In the present paper a general formula for exact calculation of the discrepancy of an arbitrary finite point set of dimension d≥2 is explicitly given only in terms of the components of the points.
This letter is a continuation of refs.[1] and [2]. Let d≥2, S<sub>d</sub>={u<sub>k</sub>（1≤k≤n）} be a finiteset of points in the d-dimensional unit cube [0, 1)<sup>d</sup>, whe...This letter is a continuation of refs.[1] and [2]. Let d≥2, S<sub>d</sub>={u<sub>k</sub>（1≤k≤n）} be a finiteset of points in the d-dimensional unit cube [0, 1)<sup>d</sup>, where u<sub>k</sub>=(u<sub>1,k</sub>, u<sub>2,k</sub>,…,u<sub>d,k</sub>)展开更多
1-D quantum calculations of reaction probabilities have been carried out for the col- linear reaction Cl+HCl (v≤3)→ClH (v＇≤3)+Cl using hyperspherical coordinates. An LEPS po- tential energy surface with a shallow ...1-D quantum calculations of reaction probabilities have been carried out for the col- linear reaction Cl+HCl (v≤3)→ClH (v＇≤3)+Cl using hyperspherical coordinates. An LEPS po- tential energy surface with a shallow well depth of -3.22 KJ/mol has been used in the calculations. The state-to-state reaction probabilities have been calculated. According to the results obtained we found that the diagonal (v=v＇) reaction probabilities dominate over the off-diagonal (vv＇) reaction probabilities and the largest off-diagonal reaction probabilities are smaller than 0.1. The reaction probabilities show oscillation as a function of energy. Dynamic resonances strengthen for the potential energy surface with a well.展开更多
In this paper, the Schrodinger equation for a 6-body system is studied. We solve this equation for the lithium nucleus by using a supersymmetry method with several specific potentials. These potentials are the Yukawa ...In this paper, the Schrodinger equation for a 6-body system is studied. We solve this equation for the lithium nucleus by using a supersymmetry method with several specific potentials. These potentials are the Yukawa potential, the generalized Yukawa potential and the Hellmann potential. The results of our model for all calculations show that the ground state binding energy of the lithium nucleus with these potentials is very close to that obtained experimentally.展开更多
文摘In the present paper a general formula for exact calculation of the discrepancy of an arbitrary finite point set of dimension d≥2 is explicitly given only in terms of the components of the points.
基金Project supported in part by the National Natural Science Foundation of China a DAAD-K.C.Wong Research Grant.
文摘This letter is a continuation of refs.[1] and [2]. Let d≥2, S<sub>d</sub>={u<sub>k</sub>（1≤k≤n）} be a finiteset of points in the d-dimensional unit cube [0, 1)<sup>d</sup>, where u<sub>k</sub>=(u<sub>1,k</sub>, u<sub>2,k</sub>,…,u<sub>d,k</sub>)
文摘1-D quantum calculations of reaction probabilities have been carried out for the col- linear reaction Cl+HCl (v≤3)→ClH (v＇≤3)+Cl using hyperspherical coordinates. An LEPS po- tential energy surface with a shallow well depth of -3.22 KJ/mol has been used in the calculations. The state-to-state reaction probabilities have been calculated. According to the results obtained we found that the diagonal (v=v＇) reaction probabilities dominate over the off-diagonal (vv＇) reaction probabilities and the largest off-diagonal reaction probabilities are smaller than 0.1. The reaction probabilities show oscillation as a function of energy. Dynamic resonances strengthen for the potential energy surface with a well.
文摘In this paper, the Schrodinger equation for a 6-body system is studied. We solve this equation for the lithium nucleus by using a supersymmetry method with several specific potentials. These potentials are the Yukawa potential, the generalized Yukawa potential and the Hellmann potential. The results of our model for all calculations show that the ground state binding energy of the lithium nucleus with these potentials is very close to that obtained experimentally.
