Spectral relations for a matrix model in fermionic Fock space

DOI10.3103/S1066369X2470021XMaRDI QIDQ6599717

T. Kh. Rasulov, D. E. Ismoilova

Publication date: 6 September 2024

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

spectrummatrix modelessential spectrumFock spacecreation operatorpoint spectrumannihilation operatorfermion

Mathematics Subject Classification ID

General theory of linear operators (47Axx) General mathematical topics and methods in quantum theory (81Qxx) Applications of quantum theory to specific physical systems (81Vxx)

Cites Work

• Branches of the essential spectrum of the lattice spin-boson model with at most two photons
• The finiteness of the discrete spectrum of a model operator associated with a system of three particles on a lattice
• The Faddeev equation and the location of the essential spectrum of a model multi-particle operator
• On the spectrum of the lattice spin-boson Hamiltonian for any coupling: 1D case
• Invariant subspaces and eigenvalues of the three-particle discrete Schrödinger operators
• Conditions for the existence of eigenvalues of a three-particle lattice model Hamiltonian
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