Article

ON THE SPECTRAL PROPERTIES OF THE MODEL OPERATOR ON A FERMIONIC FOCK SPACE

Zahriddin MuminovTashkent State University of EconomicsShuhrat AlladustovTashkent State University of Economics

Journal of Mathematical Sciences and Informaticsjournal2024en

ABI

Abstract

We study a model operator , associated to a system of two identical fermions and another particle of a different nature, acting in the direct sum of zero-, one-, and two-particle subspaces of the fermionic Fock space. We show that the essential spectrum of this operator consist of the union of at most four segments on the real axis. We also explicitely derive a formula for the corresponding resolvent operator.

Topics

Spectral Theory in Mathematical Physics Matrix Theory and Algorithms Random Matrices and Applications

Identifiers

DOI: 10.46754/jmsi.2024.12.002

Citations and references

Cited by 09 references

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