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New exact and asymptotical results for the one particle Green's function of2D electrons with combined Rashba - Dresselhaus spin - orbit interaction in thepresence of in-plane uniform magnetic field are presented. A special case thatallows an exact analytical solution is also highlighted. To demonstrate theadvantages of our approach we apply the obtained Green's function tocalculation of electron density and magnetization

Exact and quasiclassical Green's functions of two-dimensional electron gas with Rashba-Dresselhaus spin-orbit interaction in parallel magnetic field