Abstract
A new formula has been derived for the kinetic energy of a system of many particles which includes a dependence on the full angular momentum of the system. For a closed multiparticle system the angular momentum is conserved and may be used for a classification of energy levels of the system. This method was applied to the classification of atomic states and it was shown that rotational states with a given moment of momentum produce countable degenerated sets. A system of two electrons was considered and it has been suggested to use an angular coordinate instead of radial variable to facilitate calculation of matrix elements of electron interaction due to integration over O(4) spherical harmonics. To this end, a new idea and algorithm for solving multielectron Schroedinger equation has been suggested that allows one to bring together the problem to two-electron system to obtain bispinorbitals (bispinals).
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Novosadov, B.K. (2023). A New Development in Theory of Multielectron Systems. In: Kolotov, V.P., Bezaeva, N.S. (eds) Advances in Geochemistry, Analytical Chemistry, and Planetary Sciences. Springer, Cham. https://doi.org/10.1007/978-3-031-09883-3_38
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