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1·In order to calculate the coulomb potential scattering, the path integral is investiged in momentum space.

在合理的近似下，通过在动量表象中计算路径积分，较为方便地求出了。

2·The electron gas screening on Coulomb potential can be weakened greatly when Landau level filling factor is an even number.

当填充因子为偶数时，其本征能量的绝对值最大，此时电子气对库仑势的屏蔽效应最弱。

3·For the quasi one-dimensional electron systems with coulomb interaction, a new model is presented. The form of effective coulomb potential is derived.

对于具有库仑相互作用的准一维电子体系，本文提出了一种新的模型，得到了准一维体系的电子有效库仑势形式。

4·The Hamiltonian of sodium atom is reduced by using screening Coulomb potential, and the energy levels of sodium atom are calculated by means of twofold perturbation.

用屏蔽库仑势简化了钠原子的哈密顿，用两次微扰法计算了钠原子的能量，结果与实验值符合得较好。

5·The results show that the vibration frequency and effective mass of the strong - and weak - coupling bound polaron will increase with increasing the absolute value of the Coulomb potential.

结果表明，束缚极化子的振动频率和有效质量随库仑势的绝对值的增加而增大。

6·The ground state energy, the vibrational frequency and the mean number of optical phonons are expressed as a function of the confinement strength of quantum wire and the Coulomb bound potential.

计算了抛物量子线中强耦合束缚极化子的基态能量、振动频率和声子平均数。讨论了这些量对库仑束缚势和约束强度的依赖关系。

7·Numerical calculations are performed and the results show that the vibrational frequency and the mean number of optical phonons will increase with increasing the Coulomb bound potential.

数值计算结果表明：量子线中强耦合束缚极化子的基态能量随库仑束缚势的增加而减少，随约束强度的增加而增大；