The polar model of a metal developed by Bogolyubov  is extended to the case of a group of equivalent electrons on each of the atoms that form a crystal. A procedure is suggested for treating the second-quantized Hamiltonian that includes the interconfigurational interaction with the help of the double tensor operators W πq иκ . The relationship between these operators and the unitary operators α a , which act separately in the space of the spin and orbital functions, is pointed out. The conditions for the applicability of the Heisenberg model are analyzed.
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In conclusion I wish to thank B. V. Karpenko for the statement of this problem and for numerous consultations and discussions.
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Sidorov, A.A. Exchange interaction of weakly delocalized multielectron systems. Soviet Physics Journal 16, 658–663 (1973). https://doi.org/10.1007/BF00898804
- Exchange Interaction
- Heisenberg Model
- Polar Model
- Tensor Operator
- Orbital Function