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On the Essential Spectrum of a Matrix Operator on a Hilbert Space

Year: 2025

Type: article

Abstract: We study essential spectrum of a matrix operator ℍ, that describes three particles interacting in the direct sum of certain subspaces of the Fock space. It is shown that the essential spectrum of this operator lies in the real axis and is described as a union of segments. Moreover, we establish the maximum for number of segments.

Source: Innovations in Science and Technologies

DOI: 10.5281/zenodo.15097701

Author: Alladustov, Shukhrat

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W6949522637

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