，包括振动和旋转状态。
