The Energy Spectrum Of Electron Correlation System In A Strong Magnetic Field Are Calculated

In this paper, the B-spline basis method is spreaded the advanced use of correlative calculations of double-electron atomic systems. With B-spline basis set, the groun-state correlation energies of helium and other double-electron systems are computed, the results are compared with those obtained by Slater type functions, but our calculations are more accurate. It is shown that the B-spline technique can be used widely in the calculations of electronic correlation. With B-spline basis set, a new method for double-electron atomic systems in uniform intermediated magnetic fields is given. All the matrix elements in our calculations are formulated as products of simple, independent one-dimensional numerical integrals and analytic ones. The result obtained are better than ones obtained by previous spherical and cylinderical symmetric basis.The correlative energies of ground-state and low excited states of H~-in magnetic fields or in absence of fields are calculated with modified Slater-type functions, and the most accurate energies and binding energies of H~ in magentic fields at present are obtained with this method.With the idea of full core plus correlations, a new method suitable for calculations of three-electron atomic systems in uniform magnetic fields. The energies of 1s~22s and 1s~22p state of lithium are obtained. These are the first results that can be obtained with Configuration-interaction method, the results are most 2 orders of magnitude better than ones obtained with spin-untricted Hartree-Fock method.