We use a recently defined quantum spectral function and apply the method of closed-orbit theory to the 2D circular billiard system. The quantum spectra contain rich information of all classical orbits connecting two a...We use a recently defined quantum spectral function and apply the method of closed-orbit theory to the 2D circular billiard system. The quantum spectra contain rich information of all classical orbits connecting two arbitrary points in the well. We study the correspondence between quantum spectra and classical orbits in the circular, 1/2 circular and 1/4 circular wells using the analytic and numerical methods. We find that the peak positions in the Fourier- transformed quantum spectra match accurately with the lengths of the classical orbits. These examples show evidently that semi-classlcal method provides a bridge between quantum and classical mechanics.展开更多
We have carried out a quasi-classical trajectory calculation for the reaction ofNe ＋ H2＋ （v = 0, j = 1） → NeH＋ ＋ H on the ground state （12AI） using the LZHH potential energy surface constructed by L/i et al. ...We have carried out a quasi-classical trajectory calculation for the reaction ofNe ＋ H2＋ （v = 0, j = 1） → NeH＋ ＋ H on the ground state （12AI） using the LZHH potential energy surface constructed by L/i et al. [Lu S J, Zhang P Y, Han K L and He G Z 2010 J. Chem. Phys. 132 014303]. Differential cross sections at many collision energies indicate that the reaction is dominated by forward-scattering. In addition, the Nell＋ product shows rotationally hot and vibrationally cold distributions. Stereodynamical results indicate that the products are strongly polarized in the direction perpendicular to the scattering plane and that the products rotate mainly in planes parallel to the scattering plane.展开更多
Bai Meng-Meng, Ge Mei-Hua, Yang Huan, and Zheng Yu-Jun School of Physics, Shandong University, J/nan 250100, China The quasi-classical trajectory （QCT） method is used to study the H＋HS reaction on a newly built pot...Bai Meng-Meng, Ge Mei-Hua, Yang Huan, and Zheng Yu-Jun School of Physics, Shandong University, J/nan 250100, China The quasi-classical trajectory （QCT） method is used to study the H＋HS reaction on a newly built potential energy surface （PES） of the triplet state of H2S （3AH） in a collision energy range of 0-60 kcal/mol. Both scalar properties, such as the reaction probability and the integral cross section （ICS）, and the vector properties, such as the angular distribution between the relative velocity vector of the reactant and that of the product, etc., are investigated using the QCT method. It is found that the ICSs obtained by the QCT method and the quantum mechanical （QM） method accord well with each other. In addition, the distribution for the product vibrational states is cold, while that for the product rotational states is hot for both reaction channels in the whole energy range studied here.展开更多
对于O+NH反应,在~3A″和~1A″势能面(Guadagnini R,Schatz G C,Walch S P.Global potential energysurface for the lowest^1 A′,~3A″,and^1A″states of HNO[J].J.Chem.Phys.,1995,10:774)上,我们运用coupled state or centrifugal s...对于O+NH反应,在~3A″和~1A″势能面(Guadagnini R,Schatz G C,Walch S P.Global potential energysurface for the lowest^1 A′,~3A″,and^1A″states of HNO[J].J.Chem.Phys.,1995,10:774)上,我们运用coupled state or centrifugal sudden(CS)近似和close coupling or Coriolis coupled(CC)方法进行了量子动力学计算.通过比较两种方法得到的总的反应几率,我们发现对于两个势能面上的标题反应,CS近似是失效的.我们还讨论了用CS和CC方法得到的速率常数,并进行了结果比较.展开更多
采用close coupling (CC)方法,在3A″势能面上[Guadagnini R,Schatz G C,Walch S P.Global potential energy surface for the lowest 1A′,3A″,and 1A″ states of HNO [J].J.Chem.Phys.,1995,10: 774],我们利用量子含时波包方法对N +...采用close coupling (CC)方法,在3A″势能面上[Guadagnini R,Schatz G C,Walch S P.Global potential energy surface for the lowest 1A′,3A″,and 1A″ states of HNO [J].J.Chem.Phys.,1995,10: 774],我们利用量子含时波包方法对N + OH的同位素反应-N+OD进行了研究.在0.0～0.8 eV的平动能范围内,选态的反应几率受共振结构支配.利用J-shifting方法计算,我们得到了基态的速率常数,并对分子间的同位素效应进行了研究.展开更多
文摘We use a recently defined quantum spectral function and apply the method of closed-orbit theory to the 2D circular billiard system. The quantum spectra contain rich information of all classical orbits connecting two arbitrary points in the well. We study the correspondence between quantum spectra and classical orbits in the circular, 1/2 circular and 1/4 circular wells using the analytic and numerical methods. We find that the peak positions in the Fourier- transformed quantum spectra match accurately with the lengths of the classical orbits. These examples show evidently that semi-classlcal method provides a bridge between quantum and classical mechanics.
基金Project supported by the National Natural Science Foundation of China (Grant No.21073110)the Independent Innovation Foundation of Shandong University of China (Grant No.10000059614011)
文摘We have carried out a quasi-classical trajectory calculation for the reaction ofNe ＋ H2＋ （v = 0, j = 1） → NeH＋ ＋ H on the ground state （12AI） using the LZHH potential energy surface constructed by L/i et al. [Lu S J, Zhang P Y, Han K L and He G Z 2010 J. Chem. Phys. 132 014303]. Differential cross sections at many collision energies indicate that the reaction is dominated by forward-scattering. In addition, the Nell＋ product shows rotationally hot and vibrationally cold distributions. Stereodynamical results indicate that the products are strongly polarized in the direction perpendicular to the scattering plane and that the products rotate mainly in planes parallel to the scattering plane.
基金Project supported by the National Natural Science Foundation of China(Grant No.21073110)the Independent Innovation Foundation of Shandong University,China(Grant No.2010GN030)the National Science Foundation for Postdoctoral Scientists of China(Grant No.20100481280)
文摘Bai Meng-Meng, Ge Mei-Hua, Yang Huan, and Zheng Yu-Jun School of Physics, Shandong University, J/nan 250100, China The quasi-classical trajectory （QCT） method is used to study the H＋HS reaction on a newly built potential energy surface （PES） of the triplet state of H2S （3AH） in a collision energy range of 0-60 kcal/mol. Both scalar properties, such as the reaction probability and the integral cross section （ICS）, and the vector properties, such as the angular distribution between the relative velocity vector of the reactant and that of the product, etc., are investigated using the QCT method. It is found that the ICSs obtained by the QCT method and the quantum mechanical （QM） method accord well with each other. In addition, the distribution for the product vibrational states is cold, while that for the product rotational states is hot for both reaction channels in the whole energy range studied here.
文摘对于O+NH反应,在~3A″和~1A″势能面(Guadagnini R,Schatz G C,Walch S P.Global potential energysurface for the lowest^1 A′,~3A″,and^1A″states of HNO[J].J.Chem.Phys.,1995,10:774)上,我们运用coupled state or centrifugal sudden(CS)近似和close coupling or Coriolis coupled(CC)方法进行了量子动力学计算.通过比较两种方法得到的总的反应几率,我们发现对于两个势能面上的标题反应,CS近似是失效的.我们还讨论了用CS和CC方法得到的速率常数,并进行了结果比较.
文摘采用close coupling (CC)方法,在3A″势能面上[Guadagnini R,Schatz G C,Walch S P.Global potential energy surface for the lowest 1A′,3A″,and 1A″ states of HNO [J].J.Chem.Phys.,1995,10: 774],我们利用量子含时波包方法对N + OH的同位素反应-N+OD进行了研究.在0.0～0.8 eV的平动能范围内,选态的反应几率受共振结构支配.利用J-shifting方法计算,我们得到了基态的速率常数,并对分子间的同位素效应进行了研究.
