Geodesic
Spectral relations for a matrix model in fermionic Fock space
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2024), pp. 91-96 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a matrix model ${\mathcal A}$, related to a system describing two identical fermions and one particle of another nature on a lattice, interacting via annihilation and creation operators. The problem of the study of the spectrum of a block operator matrix ${\mathcal A}$ is reduced to the investigation of the spectrum of block operator matrices of order three with a discrete variable, and relations for the spectrum, essential spectrum and point spectrum are established. Two-particle and three-particle branches of the essential spectrum of the block operator matrix ${\mathcal A}$ are singled out.
Keywords: matrix model, Fock space, spectrum, essential spectrum, point spectrum, creation operator, annihilation operator.
Mots-clés : fermion 
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T. Kh. Rasulov; D. E. Ismoilova. Spectral relations for a matrix model in fermionic Fock space. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2024), pp. 91-96. http://geodesic.mathdoc.fr/item/IVM_2024_3_a7/

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