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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 205, Number 3, Pages 400–419
DOI: https://doi.org/10.4213/tmf9794 (Mi tmf9794) 		 
Calogero–Sutherland system at a free fermion point

M. G. Matushkoab

a National Research University "Higher School of Economics", Moscow, Russia
b Center for Advanced Studies, Skolkovo Institute of Science and Technology, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf9794
Abstract: 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, free fermion, boson–fermion correspondence.
Funding agency Grant number
Russian Science Foundation 20-41-09009
Simons Foundation
This research was supported by a grant from the Russian Science Foundation (Project No. 20-41-09009) and by the Simons Foundation.
Received: 04.08.2019
Revised: 21.06.2020
English version:
Theoretical and Mathematical Physics, 2020, Volume 205, Issue 3, Pages 1593–1610
DOI: https://doi.org/10.1134/S0040577920120041
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. G. Matushko, “Calogero–Sutherland system at a free fermion point”, TMF, 205:3 (2020), 400–419; Theoret. and Math. Phys., 205:3 (2020), 1593–1610
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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