Derivation of~the indirect interaction operator by~the path integral method. Exact results in~the $s-d$ exchange model
Teoretičeskaâ i matematičeskaâ fizika, Tome 80 (1989) no. 3, pp. 405-417

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A method of obtaining the effective Hamiltonian of indirect interaction is suggested which is based on the path integral method. The nonperturbative expression for the potential of two-particle indirect interaction of localized magnetic momenta is derived in the $s-d$ exchange model.
@article{TMF_1989_80_3_a8,
     author = {A. F. Izmailov and A. R. Kessel},
     title = {Derivation of~the indirect interaction operator by~the path integral method. {Exact} results in~the $s-d$ exchange model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {405--417},
     publisher = {mathdoc},
     volume = {80},
     number = {3},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_80_3_a8/}
}
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A. F. Izmailov; A. R. Kessel. Derivation of~the indirect interaction operator by~the path integral method. Exact results in~the $s-d$ exchange model. Teoretičeskaâ i matematičeskaâ fizika, Tome 80 (1989) no. 3, pp. 405-417. http://geodesic.mathdoc.fr/item/TMF_1989_80_3_a8/