SPECTRAL PROPERTIES OF THE FRIEDRICHS MODEL WITH EXCITATION RANK EQUAL TO THREE

Authors

  • Qosimova Maftuna Ulugbekovna Master's Student at Samarkand State University

Keywords:

Friedrichs model, spectral theory, excitation rank, continuous spectrum, point spectrum, embedded eigenvalues, operator theory.

Abstract

This article investigates the spectral properties of the Friedrichs model with an excitation rank equal to three. The model is analyzed within the framework of functional analysis and operator theory. The focus is on the structure of the spectrum, including the absolutely continuous spectrum, point spectrum, and possible singular continuous spectrum. Special attention is given to the role of the excitation rank in shaping the spectral behavior and the interaction between discrete and continuous spectral components. Analytical techniques are employed to derive explicit conditions for the appearance of eigenvalues embedded in the continuous spectrum.

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Published

2025-07-17

Issue

Section

Articles

How to Cite

SPECTRAL PROPERTIES OF THE FRIEDRICHS MODEL WITH EXCITATION RANK EQUAL TO THREE. (2025). Web of Scientists and Scholars: Journal of Multidisciplinary Research, 3(7), 23-28. https://webofjournals.com/index.php/12/article/view/4895