Berlin 2001 – scientific programme

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A: Atomphysik

A 17: Posters Friday (Spectroscopy)

A 17.36: Poster

Friday, April 6, 2001, 12:30–15:00, AT3

ON THE RELATIVISTIC EQUIVALENT HAMILTONIAN IN THE LS COUPLING — •Valdas Jonauskas and Romualdas Karazija — State Institute of Theoretical Physics and Astronomy, A. Gostauto 12, 2600 Vilnius, Lithuania

The Armstrong’s method [1] on relativistic description of atom in LS coupling using the equivalent operator is developed. Such operator produces the same result in the nonrelativistic LS scheme as if is obtained by evaluating the relativistic Hamiltonian with respect to relativistic wave functions. This method has several advantages in comparison with rather complicated transformation from jj to LS coupling.

The form of the equivalent Breit operator useful for practical calculations is obtained. The physical meaning of its separate terms is investigated in a general case. The relativistic Dirac-Fock equations for the level and term in LS coupling are derived. The equivalent operator is applied to obtain the averages of relativistic operators too.

1. Armstrong L. Jr., J. Math. Phys. 7, 1803 (1966); 9, 1083 (1968).