spin-spin interaction
1.spin-orbit interaction
2.In this thesis, based on Racah method of two-electron atom and non-relativistic energy structure for Helium-like atoms, the relativistic corrections and the fine structure of Helium-like atoms, including the relativistic mass correction, the Darwin correction terms, the electron-electron contact terms, the orbit-orbit interaction, the spin-orbit interaction, the spin-other-orbit interaction and the spin-spin interaction, are studied systemically using irreducible tensor.
3.In the present paper, the spherical tensor formalism of the fine structure Hamiltonian for multi-electron atoms is applied to deduce the matrix elements of the spin-spin interaction operator of helium in the LSJM scheme. Based on the result, the fine structure parameter of the spin-spin interaction in helium is derived theoretically. As an example, we calculate concretely the fine structure parameter of (n_1s)(n_2p) configuration of helium atom.
5.Spin orbit interaction and sp d exchange interaction are investigated by analyzing beating patterns of Shubnikov de Hass oscillations in a HgMnTe magnetic two dimensional electron gas (2DEG) at various temperatures.
6.The values of Slater-Condon (F2, F4, F6) interelectronic repulsion and Lande parameter (ξ4f) spin-orbit interaction parameters have been computed from the spectral data.
7.In this thesis, based on Racah theory and non-relativistic energy structure for Beryllium-like atoms, the relativistic corrections and the fine structure of Beryllium-like atoms, including the relativistic mass correction, the Darwin correction terms, the electron-electron contact terms, the orbit-orbit interaction, the spin-orbit interaction, and the spin-other-orbit interaction , are studied systematically using irreducible tensor theory.
8.To understand the supression of spin orbit forces in bafyons, we derive the fourth-order quark-quark interaction in perturbative QCD with emphasis on a rigorous investigation of the spin orbit interaction terms and we propose a new way which can use Feynman diagram technic to calculate the time-ordered diagram.
9.The modified Dirac equation for an electron moved in an electromagnetic field is presented. The spin angular momentum and the spin orbit interaction are deduced. The modified Dirac equation for an electron in a central field is solved and the fine structures of hydrogen atom levels are calculated.
10.Based on the tensor expression for the Breit-Pauli Hamiltonian,and with the aid of irreducible tensor theory,an analytic formulism for calculating the relativistic corrections to the non-relativistic energies of many-electron atoms has been established. Matrix elements in sets of Slater functions of the relativistic correction operators,which include mass correction term,oneand two-body Darwin correction terms,spin-spin contact interaction term and orbit-orbit interaction term,have been derived explicitly.

