The hydrogen atom in α-dimensional space
The hydrogen atom system can be solved strictly by the eigenvalue equation and get analytical solutions,which is uncommon as a quantum mechanics system.In this study,we obtained wave functions and bound state energies of the hydrogen atom by the Schr?dinger equation of the hydrogen atom in the noninteger-dimensional space.And we discussed dimensional behavior in binding energy,angular momentum,and radial density.The dimension ? is given by the degree of anisotropy of the actual physical system.The excitons in solids are similar to the hydrogen atoms,except that the mass of their center positive charge is different,so the results obtained in this study were also applicable to excitons in anisotropic solids and hydrogenic impurities,which have application value.
Hua Li Hui Sun
Department of Fundamental Courses,Academy of Armored Forces,Beijing,China Department of Physics,Beijing Normal University,Beijing,China
国际会议
上海
英文
1-5
2017-12-28（万方平台首次上网日期，不代表论文的发表时间）