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All relativistic corrections to the Scr{\"o}dinger equation which determinethe interlink between spin and orbit of moving particles, are directlycalculated from the Dirac equation using the spin invariant operators. It isshown that among the second order corrections there are not only the well-knownDarwin and Thomas terms, but also the new ones. Only with the account of thelatter corrections the energies found with the obtained spin-orbit interactionoperator, coincide with the energies of the Dirac equation exact solution. Theproblem of electron spectrum in the quantum well type structures is studied indetails and the physical reasons for the appearance of spin-orbit interactionoperators in the Dresselhaus or Rashba form, are analyzed.

On the theory of the Schroedinger equation with the full set of relativistic corrections