Geodesic
Calogero--Sutherland system at a~free fermion point
Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 3, pp. 400-419

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We present two ways to obtain precise expressions for the commuting Hamiltonians of the integrable system regarded as a fermionic limit of the quantum Calogero–Sutherland system as the number of particles tends to infinity with some special values of the coupling constant $\beta$. The construction is realized in the Fock space.
Keywords: Calogero–Sutherland system
Mots-clés : free fermion, boson–fermion correspondence. 
@article{TMF_2020_205_3_a3,
     author = {M. G. Matushko},
     title = {Calogero--Sutherland system at a~free fermion point},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {400--419},
     publisher = {mathdoc},
     volume = {205},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_205_3_a3/}
}
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M. G. Matushko. Calogero--Sutherland system at a~free fermion point. Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 3, pp. 400-419. http://geodesic.mathdoc.fr/item/TMF_2020_205_3_a3/